{"id":14193,"date":"2025-06-07T02:11:08","date_gmt":"2025-06-06T19:11:08","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=14193"},"modified":"2025-07-04T06:35:05","modified_gmt":"2025-07-03T23:35:05","slug":"trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/","title":{"rendered":"Trung b\u00ecnh c\u1ed9ng l\u00e0 g\u00ec? C\u00e1ch t\u00ednh trung b\u00ecnh c\u1ed9ng chu\u1ea9n x\u00e1c"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Trung_binh_la_bao_nhieu\" >Trung b\u00ecnh l\u00e0 bao nhi\u00eau?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Cach_tinh_trung_binh\" >C\u00e1ch t\u00ednh trung b\u00ecnh<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Y_nghia_cua_so_trung_binh\" >\u00dd ngh\u0129a c\u1ee7a s\u1ed1 trung b\u00ecnh<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Cac_loai_tap_the_duc_trung_binh\" >C\u00e1c lo\u1ea1i t\u1eadp th\u1ec3 d\u1ee5c trung b\u00ecnh<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Mau_1_Tim_so_trung_binh_khi_biet_tong\" >M\u1eabu 1: T\u00ecm s\u1ed1 trung b\u00ecnh khi bi\u1ebft t\u1ed5ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Mau_2_Tinh_trung_binh_cua_hai_so_nguyen\" >M\u1eabu 2: T\u00ednh trung b\u00ecnh c\u1ee7a hai s\u1ed1 nguy\u00ean<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Mau_3_Tim_so_thuat_ngu_khi_ban_biet_tong_va_trung_binh\" >M\u1eabu 3: T\u00ecm s\u1ed1 thu\u1eadt ng\u1eef khi b\u1ea1n bi\u1ebft t\u1ed5ng v\u00e0 trung b\u00ecnh<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Mau_4_Tim_cac_thuat_ngu_khong_xac_dinh_khi_biet_trung_binh_cua_phan_con_lai\" >M\u1eabu 4: T\u00ecm c\u00e1c thu\u1eadt ng\u1eef kh\u00f4ng x\u00e1c \u0111\u1ecbnh khi bi\u1ebft trung b\u00ecnh c\u1ee7a ph\u1ea7n c\u00f2n l\u1ea1i<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Mau_5_Tinh_trung_binh_cua_chuoi_so_nguyen\" >M\u1eabu 5: T\u00ednh trung b\u00ecnh c\u1ee7a chu\u1ed7i s\u1ed1 nguy\u00ean<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Mau_6_Tinh_toan_va_so_sanh_voi_trung_binh\" >M\u1eabu 6: T\u00ednh to\u00e1n v\u00e0 so s\u00e1nh v\u1edbi trung b\u00ecnh<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Giai_cac_bai_tap_trung_binh_cong_voi_trang_697071_sach_giao_khoa_toan_hoc_lop_4\" >Gi\u1ea3i c\u00e1c b\u00e0i t\u1eadp trung b\u00ecnh c\u1ed9ng v\u1edbi trang 69,70,71, s\u00e1ch gi\u00e1o khoa to\u00e1n h\u1ecdc l\u1edbp 4<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Bai_1_%E2%80%93_Trang_69_%E2%80%93_Toan_hoc_lop_4_%E2%80%93_Tap_1_%E2%80%93_Canh_dieu_SGK\" >B\u00e0i 1 &#8211; Trang 69 &#8211; To\u00e1n h\u1ecdc l\u1edbp 4 &#8211; T\u1eadp 1 &#8211; C\u00e1nh di\u1ec1u SGK<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Bai_2_%E2%80%93_Trang_70_%E2%80%93_Toan_hoc_lop_4_%E2%80%93_Tap_1_%E2%80%93_SGK_dieu\" >B\u00e0i 2 &#8211; Trang 70 &#8211; To\u00e1n h\u1ecdc l\u1edbp 4 &#8211; T\u1eadp 1 &#8211; SGK di\u1ec1u<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Bai_3_%E2%80%93_Trang_71_%E2%80%93_Toan_hoc_lop_4_%E2%80%93_Tap_1_%E2%80%93_Canh_dieu_SGK\" >B\u00e0i 3 &#8211; Trang 71 &#8211; To\u00e1n h\u1ecdc l\u1edbp 4 &#8211; T\u1eadp 1 &#8211; C\u00e1nh di\u1ec1u SGK<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Bai_hoc_4_%E2%80%93_Trang_71_%E2%80%93_Toan_hoc_lop_4_%E2%80%93_Tap_1_%E2%80%93_SGK_dieu\" >B\u00e0i h\u1ecdc 4 &#8211; Trang 71 &#8211; To\u00e1n h\u1ecdc l\u1edbp 4 &#8211; T\u1eadp 1 &#8211; SGK di\u1ec1u<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.ckconitsha.com\/vn\/trung-binh-cong-la-gi-cach-tinh-trung-binh-cong-chuan-xac\/#Bai_hoc_5_%E2%80%93_Trang_71_%E2%80%93_Toan_hoc_lop_4_%E2%80%93_Tap_1_%E2%80%93_SGK_dieu\" >B\u00e0i h\u1ecdc 5 &#8211; Trang 71 &#8211; To\u00e1n h\u1ecdc l\u1edbp 4 &#8211; T\u1eadp 1 &#8211; SGK di\u1ec1u<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>C\u1ed9ng s\u1ea3n trung b\u00ecnh &#8211; M\u1ed9t kh\u00e1i ni\u1ec7m quen thu\u1ed9c nh\u01b0ng v\u1eabn c\u1ea7n \u0111\u01b0\u1ee3c hi\u1ec3u \u0111\u00fang v\u00e0 \u00e1p d\u1ee5ng ch\u00ednh x\u00e1c. V\u1eady m\u1ee9c trung b\u00ecnh l\u00e0 bao nhi\u00eau? L\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 t\u00ednh to\u00e1n n\u00f3 m\u1ed9t c\u00e1ch ch\u00ednh x\u00e1c? Nh\u1eefng lo\u1ea1i to\u00e1n h\u1ecdc c\u00f4ng c\u1ed9ng theo ch\u01b0\u01a1ng tr\u00ecnh gi\u00e1o d\u1ee5c ph\u1ed5 th\u00f4ng? H\u00e3y t\u00ecm hi\u1ec3u trong b\u00e0i vi\u1ebft n\u00e0y v\u1edbi Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef!<\/p>\n<p>                        Xem t\u1ea5t c\u1ea3<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Trung_binh_la_bao_nhieu\"><\/span>Trung b\u00ecnh l\u00e0 bao nhi\u00eau?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Trung b\u00ecnh l\u00e0 bao nhi\u00eau? Trung b\u00ecnh c\u1ed9ng l\u00e0 m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong to\u00e1n h\u1ecdc v\u00e0 th\u1ed1ng k\u00ea \u0111\u1ec3 t\u00ecm gi\u00e1 tr\u1ecb trung t\u00e2m c\u1ee7a t\u1eadp d\u1eef li\u1ec7u. \u0110\u1ec3 t\u00ednh to\u00e1n trung b\u00ecnh, ch\u00fang ta c\u1ea7n th\u1ef1c hi\u1ec7n t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb trong t\u1eadp d\u1eef li\u1ec7u l\u1ea1i v\u1edbi nhau v\u00e0 sau \u0111\u00f3 chia cho s\u1ed1 l\u01b0\u1ee3ng gi\u00e1 tr\u1ecb trong t\u1eadp h\u1ee3p \u0111\u00f3.<\/p>\n<p dir=\"ltr\">\u0110\u1ec3 m\u00f4 t\u1ea3 c\u1ee5 th\u1ec3 h\u01a1n, gi\u1ea3 s\u1eed ch\u00fang ta c\u00f3 m\u1ed9t chu\u1ed7i c\u00e1c s\u1ed1 bao g\u1ed3m n ph\u1ea7n t\u1eed: x1, x2, x3, &#8230; xn. Trung b\u00ecnh c\u1ee7a chu\u1ed7i n\u00e0y s\u1ebd l\u00e0:<\/p>\n<p dir=\"ltr\"><\/p>\n<p dir=\"ltr\">\u0110\u1ec3 t\u01b0\u1edfng t\u01b0\u1ee3ng, h\u00e3y t\u01b0\u1edfng t\u01b0\u1ee3ng ch\u00fang ta c\u00f3 m\u1ed9t b\u1ed9 5 s\u1ed1: 1, 2, 3, 4 v\u00e0 5. Trung b\u00ecnh c\u1ee7a b\u1ed9 s\u01b0u t\u1eadp n\u00e0y s\u1ebd \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00e1ch l\u1ea5y t\u1ed5ng c\u1ee7a t\u1ea5t c\u1ea3 c\u00e1c s\u1ed1 (15) chia cho 5 (s\u1ed1 l\u01b0\u1ee3ng trong b\u1ed9 s\u01b0u t\u1eadp), k\u1ebft qu\u1ea3 s\u1ebd l\u00e0 3.<\/p>\n<p dir=\"ltr\">Do \u0111\u00f3, trung b\u00ecnh, ch\u00fang t\u00f4i c\u00f3 m\u1ed9t c\u00e1i nh\u00ecn t\u1ed5ng quan v\u00e0 \u0111\u1ea1i di\u1ec7n cho vi\u1ec7c thu th\u1eadp d\u1eef li\u1ec7u m\u00e0 kh\u00f4ng ph\u1ea3i xem x\u00e9t t\u1eebng gi\u00e1 tr\u1ecb ri\u00eang bi\u1ec7t. \u0110i\u1ec1u n\u00e0y \u0111\u1eb7c bi\u1ec7t h\u1eefu \u00edch khi l\u00e0m vi\u1ec7c v\u1edbi m\u1ed9t l\u01b0\u1ee3ng l\u1edbn d\u1eef li\u1ec7u.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/02-trung-binh-cong.png\" alt=\"Trung b\u00ecnh l\u00e0 bao nhi\u00eau? (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cach_tinh_trung_binh\"><\/span>C\u00e1ch t\u00ednh trung b\u00ecnh<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Trung b\u00ecnh, n\u00f3 \u0111\u00f3ng m\u1ed9t vai tr\u00f2 quan tr\u1ecdng trong vi\u1ec7c \u0111\u00e1nh gi\u00e1 s\u1ef1 c\u00e2n b\u1eb1ng v\u00e0 t\u00ednh \u0111\u1ed3ng nh\u1ea5t c\u1ee7a m\u1ed9t chu\u1ed7i c\u00e1c s\u1ed1. \u0110\u1ec3 x\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb trung b\u00ecnh, ch\u00fang t\u00f4i l\u00e0m theo c\u00e1c b\u01b0\u1edbc sau:<\/p>\n<ol>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">X\u00e1c \u0111\u1ecbnh t\u1ed5ng c\u1ee7a chu\u1ed7i: Th\u00eam t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb trong chu\u1ed7i \u0111\u1ec3 l\u1ea5y t\u1ed5ng c\u1ee7a ch\u00fang.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">\u0110\u1ebfm t\u1ed5ng s\u1ed1 ph\u1ea7n t\u1eed: X\u00e1c \u0111\u1ecbnh s\u1ed1 l\u01b0\u1ee3ng ph\u1ea7n t\u1eed trong chu\u1ed7i.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Chia t\u1ed5ng s\u1ed1 ph\u1ea7n t\u1eed: \u0110\u00e2y l\u00e0 ph\u00e1t hi\u1ec7n trung b\u00ecnh, chia t\u1ed5ng gi\u00e1 tr\u1ecb \u0111\u01b0\u1ee3c t\u00ecm th\u1ea5y trong B\u01b0\u1edbc 1 cho s\u1ed1 l\u01b0\u1ee3ng c\u00e1c ph\u1ea7n t\u1eed \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh trong B\u01b0\u1edbc 2.<\/p>\n<\/li>\n<\/ol>\n<p dir=\"ltr\">C\u00f4ng th\u1ee9c chung:<\/p>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/3-trung-binh-cong.png\" alt=\"\" width=\"356\" height=\"45\"><\/p>\n<p dir=\"ltr\">Trong \u0111\u00f3:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ai l\u00e0 gi\u00e1 tr\u1ecb c\u1ee7a y\u1ebfu t\u1ed1 \u0111\u1ea7u ti\u00ean.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">N l\u00e0 t\u1ed5ng s\u1ed1 ph\u1ea7n t\u1eed trong chu\u1ed7i.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">C\u00f4ng th\u1ee9c r\u00fat ng\u1eafn cho trung b\u00ecnh 2 s\u1ed1:<\/p>\n<p dir=\"ltr\">Khi ch\u00fang ta ch\u1ec9 c\u00f3 hai s\u1ed1, c\u00f4ng th\u1ee9c tr\u1edf n\u00ean \u0111\u01a1n gi\u1ea3n h\u01a1n. Gi\u1ea3 s\u1eed hai s\u1ed1 \u0111\u00f3 l\u00e0 X v\u00e0 Y, trung b\u00ecnh s\u1ebd l\u00e0:<\/p>\n<p dir=\"ltr\"><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/4-trung-binh-cong.png\" alt=\"\" width=\"194\" height=\"27\"><\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5: \u0111\u1ec3 t\u00ecm trung b\u00ecnh c\u1ee7a c\u00e1c s\u1ed1 7 v\u00e0 13, ch\u00fang t\u00f4i s\u1ebd th\u00eam c\u1ea3 hai s\u1ed1 v\u00e0 sau \u0111\u00f3 chia cho 2. K\u1ebft qu\u1ea3 s\u1ebd l\u00e0 (7 + 13)\/2 = 10.<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Y_nghia_cua_so_trung_binh\"><\/span>\u00dd ngh\u0129a c\u1ee7a s\u1ed1 trung b\u00ecnh<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110i\u1ec3m c\u1ed9ng trung b\u00ecnh l\u00e0 m\u1ed9t trong nh\u1eefng ch\u1ec9 s\u1ed1 to\u00e1n h\u1ecdc c\u01a1 b\u1ea3n nh\u01b0ng mang l\u1ea1i nhi\u1ec1u \u00fd ngh\u0129a trong c\u00e1c \u1ee9ng d\u1ee5ng th\u1ef1c t\u1ebf. Khi ch\u00fang ta n\u00f3i v\u1ec1 m\u1ee9c trung b\u00ecnh, ch\u00fang ta kh\u00f4ng ch\u1ec9 \u0111\u1ec1 c\u1eadp \u0111\u1ebfn m\u1ed9t gi\u00e1 tr\u1ecb c\u00f3 gi\u00e1 tr\u1ecb cho vi\u1ec7c thu th\u1eadp, m\u00e0 c\u00f2n theo quan \u0111i\u1ec3m chung, m\u1ed9t b\u1ee9c tranh ph\u1ed5 bi\u1ebfn v\u1ec1 c\u00e1c \u0111\u1eb7c \u0111i\u1ec3m ho\u1eb7c xu h\u01b0\u1edbng c\u1ee7a d\u1eef li\u1ec7u. C\u1ee5 th\u1ec3:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">\u0110\u00e1nh gi\u00e1 m\u1ee9c \u0111\u1ed9 ph\u00e2n ph\u1ed1i d\u1eef li\u1ec7u: Trung b\u00ecnh c\u1ed9ng v\u1edbi ch\u00fang t\u00f4i gi\u00e1 tr\u1ecb trung t\u00e2m c\u1ee7a b\u1ed9 s\u01b0u t\u1eadp d\u1eef li\u1ec7u, gi\u00fap ch\u00fang t\u00f4i n\u1eafm b\u1eaft xu h\u01b0\u1edbng chung v\u00e0 ph\u00e2n t\u00edch c\u00e1c bi\u1ebfn \u0111\u1ed9ng c\u1ee7a d\u1eef li\u1ec7u.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">So s\u00e1nh v\u00e0 \u0111\u00e1nh gi\u00e1: D\u1ef1a tr\u00ean m\u1ee9c trung b\u00ecnh c\u1ee7a vi\u1ec7c b\u1ed5 sung, ch\u00fang t\u00f4i c\u00f3 th\u1ec3 so s\u00e1nh c\u00e1c nh\u00f3m, ch\u1eb3ng h\u1ea1n nh\u01b0 \u0111\u00e1nh gi\u00e1 hi\u1ec7u su\u1ea5t gi\u1eefa c\u00e1c nh\u00f3m lao \u0111\u1ed9ng, so s\u00e1nh c\u00e1c ch\u1ec9 s\u1ed1 gi\u00e1o d\u1ee5c gi\u1eefa c\u00e1c qu\u1ed1c gia ho\u1eb7c \u0111\u00e1nh gi\u00e1 t\u0103ng tr\u01b0\u1edfng kinh t\u1ebf theo n\u0103m.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">L\u00e0m c\u01a1 s\u1edf cho c\u00e1c quy\u1ebft \u0111\u1ecbnh: Trong nhi\u1ec1u tr\u01b0\u1eddng h\u1ee3p, \u0111i\u1ec3m c\u1ed9ng trung b\u00ecnh \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng l\u00e0m ti\u00eau chu\u1ea9n, gi\u00fap nh\u1eefng ng\u01b0\u1eddi ra quy\u1ebft \u0111\u1ecbnh c\u00f3 m\u1ed9t c\u00e1i nh\u00ecn t\u1ed5ng quan v\u00e0 \u0111\u01b0a ra quy\u1ebft \u0111\u1ecbnh m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ph\u1ea3n \u00e1nh m\u1ee9c \u0111\u1ed9 \u0111\u1ed3ng nh\u1ea5t v\u00e0 c\u00e2n b\u1eb1ng: Trong nhi\u1ec1u l\u0129nh v\u1ef1c nh\u01b0 kinh t\u1ebf, s\u1ee9c kh\u1ecfe ho\u1eb7c gi\u00e1o d\u1ee5c, m\u1ee9c trung b\u00ecnh ph\u1ed5 bi\u1ebfn th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 m\u1ee9c \u0111\u1ed9 c\u00e2n b\u1eb1ng gi\u1eefa c\u00e1c y\u1ebfu t\u1ed1. V\u00ed d\u1ee5, m\u1ee9c thu nh\u1eadp trung b\u00ecnh cao c\u00f3 th\u1ec3 ph\u1ea3n \u00e1nh s\u1ef1 ph\u00e1t tri\u1ec3n kinh t\u1ebf, trong khi tu\u1ed5i th\u1ecd trung b\u00ecnh cao c\u00f3 th\u1ec3 cho th\u1ea5y s\u1ee9c kh\u1ecfe t\u1ed1t v\u00e0 ch\u0103m s\u00f3c y t\u1ebf hi\u1ec7u qu\u1ea3.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/5-trung-binh-cong.png\" alt=\"\u00dd ngh\u0129a c\u1ee7a m\u1ee9c trung b\u00ecnh. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_loai_tap_the_duc_trung_binh\"><\/span>C\u00e1c lo\u1ea1i t\u1eadp th\u1ec3 d\u1ee5c trung b\u00ecnh<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t b\u1ea3n t\u00f3m t\u1eaft c\u00e1c lo\u1ea1i b\u00e0i t\u1eadp v\u1ec1 m\u1ee9c trung b\u00ecnh c\u1ee7a ph\u1ed5 bi\u1ebfn trong ch\u01b0\u01a1ng tr\u00ecnh trung h\u1ecdc m\u00e0 b\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_1_Tim_so_trung_binh_khi_biet_tong\"><\/span>M\u1eabu 1: T\u00ecm s\u1ed1 trung b\u00ecnh khi bi\u1ebft t\u1ed5ng<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Trong nhi\u1ec1u tr\u01b0\u1eddng h\u1ee3p th\u1ef1c t\u1ebf, ch\u00fang t\u00f4i th\u01b0\u1eddng \u0111\u01b0\u1ee3c cung c\u1ea5p t\u1ed5ng c\u1ee7a m\u1ed9t t\u1eadp h\u1ee3p s\u1ed1 v\u00e0 s\u1ed1 l\u01b0\u1ee3ng \u0111i\u1ec1u kho\u1ea3n trong t\u1eadp h\u1ee3p \u0111\u00f3, v\u00e0 t\u1eeb \u0111\u00f3 c\u1ea7n x\u00e1c \u0111\u1ecbnh m\u1ee9c trung b\u00ecnh c\u1ee7a b\u1ed9 s\u01b0u t\u1eadp.<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u01b0\u1edbc 1: X\u00e1c \u0111\u1ecbnh t\u1ed5ng c\u1ee7a t\u1eadp h\u1ee3p s\u1ed1. \u0110i\u1ec1u n\u00e0y th\u01b0\u1eddng \u0111\u01b0\u1ee3c cung c\u1ea5p tr\u1ef1c ti\u1ebfp trong v\u1ea5n \u0111\u1ec1 ho\u1eb7c th\u00f4ng qua c\u00e1c d\u1eef li\u1ec7u ho\u1eb7c t\u00ednh to\u00e1n kh\u00e1c.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u01b0\u1edbc 2: X\u00e1c \u0111\u1ecbnh s\u1ed1 l\u01b0\u1ee3ng \u0111i\u1ec1u kho\u1ea3n trong t\u1eadp h\u1ee3p. \u0110i\u1ec1u n\u00e0y c\u0169ng th\u01b0\u1eddng \u0111\u01b0\u1ee3c cung c\u1ea5p tr\u1ef1c ti\u1ebfp ho\u1eb7c c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c suy ra t\u1eeb th\u00f4ng tin trong v\u1ea5n \u0111\u1ec1.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u01b0\u1edbc 3: \u0110\u1ec3 t\u00ecm trung b\u00ecnh, ch\u00fang t\u00f4i s\u1ebd chia t\u1ed5ng (\u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh trong b\u01b0\u1edbc 1) cho s\u1ed1 l\u01b0\u1ee3ng \u0111i\u1ec1u kho\u1ea3n (\u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh trong b\u01b0\u1edbc 2).<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">V\u00ed d\u1ee5, m\u1ed9t l\u1edbp c\u00f3 5 sinh vi\u00ean. T\u1ed5ng s\u1ed1 \u0111i\u1ec3m to\u00e1n c\u1ee7a 5 h\u1ecdc sinh l\u00e0 245. H\u1ecfi trung b\u00ecnh \u0111i\u1ec3m to\u00e1n c\u1ee7a 5 h\u1ecdc sinh?<\/p>\n<p dir=\"ltr\">H\u01b0\u1edbng d\u1eabn:<\/p>\n<ol>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">T\u1ed5ng s\u1ed1 \u0111i\u1ec3m c\u1ee7a 5 sinh vi\u00ean l\u00e0: 245.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">S\u1ed1 l\u01b0\u1ee3ng h\u1ecdc sinh l\u00e0: 5.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">T\u00ednh trung b\u00ecnh: 245\/5 = 49<\/p>\n<\/li>\n<\/ol>\n<p dir=\"ltr\" style=\"padding-left: 40px\">V\u00ec v\u1eady, trung b\u00ecnh c\u1ee7a \u0111i\u1ec3m to\u00e1n c\u1ee7a 5 h\u1ecdc sinh l\u00e0 49.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/6-trung-binh-cong.png\" alt=\"M\u1eabu 1: T\u00ecm s\u1ed1 trung b\u00ecnh khi bi\u1ebft t\u1ed5ng. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_2_Tinh_trung_binh_cua_hai_so_nguyen\"><\/span>M\u1eabu 2: T\u00ednh trung b\u00ecnh c\u1ee7a hai s\u1ed1 nguy\u00ean<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Trung b\u00ecnh c\u1ee7a hai s\u1ed1 nguy\u00ean l\u00e0 m\u1ed9t h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc \u0111\u01a1n gi\u1ea3n trong ch\u01b0\u01a1ng tr\u00ecnh gi\u1ea3ng d\u1ea1y chung. C\u00e1c b\u01b0\u1edbc t\u00ednh to\u00e1n c\u1ee5 th\u1ec3 nh\u01b0 sau:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u01b0\u1edbc 1: X\u00e1c \u0111\u1ecbnh hai s\u1ed1 nguy\u00ean \u0111\u1ec3 t\u00ednh trung b\u00ecnh.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u01b0\u1edbc 2: T\u00ednh t\u1ed5ng c\u1ee7a hai s\u1ed1 nguy\u00ean \u0111\u00f3.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u01b0\u1edbc 3: Chia t\u1ed5ng s\u1ed1 t\u00ednh to\u00e1n cho 2 \u0111\u1ec3 c\u00f3 \u0111\u01b0\u1ee3c m\u1ee9c trung b\u00ecnh.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">V\u00ed d\u1ee5: T\u00ednh trung b\u00ecnh c\u1ee7a hai s\u1ed1 nguy\u00ean 45 v\u00e0 15.<\/p>\n<p dir=\"ltr\">H\u01b0\u1edbng d\u1eabn:<\/p>\n<ol>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Hai s\u1ed1 nguy\u00ean c\u1ea7n \u0111\u01b0\u1ee3c t\u00ednh trung b\u00ecnh 45 v\u00e0 15.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">T\u00ednh t\u1ed5ng c\u1ee7a hai s\u1ed1: 45 + 15 = 60.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">T\u00ednh trung b\u00ecnh: 60: 2 = 30.<\/p>\n<\/li>\n<\/ol>\n<p dir=\"ltr\" style=\"padding-left: 40px\">V\u00ec v\u1eady, trung b\u00ecnh c\u1ee7a hai s\u1ed1 nguy\u00ean 45 v\u00e0 15 l\u00e0 30.<\/p>\n<p dir=\"ltr\">\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_3_Tim_so_thuat_ngu_khi_ban_biet_tong_va_trung_binh\"><\/span>M\u1eabu 3: T\u00ecm s\u1ed1 thu\u1eadt ng\u1eef khi b\u1ea1n bi\u1ebft t\u1ed5ng v\u00e0 trung b\u00ecnh<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Trong m\u1ed9t chu\u1ed7i c\u00e1c s\u1ed1, n\u1ebfu ch\u00fang ta bi\u1ebft t\u1ed5ng v\u00e0 trung b\u00ecnh c\u1ee7a c\u00e1c \u0111i\u1ec1u kho\u1ea3n, ch\u00fang ta c\u00f3 th\u1ec3 t\u00ecm th\u1ea5y c\u00e1c thu\u1eadt ng\u1eef trong chu\u1ed7i \u0111\u00f3. \u0110i\u1ec1u n\u00e0y \u0111\u1eb7c bi\u1ec7t h\u1eefu \u00edch khi gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 th\u1ef1c t\u1ebf.<\/p>\n<p dir=\"ltr\">C\u00f4ng th\u1ee9c: S\u1ed1 thu\u1eadt ng\u1eef = T\u1ed5ng \u0111i\u1ec1u kho\u1ea3n\/Trung b\u00ecnh<\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5: bi\u1ebft r\u1eb1ng t\u1ed5ng c\u1ee7a m\u1ed9t chu\u1ed7i l\u00e0 360 v\u00e0 trung b\u00ecnh c\u1ee7a ch\u00fang l\u00e0 72. C\u00f3 bao nhi\u00eau \u0111i\u1ec1u kho\u1ea3n?<\/p>\n<p dir=\"ltr\">H\u01b0\u1edbng d\u1eabn:<\/p>\n<ol>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">\u0110\u1eb7t thu\u1eadt ng\u1eef c\u1ee7a chu\u1ed7i l\u00e0 n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">S\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c tr\u00ean, ch\u00fang ta c\u00f3: n = 360\/72 = 5.<\/p>\n<\/li>\n<\/ol>\n<p dir=\"ltr\" style=\"padding-left: 40px\">V\u00ec v\u1eady, tr\u00ecnh t\u1ef1 bao g\u1ed3m 5 \u0111i\u1ec1u kho\u1ea3n.<\/p>\n<p dir=\"ltr\">Lo\u1ea1i b\u00e0i vi\u1ebft n\u00e0y \u0111\u00f2i h\u1ecfi sinh vi\u00ean ph\u1ea3i hi\u1ec3u m\u1ed1i quan h\u1ec7 gi\u1eefa t\u1ed5ng v\u00e0 trung b\u00ecnh c\u1ee7a m\u1ed9t chu\u1ed7i s\u1ed1. T\u00ecm c\u00e1c thu\u1eadt ng\u1eef trong chu\u1ed7i t\u1eeb hai th\u00f4ng tin n\u00e0y l\u00e0 m\u1ed9t b\u01b0\u1edbc quan tr\u1ecdng \u0111\u1ec3 gi\u00fap gi\u1ea3i quy\u1ebft nhi\u1ec1u v\u1ea5n \u0111\u1ec1 to\u00e1n h\u1ecdc c\u01a1 b\u1ea3n.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/7-trung-binh-cong.png\" alt=\"M\u1eabu 3: T\u00ecm s\u1ed1 thu\u1eadt ng\u1eef khi bi\u1ebft t\u1ed5ng v\u00e0 trung b\u00ecnh. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_4_Tim_cac_thuat_ngu_khong_xac_dinh_khi_biet_trung_binh_cua_phan_con_lai\"><\/span>M\u1eabu 4: T\u00ecm c\u00e1c thu\u1eadt ng\u1eef kh\u00f4ng x\u00e1c \u0111\u1ecbnh khi bi\u1ebft trung b\u00ecnh c\u1ee7a ph\u1ea7n c\u00f2n l\u1ea1i<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">M\u1ed9t trong nh\u1eefng lo\u1ea1i to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1edbi m\u1ee9c trung b\u00ecnh c\u1ee7a s\u1ed1 li\u00ean quan \u0111\u1ebfn vi\u1ec7c t\u00ecm ki\u1ebfm c\u00e1c thu\u1eadt ng\u1eef ch\u01b0a bi\u1ebft trong chu\u1ed7i, d\u1ef1a tr\u00ean th\u00f4ng tin v\u1ec1 m\u1ee9c trung b\u00ecnh c\u1ee7a c\u00e1c thu\u1eadt ng\u1eef kh\u00e1c.<\/p>\n<p dir=\"ltr\">C\u00f4ng th\u1ee9c: Thu\u1eadt ng\u1eef kh\u00f4ng x\u00e1c \u0111\u1ecbnh = t\u1ed5ng c\u1ee7a t\u1ea5t c\u1ea3 c\u00e1c \u0111i\u1ec1u kho\u1ea3n &#8211; t\u1ed5ng c\u1ee7a c\u00e1c thu\u1eadt ng\u1eef \u0111\u00e3 bi\u1ebft<\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5: bi\u1ebft r\u1eb1ng trung b\u00ecnh c\u1ee7a 4 s\u1ed1 l\u00e0 20 v\u00e0 trung b\u00ecnh c\u1ee7a ba s\u1ed1 \u0111\u1ea7u ti\u00ean l\u00e0 10. H\u1ecfi s\u1ed1 th\u1ee9 t\u01b0?<\/p>\n<p dir=\"ltr\">H\u01b0\u1edbng d\u1eabn:<\/p>\n<ol>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">T\u00ednh t\u1ed5ng c\u1ee7a b\u1ed1n s\u1ed1: 4 x 20 = 80.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">T\u00ednh t\u1ed5ng c\u1ee7a ba s\u1ed1 \u0111\u1ea7u ti\u00ean: 3 x 10 = 30.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">\u0110\u1ec3 t\u00ecm s\u1ed1 th\u1ee9 t\u01b0, ch\u00fang t\u00f4i kh\u1ea5u tr\u1eeb t\u1ed5ng c\u1ee7a ba s\u1ed1 \u0111\u1ea7u ti\u00ean t\u1eeb t\u1ed5ng c\u1ee7a b\u1ed1n s\u1ed1: 80 &#8211; 30 = 50.<\/p>\n<\/li>\n<\/ol>\n<p dir=\"ltr\" style=\"padding-left: 40px\">V\u00ec v\u1eady, s\u1ed1 th\u1ee9 t\u01b0 l\u00e0 50.<\/p>\n<p dir=\"ltr\">Lo\u1ea1i to\u00e1n h\u1ecdc n\u00e0y gi\u00fap h\u1ecdc sinh th\u1ef1c h\u00e0nh c\u00e1c k\u1ef9 n\u0103ng suy lu\u1eadn v\u00e0 t\u00ednh to\u00e1n t\u1eeb th\u00f4ng tin \u0111\u01b0\u1ee3c cung c\u1ea5p, \u0111\u1ed3ng th\u1eddi c\u1ee7ng c\u1ed1 ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 m\u1ee9c trung b\u00ecnh. \u0110\u1ec3 gi\u1ea3i quy\u1ebft hi\u1ec7u qu\u1ea3 v\u1ea5n \u0111\u1ec1, sinh vi\u00ean c\u1ea7n \u0111\u1ea3m b\u1ea3o r\u1eb1ng h\u1ecd hi\u1ec3u c\u00e1ch t\u00ednh trung b\u00ecnh v\u00e0 bi\u1ebft c\u00e1ch \u00e1p d\u1ee5ng n\u00f3 v\u00e0o c\u00e1c t\u00ecnh hu\u1ed1ng c\u1ee5 th\u1ec3.<\/p>\n<table style=\"border-collapse: collapse;width: 100.01%;background-color: #fbeeb8\" border=\"1\">\n<tr>\n<td style=\"width: 98.5932%\">\n<p style=\"text-align: center\">\u0110\u1eebng b\u1ecf l\u1ee1 !!<\/p>\n<p style=\"text-align: center\">Ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n h\u1ecdc b\u1eb1ng ti\u1ebfng Anh, gi\u00fap ph\u00e1t tri\u1ec3n t\u01b0 duy theo c\u00e1ch to\u00e0n di\u1ec7n nh\u1ea5t.<\/p>\n<p style=\"text-align: center\">Nh\u1eadn t\u1ed1i \u0111a 40% \u01b0u \u0111\u00e3i ngay t\u1ea1i \u0111\u00e2y!<img decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/taimienphiMM.png\" width=\"185\"><\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_5_Tinh_trung_binh_cua_chuoi_so_nguyen\"><\/span>M\u1eabu 5: T\u00ednh trung b\u00ecnh c\u1ee7a chu\u1ed7i s\u1ed1 nguy\u00ean<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Trung b\u00ecnh c\u1ee7a m\u1ed9t s\u1ed1 con s\u1ed1 l\u00e0 m\u1ed9t h\u00ecnh th\u1ee9c t\u1eadp th\u1ec3 d\u1ee5c c\u01a1 b\u1ea3n v\u00e0 quan tr\u1ecdng, gi\u00fap sinh vi\u00ean n\u1eafm b\u1eaft \u0111\u01b0\u1ee3c kh\u00e1i ni\u1ec7m v\u00e0 k\u1ef9 thu\u1eadt c\u01a1 b\u1ea3n trong vi\u1ec7c t\u00ednh to\u00e1n trung b\u00ecnh. L\u01b0u \u00fd r\u1eb1ng m\u1ed9t chu\u1ed7i s\u1ed1 nguy\u00ean kh\u00f4ng nh\u1ea5t thi\u1ebft ph\u1ea3i li\u00ean ti\u1ebfp.<\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5: T\u00ednh trung b\u00ecnh c\u1ee7a chu\u1ed7i s\u1ed1 nguy\u00ean: 15, 25, 35, 45, 55.<\/p>\n<p dir=\"ltr\">H\u01b0\u1edbng d\u1eabn:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">T\u00ednh t\u1ed5ng c\u1ee7a chu\u1ed7i: 15 + 25 + 35 + 45 + 55 = 175.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">T\u1ed5ng s\u1ed1 ph\u00e2n chia n\u00e0y theo s\u1ed1 thu\u1eadt ng\u1eef trong chu\u1ed7i (trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y l\u00e0 5): 175: 5 = 35.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\" style=\"padding-left: 40px\">V\u00ec v\u1eady, trung b\u00ecnh c\u1ee7a chu\u1ed7i tr\u00ean l\u00e0 35.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/8-trung-binh-cong.png\" alt=\"M\u1eabu 5: T\u00ednh trung b\u00ecnh c\u1ee7a m\u1ed9t s\u1ed1 nguy\u00ean. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_6_Tinh_toan_va_so_sanh_voi_trung_binh\"><\/span>M\u1eabu 6: T\u00ednh to\u00e1n v\u00e0 so s\u00e1nh v\u1edbi trung b\u00ecnh<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Trong to\u00e1n h\u1ecdc, s\u1ef1 so s\u00e1nh gi\u1eefa m\u1ed9t gi\u00e1 tr\u1ecb nh\u1ea5t \u0111\u1ecbnh v\u00e0 m\u1ee9c trung b\u00ecnh c\u1ee7a m\u1ed9t b\u1ed9 gi\u00e1 tr\u1ecb kh\u00e1c l\u00e0 m\u1ed9t v\u1ea5n \u0111\u1ec1 th\u00fa v\u1ecb. Nh\u1eefng v\u1ea5n \u0111\u1ec1 n\u00e0y gi\u00fap sinh vi\u00ean hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 kh\u00e1i ni\u1ec7m &#8220;trung b\u00ecnh&#8221; v\u00e0 c\u00e1ch s\u1eed d\u1ee5ng \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 v\u00e0 so s\u00e1nh.<\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5 1: Nam c\u00f3 50 qu\u1ea3 b\u00f3ng, chai c\u00f3 20 qu\u1ea3 b\u00f3ng v\u00e0 Linh c\u00f3 s\u1ed1 l\u01b0\u1ee3ng b\u00f3ng b\u1eb1ng v\u1edbi m\u1ee9c trung b\u00ecnh c\u1ee7a s\u1ed1 l\u01b0\u1ee3ng b\u00f3ng m\u00e0 nam gi\u1edbi v\u00e0 chai c\u00f3. T\u00ednh s\u1ed1 l\u01b0\u1ee3ng b\u00f3ng c\u1ee7a Linh.<\/p>\n<p dir=\"ltr\">H\u01b0\u1edbng d\u1eabn:<\/p>\n<p dir=\"ltr\">\u0110\u1ec3 t\u00ednh to\u00e1n trung b\u00ecnh c\u1ee7a s\u1ed1 l\u01b0\u1ee3ng b\u00f3ng c\u1ee7a nam v\u00e0 BINH, ch\u00fang t\u00f4i th\u00eam t\u1ed5ng s\u1ed1 qu\u1ea3 b\u00f3ng c\u1ee7a c\u1ea3 hai v\u00e0 chia cho 2: <\/p>\n<p dir=\"ltr\">Trung b\u00ecnh c\u1ed9ng = (50 + 20)\/2 = 35.<\/p>\n<p dir=\"ltr\">V\u00ec v\u1eady, Linh c\u00f3 35 qu\u1ea3 b\u00f3ng.<\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5 2:<\/p>\n<p dir=\"ltr\">N\u1ebfu Thu c\u00f3 60 vi\u00ean k\u1eb9o v\u00e0 HA c\u00f3 20 vi\u00ean k\u1eb9o, y\u00eau c\u1ea7u s\u1ed1 l\u01b0\u1ee3ng k\u1eb9o c\u1ee7a Phong n\u1ebfu n\u00f3 th\u1ea5p h\u01a1n m\u1ee9c trung b\u00ecnh c\u1ee7a k\u1eb9o v\u00e0 k\u1eb9o c\u1ee7a HA.<\/p>\n<p dir=\"ltr\">H\u01b0\u1edbng d\u1eabn:<\/p>\n<p dir=\"ltr\">\u0110\u1ea7u ti\u00ean, ch\u00fang t\u00f4i t\u00ednh trung b\u00ecnh s\u1ed1 l\u01b0\u1ee3ng k\u1eb9o c\u1ee7a Thu v\u00e0 HA:<\/p>\n<p dir=\"ltr\">Trung b\u00ecnh c\u1ed9ng = (60 + 20)\/2 = 40.<\/p>\n<p dir=\"ltr\">Phong c\u00f3 \u00edt k\u1eb9o h\u01a1n trung b\u00ecnh 10 vi\u00ean, v\u00ec v\u1eady: 40 &#8211; 10 = 30.<\/p>\n<p dir=\"ltr\">V\u00ec v\u1eady, Phong c\u00f3 30 vi\u00ean k\u1eb9o.<\/p>\n<p dir=\"ltr\">Xem th\u00eam:<\/p>\n<ol>\n<li dir=\"ltr\">Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math &#8211; \u1ee8ng d\u1ee5ng to\u00e1n h\u1ecdc b\u1eb1ng ti\u1ebfng Anh s\u1ed1 1 cho tr\u1ebb m\u1eabu gi\u00e1o &amp; tr\u01b0\u1eddng ti\u1ec3u h\u1ecdc<\/li>\n<li dir=\"ltr\">B\u1ed5 sung l\u00e0 g\u00ec? T\u00f3m t\u1eaft c\u00e1c ki\u1ebfn \u200b\u200bth\u1ee9c c\u01a1 b\u1ea3n nh\u1ea5t ngo\u00e0i ra<\/li>\n<\/ol>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Giai_cac_bai_tap_trung_binh_cong_voi_trang_697071_sach_giao_khoa_toan_hoc_lop_4\"><\/span>Gi\u1ea3i c\u00e1c b\u00e0i t\u1eadp trung b\u00ecnh c\u1ed9ng v\u1edbi trang 69,70,71, s\u00e1ch gi\u00e1o khoa to\u00e1n h\u1ecdc l\u1edbp 4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Bai_1_%E2%80%93_Trang_69_%E2%80%93_Toan_hoc_lop_4_%E2%80%93_Tap_1_%E2%80%93_Canh_dieu_SGK\"><\/span>B\u00e0i 1 &#8211; Trang 69 &#8211; To\u00e1n h\u1ecdc l\u1edbp 4 &#8211; T\u1eadp 1 &#8211; C\u00e1nh di\u1ec1u SGK<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">\u0110\u1ec1 t\u00e0i:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/9-trung-binh-cong.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi:<\/p>\n<p dir=\"ltr\">M\u1ed9t. Trung b\u00ecnh 36 v\u00e0 38 l\u00e0: (36 + 38): 2 = 37.<\/p>\n<p dir=\"ltr\">b. Trung b\u00ecnh 4, 3 v\u00e0 8 l\u00e0: (4 + 3 + 8): 3 = 5.<\/p>\n<p dir=\"ltr\">c. Trung b\u00ecnh 12, 23, 5 v\u00e0 44 l\u00e0: 3 + 5 + 44): 4 = 21.<\/p>\n<p dir=\"ltr\">d. Trung b\u00ecnh 35, 40, 45, 50 v\u00e0 55 l\u00e0: (35 + 40 + 45 + 50 + 55): 5 = 45.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Bai_2_%E2%80%93_Trang_70_%E2%80%93_Toan_hoc_lop_4_%E2%80%93_Tap_1_%E2%80%93_SGK_dieu\"><\/span>B\u00e0i 2 &#8211; Trang 70 &#8211; To\u00e1n h\u1ecdc l\u1edbp 4 &#8211; T\u1eadp 1 &#8211; SGK di\u1ec1u<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">\u0110\u1ec1 t\u00e0i:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/10-trung-binh-cong.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/11-trung-binh-cong.png\" alt=\"\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Bai_3_%E2%80%93_Trang_71_%E2%80%93_Toan_hoc_lop_4_%E2%80%93_Tap_1_%E2%80%93_Canh_dieu_SGK\"><\/span>B\u00e0i 3 &#8211; Trang 71 &#8211; To\u00e1n h\u1ecdc l\u1edbp 4 &#8211; T\u1eadp 1 &#8211; C\u00e1nh di\u1ec1u SGK<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">\u0110\u1ec1 t\u00e0i:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/12-trung-binh-cong.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/13-trung-binh-cong.png\" alt=\"\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Bai_hoc_4_%E2%80%93_Trang_71_%E2%80%93_Toan_hoc_lop_4_%E2%80%93_Tap_1_%E2%80%93_SGK_dieu\"><\/span>B\u00e0i h\u1ecdc 4 &#8211; Trang 71 &#8211; To\u00e1n h\u1ecdc l\u1edbp 4 &#8211; T\u1eadp 1 &#8211; SGK di\u1ec1u<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">\u0110\u1ec1 t\u00e0i:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/14-trung-binh-cong.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi:<\/p>\n<p dir=\"ltr\">C\u00e1c \u00fd ki\u1ebfn \u200b\u200bA, B, C l\u00e0 sai, ch\u1ec9 c\u00f3 b\u00ecnh lu\u1eadn D l\u00e0 ch\u00ednh x\u00e1c.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Bai_hoc_5_%E2%80%93_Trang_71_%E2%80%93_Toan_hoc_lop_4_%E2%80%93_Tap_1_%E2%80%93_SGK_dieu\"><\/span>B\u00e0i h\u1ecdc 5 &#8211; Trang 71 &#8211; To\u00e1n h\u1ecdc l\u1edbp 4 &#8211; T\u1eadp 1 &#8211; SGK di\u1ec1u<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">\u0110\u1ec1 t\u00e0i:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/15-trung-binh-cong.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi:<\/p>\n<p dir=\"ltr\">M\u1ed9t. T\u00f4i \u0111\u00e3 ghi l\u1ea1i th\u1eddi gian t\u1eeb nh\u00e0 \u0111\u1ebfn tr\u01b0\u1eddng trong 1 tu\u1ea7n.<\/p>\n<p dir=\"ltr\">Sau 1 tu\u1ea7n, t\u00f4i \u0111\u00e3 l\u1ea5y k\u1ebft qu\u1ea3 \u0111\u00e3 \u0111\u01b0\u1ee3c theo d\u00f5i \u0111\u1ec3 t\u00ednh th\u1eddi gian trung b\u00ecnh t\u00f4i \u0111\u1ebfn tr\u01b0\u1eddng m\u1ed7i ng\u00e0y<\/p>\n<p dir=\"ltr\">b. M\u1ed9t t\u00ecnh hu\u1ed1ng trong cu\u1ed9c s\u1ed1ng li\u00ean quan \u0111\u1ebfn s\u1ed1 trung b\u00ecnh l\u00e0:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">T\u00f3m t\u1eaft trung b\u00ecnh c\u1ee7a l\u1edbp hai c\u1ee7a t\u00f4i l\u00e0 9.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Th\u1eddi gian trung b\u00ecnh m\u1ed7i ng\u00e0y t\u00f4i h\u1ecdc ti\u1ebfng Anh l\u00e0 45 ph\u00fat.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">\u0110\u1ec3 l\u00e0m ch\u1ee7 c\u00e1c lo\u1ea1i v\u1ea5n \u0111\u1ec1 tr\u00ean, sinh vi\u00ean c\u1ea7n th\u1ef1c hi\u1ec7n nhi\u1ec1u b\u00e0i t\u1eadp v\u00e0 bi\u1ebft c\u00e1ch \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n trong c\u00e1c t\u00ecnh hu\u1ed1ng kh\u00e1c nhau. Hy v\u1ecdng, v\u1edbi ki\u1ebfn \u200b\u200bth\u1ee9c trung b\u00ecnh v\u1ec1 kh\u1ec9 \u0111\u01b0\u1ee3c chia s\u1ebb trong b\u00e0i vi\u1ebft n\u00e0y s\u1ebd gi\u00fap sinh vi\u00ean t\u1ef1 tin h\u01a1n trong vi\u1ec7c ch\u1eb7n h\u00e0nh tr\u00ecnh chinh ph\u1ee5c to\u00e1n h\u1ecdc c\u1ee7a h\u1ecd. T\u00f4i ch\u00fac t\u1ea5t c\u1ea3 c\u00e1c b\u1ea1n h\u1ecdc t\u1eadp v\u00e0 l\u00e0m b\u00e0i ki\u1ec3m tra t\u1ed1t!<\/p>\n<p>Ngu\u1ed3n: <a href=\"https:\/\/www.ckconitsha.com\/vn\/\">https:\/\/www.ckconitsha.com\/vn\/<\/a> T\u00e1c gi\u1ea3: <a href=\"https:\/\/www.ckconitsha.com\/vn\/author\/nguyenlandung\">Nguy\u1ec5n L\u00e2n d\u0169ng<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>C\u1ed9ng s\u1ea3n trung b\u00ecnh &#8211; M\u1ed9t kh\u00e1i ni\u1ec7m quen thu\u1ed9c nh\u01b0ng v\u1eabn c\u1ea7n \u0111\u01b0\u1ee3c hi\u1ec3u \u0111\u00fang v\u00e0 \u00e1p d\u1ee5ng ch\u00ednh x\u00e1c. V\u1eady m\u1ee9c trung b\u00ecnh l\u00e0 bao nhi\u00eau? L\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 t\u00ednh to\u00e1n n\u00f3 m\u1ed9t c\u00e1ch ch\u00ednh x\u00e1c? Nh\u1eefng lo\u1ea1i to\u00e1n h\u1ecdc c\u00f4ng c\u1ed9ng theo ch\u01b0\u01a1ng tr\u00ecnh gi\u00e1o d\u1ee5c ph\u1ed5 th\u00f4ng? H\u00e3y t\u00ecm hi\u1ec3u&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[100],"tags":[],"class_list":["post-14193","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14193","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/comments?post=14193"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14193\/revisions"}],"predecessor-version":[{"id":17093,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14193\/revisions\/17093"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=14193"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=14193"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=14193"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}