{"id":25583,"date":"2023-12-07T01:38:32","date_gmt":"2023-12-07T01:38:32","guid":{"rendered":"https:\/\/masterskills.org\/blog\/trung-vi-median-la-gi-vi-du-ve-trung-vi.html"},"modified":"2023-12-22T10:38:37","modified_gmt":"2023-12-22T03:38:37","slug":"trung-vi-median-la-gi-vi-du-ve-trung-vi","status":"publish","type":"post","link":"https:\/\/masterskills.org\/blog\/trung-vi-median-la-gi-vi-du-ve-trung-vi.html","title":{"rendered":"Trung v\u1ecb (Median) l\u00e0 g\u00ec? V\u00ed d\u1ee5 v\u1ec1 trung v\u1ecb"},"content":{"rendered":"<div class=\"vnbcbc-body vceditor-content wi-active\" data-role=\"content\">\n<div class=\"VCSortableInPreviewMode\" type=\"Photo\" style=\"\">\n<div><\/div>\n<div class=\"PhotoCMS_Caption\">\n<p><i>Hi\u0300nh minh ho\u0323a. Ngu\u00f4\u0300n: Albert.io<\/i><\/p>\n<\/div>\n<\/div>\n<h2><font style=\"line-height: 22px; font-size: 22px;\" color=\"#3d85c6\">Trung v\u1ecb<\/font><\/h2>\n<p><b>Kha\u0301i ni\u00ea\u0323m<\/b><\/p>\n<p><b>Trung v\u1ecb<\/b> trong ti\u00ea\u0301ng Anh la\u0300 <b>Median<\/b>.<\/p>\n<p><b>Trung v\u1ecb <\/b>l\u00e0 s\u1ed1 n\u1eb1m gi\u1eefa trong m\u1ed9t t\u1eadp d\u1eef li\u1ec7u c\u00f3 c\u00e1c s\u1ed1 \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp. \u0110\u1ec3 x\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb trung v\u1ecb trong m\u1ed9t chu\u1ed7i s\u1ed1, tr\u01b0\u1edbc ti\u00ean c\u00e1c s\u1ed1 ph\u1ea3i \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp theo th\u1ee9 t\u1ef1 gi\u00e1 tr\u1ecb t\u1eeb th\u1ea5p nh\u1ea5t \u0111\u1ebfn cao nh\u1ea5t ho\u1eb7c cao nh\u1ea5t \u0111\u1ebfn th\u1ea5p nh\u1ea5t. Trung v\u1ecb c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb trung b\u00ecnh g\u1ea7n \u0111\u00fang ho\u1eb7c gi\u00e1 tr\u1ecb trung b\u00ecnh, tuy nhi\u00ean kh\u00f4ng \u0111\u01b0\u1ee3c nh\u1ea7m l\u1eabn trung v\u1ecb v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh th\u1ef1c t\u1ebf.<\/p>\n<p>N\u1ebfu t\u1eadp d\u1eef li\u1ec7u c\u00f3 s\u1ed1 l\u01b0\u1ee3ng \u0111i\u1ec3m d\u1eef li\u1ec7u l\u00e0 l\u1ebb, trung v\u1ecb l\u00e0 s\u1ed1 n\u1eb1m \u1edf gi\u1eefa c\u00f3 c\u00f9ng m\u1ed9t s\u1ed1 l\u01b0\u1ee3ng \u0111i\u1ec3m d\u1eef li\u1ec7u \u1edf b\u00ean d\u01b0\u1edbi v\u00e0 b\u00ean tr\u00ean.<\/p>\n<p>N\u1ebfu t\u1eadp d\u1eef li\u1ec7u c\u00f3 s\u1ed1 l\u01b0\u1ee3ng \u0111i\u1ec3m d\u1eef li\u1ec7u l\u00e0 ch\u1eb5n, \u0111\u1ec3 t\u00ecm gi\u00e1 tr\u1ecb trung v\u1ecb c\u1ea7n x\u00e1c \u0111\u1ecbnh c\u1eb7p \u0111i\u1ec3m d\u1eef li\u1ec7u \u1edf gi\u1eefa sau \u0111\u00f3 c\u1ed9ng 2 s\u1ed1 n\u00e0y l\u1ea1i v\u00e0 chia cho hai.<\/p>\n<p><b>Trung v\u1ecb<\/b> \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng thay cho gi\u00e1 tr\u1ecb trung b\u00ecnh khi c\u00f3 c\u00e1c \u0111i\u1ec3m ngo\u1ea1i lai trong chu\u1ed7i d\u1eef li\u1ec7u, c\u00e1c \u0111i\u1ec3m ngo\u1ea1i lai c\u00f3 th\u1ec3 l\u00e0m l\u1ec7ch gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ee7a c\u00e1c gi\u00e1 tr\u1ecb. Trung v\u1ecb c\u1ee7a m\u1ed9t chu\u1ed7i \u00edt b\u1ecb \u1ea3nh h\u01b0\u1edfng b\u1edfi c\u00e1c \u0111i\u1ec3m ngo\u1ea1i lai h\u01a1n gi\u00e1 tr\u1ecb trung b\u00ecnh.<\/p>\n<h3><font style=\"line-height: 22px; font-size: 22px;\" color=\"#3d85c6\">V\u00ed d\u1ee5 v\u1ec1 trung v\u1ecb<\/font><\/h3>\n<p>\u0110\u1ec3 t\u00ecm gi\u00e1 tr\u1ecb <b>trung v\u1ecb<\/b>\u00a0trong m\u1ed9t danh s\u00e1ch c\u00f3 s\u1ed1 l\u01b0\u1ee3ng c\u00e1c s\u1ed1 li\u1ec7u l\u00e0 l\u1ebb, s\u1ed1 n\u1eb1m \u1edf gi\u1eefa c\u00f3 s\u1ed1 l\u01b0\u1ee3ng \u0111i\u1ec3m d\u1eef li\u1ec7u b\u1eb1ng nhau \u1edf hai b\u00ean l\u00e0 trung v\u1ecb. \u0110\u1ec3 t\u00ecm trung v\u1ecb, \u0111\u1ea7u ti\u00ean s\u1eafp x\u1ebfp c\u00e1c s\u1ed1 theo th\u1ee9 t\u1ef1, th\u01b0\u1eddng l\u00e0 t\u1eeb th\u1ea5p nh\u1ea5t \u0111\u1ebfn cao nh\u1ea5t.<\/p>\n<p>V\u00ed d\u1ee5: trong t\u1eadp d\u1eef li\u1ec7u {3, 13, 2, 34, 11, 26, 47}, th\u1ee9 t\u1ef1 \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp l\u1ea1i th\u00e0nh {2, 3, 11, 13, 26, 34, 47}. Trung v\u1ecb l\u00e0 s\u1ed1 \u1edf gi\u1eefa {2, 3, 11, 13, 26, 34, 47}, trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y l\u00e0 13 v\u00ec n\u00f3 c\u00f3 ba s\u1ed1 \u1edf hai b\u00ean.<\/p>\n<p>\u0110\u1ec3 t\u00ecm gi\u00e1 tr\u1ecb <b>trung v\u1ecb <\/b>trong m\u1ed9t danh s\u00e1ch c\u00f3 s\u1ed1 l\u01b0\u1ee3ng c\u00e1c s\u1ed1 li\u1ec7u l\u00e0 ch\u1eb5n, ng\u01b0\u1eddi ta ph\u1ea3i x\u00e1c \u0111\u1ecbnh c\u1eb7p \u1edf ch\u00ednh gi\u1eefa t\u1eadp d\u1eef li\u1ec7u, c\u1ed9ng l\u1ea1i v\u00e0 chia cho hai. T\u01b0\u01a1ng t\u1ef1, s\u1eafp x\u1ebfp c\u00e1c s\u1ed1 trong t\u1eadp theo th\u1ee9 t\u1ef1 t\u1eeb th\u1ea5p nh\u1ea5t \u0111\u1ebfn cao nh\u1ea5t.<\/p>\n<p>V\u00ed d\u1ee5: trong t\u1eadp d\u1eef li\u1ec7u {3, 13, 2, 34, 11, 17, 27, 47}, th\u1ee9 t\u1ef1 \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp l\u1ea1i th\u00e0nh {2, 3, 11, 13, 17, 27, 34, 47}. Trung v\u1ecb l\u00e0 trung b\u00ecnh c\u1ee7a hai s\u1ed1 \u1edf gi\u1eefa {2, 3, 11, 13, 17, 26 34, 47}, trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y trung v\u1ecb l\u00e0 m\u01b0\u1eddi l\u0103m {(13 + 17) 2 = 15}.<\/p>\n<h3><font style=\"line-height: 22px; font-size: 22px;\"><font color=\"#3d85c6\">Ca\u0301c y\u0301  chi\u0301nh<\/font><\/font><\/h3>\n<p><b>&#8211; Trung v\u1ecb <\/b>l\u00e0 s\u1ed1 n\u1eb1m \u1edf gi\u1eefa trong m\u1ed9t danh s\u00e1ch c\u00e1c s\u1ed1 \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp t\u0103ng d\u1ea7n ho\u1eb7c gi\u1ea3m d\u1ea7n v\u00e0 c\u00f3 th\u1ec3 m\u00f4 t\u1ea3 nhi\u1ec1u h\u01a1n v\u1ec1 t\u1eadp d\u1eef li\u1ec7u so v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh.<\/p>\n<p>&#8211; Trung v\u1ecb \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng thay cho gi\u00e1 tr\u1ecb trung b\u00ecnh khi c\u00f3 c\u00e1c \u0111i\u1ec3m ngo\u1ea1i lai trong chu\u1ed7i d\u1eef li\u1ec7u c\u00f3 th\u1ec3 l\u00e0m l\u1ec7ch trung b\u00ecnh c\u1ee7a c\u00e1c gi\u00e1 tr\u1ecb.<\/p>\n<p>&#8211; N\u1ebfu t\u1eadp d\u1eef li\u1ec7u c\u00f3 s\u1ed1 l\u01b0\u1ee3ng \u0111i\u1ec3m d\u1eef li\u1ec7u l\u00e0 s\u1ed1 l\u1ebb, gi\u00e1 tr\u1ecb trung v\u1ecb l\u00e0 s\u1ed1 n\u1eb1m \u1edf gi\u1eefa c\u00f3 c\u00f9ng m\u1ed9t s\u1ed1 l\u01b0\u1ee3ng \u0111i\u1ec3m d\u1eef li\u1ec7u b\u00ean d\u01b0\u1edbi v\u00e0 b\u00ean tr\u00ean.<\/p>\n<p>&#8211; N\u1ebfu t\u1eadp d\u1eef li\u1ec7u c\u00f3 s\u1ed1 l\u01b0\u1ee3ng \u0111i\u1ec3m d\u1eef li\u1ec7u l\u00e0 s\u1ed1 ch\u1eb5n, c\u1eb7p \u0111i\u1ec3m d\u1eef li\u1ec7u \u1edf gi\u1eefa \u0111\u01b0\u1ee3c c\u1ed9ng l\u1ea1i v\u00e0 chia hai \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb trung b\u00ecnh.<\/p>\n<p>(Theo <i>Investopedia<\/i>)<\/p>\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"<div class=\"vnbcbc-sapo\" data-role=\"sapo\">\n                            Trung v\u1ecb (ti\u00ea\u0301ng Anh: Median) l\u00e0 s\u1ed1 \u1edf gi\u1eefa trong m\u1ed9t danh s\u00e1ch c\u00e1c s\u1ed1 \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp t\u0103ng d\u1ea7n ho\u1eb7c gi\u1ea3m d\u1ea7n v\u00e0 c\u00f3 th\u1ec3 m\u00f4 t\u1ea3 nhi\u1ec1u h\u01a1n v\u1ec1 t\u1eadp d\u1eef li\u1ec7u so v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh.\n                        <\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[414],"tags":[],"_links":{"self":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts\/25583"}],"collection":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/comments?post=25583"}],"version-history":[{"count":0,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts\/25583\/revisions"}],"wp:attachment":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/media?parent=25583"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/categories?post=25583"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/tags?post=25583"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}