{"id":1390,"date":"2021-06-11T10:43:10","date_gmt":"2021-06-11T10:43:10","guid":{"rendered":"https:\/\/mb668s.com\/cam-nang-7mb66-xoc-dia\/?p=1390"},"modified":"2026-04-10T09:00:31","modified_gmt":"2026-04-10T02:00:31","slug":"trung-vi-la-gi-va-co-gi-khac-so-voi-gia-tri-trung-binh","status":"publish","type":"post","link":"https:\/\/mb668s.com\/cam-nang-7mb66-xoc-dia\/kien-thuc-kinh-te\/trung-vi-la-gi-va-co-gi-khac-so-voi-gia-tri-trung-binh","title":{"rendered":"Trung v\u1ecb l\u00e0 g\u00ec v\u00e0 c\u00f3 g\u00ec kh\u00e1c so v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh"},"content":{"rendered":"\n

Trung v\u1ecb l\u00e0 g\u00ec? Trung v\u1ecb l\u00e0 s\u1ed1 \u1edf gi\u1eefa c\u1ee7a t\u1eadp d\u1eef li\u1ec7u. Trung v\u1ecb \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng thay cho gi\u00e1 tr\u1ecb trung b\u00ecnh trong khi c\u00f3 c\u00e1c y\u1ebfu t\u1ed1 ngo\u1ea1i lai xu\u1ea5t hi\u1ec7n c\u00f3 th\u1ec3 l\u00e0m sai l\u1ec7ch gi\u00e1 tr\u1ecb trung b\u00ecnh.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

C\u00f4ng th\u1ee9c t\u00ednh trung v\u1ecb<\/strong><\/h2>\n\n\n\n

C\u00f4ng th\u1ee9c trung b\u00ecnh l\u00e0 {(n + 1) \u00f7 2} s\u1ed1 th\u1ee9 t\u1ef1, trong \u0111\u00f3 \u201cn\u201d l\u00e0 s\u1ed1 m\u1ee5c trong t\u1eadp h\u1ee3p.<\/p>\n\n\n\n

\u0110\u1ec3 t\u00ecm s\u1ed1 trung v\u1ecb, tr\u01b0\u1edbc ti\u00ean h\u00e3y s\u1eafp x\u1ebfp th\u1ee9 t\u1ef1 c\u00e1c s\u1ed1 t\u1eeb nh\u1ecf nh\u1ea5t \u0111\u1ebfn l\u1edbn nh\u1ea5t. Sau \u0111\u00f3 t\u00ecm s\u1ed1 \u1edf gi\u1eefa. V\u00ed d\u1ee5: gi\u00e1 tr\u1ecb gi\u1eefa cho b\u1ed9 s\u1ed1 1, 2, 3, 5, 6, 7, 9 l\u00e0 5, v\u00ec 5 \u1edf ngay gi\u1eefa.<\/p>\n\n\n\n

B\u1ea1n nh\u1eadn \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 t\u01b0\u01a1ng t\u1ef1 v\u1edbi c\u00f4ng th\u1ee9c. C\u00f3 7 s\u1ed1 trong t\u1eadp h\u1ee3p n\u00ean n = 7:<\/p>\n\n\n\n

{(7 + 1) \u00f7 2} s\u1ed1 th\u1ee9 t\u1ef1 = 8\u00f72 s\u1ed1 th\u1ee9 t\u1ef1 = 4 (s\u1ed1 th\u1ee9 t\u1ef1)<\/p>\n\n\n\n

S\u1ed1 th\u1ee9 4 trong d\u00e3y 1, 2, 3, 5, 6, 7, 9 l\u00e0 5.<\/p>\n\n\n\n

C\u00e1ch t\u00ecm trung v\u1ecb c\u1ee7a m\u1ed9t t\u1eadp h\u1ee3p s\u1ed1 l\u1ebb<\/strong><\/h2>\n\n\n\n

V\u00ed du, h\u00e3y t\u00ecm gi\u00e1 tr\u1ecb trung b\u00ecnh cho t\u1eadp h\u1ee3p g\u1ed3m 7 s\u1ed1 sau: 102, 56, 34, 99, 89, 101, 10.<\/p>\n\n\n\n

Hi\u1ec3u th\u1ed1ng k\u00ea m\u00f4 t\u1ea3 l\u00e0 l\u1ee3i th\u1ebf cho \u1ee9ng vi\u00ean \u1ee9ng tuy\u1ec3n vi\u1ec7c l\u00e0m k\u1ebf to\u00e1n \u2013 ki\u1ec3m to\u00e1n<\/a> v\u00e0 c\u00e1c v\u1ecb tr\u00ed ph\u00e2n t\u00edch d\u1eef li\u1ec7u t\u00e0i ch\u00ednh.<\/p>\n\n\n

B\u01b0\u1edbc 1: S\u1eafp x\u1ebfp d\u1eef li\u1ec7u c\u1ee7a b\u1ea1n t\u1eeb s\u1ed1 nh\u1ecf nh\u1ea5t \u0111\u1ebfn s\u1ed1 cao nh\u1ea5t. \u0110\u1ed1i v\u1edbi t\u1eadp d\u1eef li\u1ec7u m\u1eabu n\u00e0y, th\u1ee9 t\u1ef1 l\u00e0: 10, 34, 56, 89, 99, 101, 102.<\/p>\n

B\u01b0\u1edbc 2: T\u00ecm s\u1ed1 \u1edf gi\u1eefa (n\u01a1i c\u00f3 s\u1ed1 \u0111i\u1ec3m d\u1eef li\u1ec7u nh\u1ecf v\u00e0 l\u1edbn b\u1eb1ng nhau): Trung v\u1ecb l\u00e0 89.<\/p>\n

M\u1eb9o: N\u1ebfu b\u1ea1n c\u00f3 m\u1ed9t t\u1eadp d\u1eef li\u1ec7u l\u1edbn, h\u00e3y chia s\u1ed1 trong t\u1eadp \u0111\u00f3 cho 2. \u0110i\u1ec1u \u0111\u00f3 cho b\u1ea1n bi\u1ebft c\u00f3 bao nhi\u00eau s\u1ed1 nh\u1ecf v\u00e0 bao nhi\u00eau s\u1ed1 l\u1edbn (so v\u1edbi trung v\u1ecb). V\u00ed d\u1ee5: 101\/2 = 55,5. B\u1ecf qua s\u1ed1 th\u1eadp ph\u00e2n; 55 s\u1ed1 l\u1edbn v\u00e0 55 s\u1ed1 nh\u1ecf h\u01a1n trung v\u1ecb.<\/p>\n

T\u00ecm trung v\u1ecb c\u1ee7a m\u1ed9t t\u1eadp h\u1ee3p s\u1ed1 ch\u1eb5n<\/strong><\/h2>\n

V\u00ed d\u1ee5, h\u00e3y t\u00ecm trung v\u1ecb cho t\u1eadp d\u1eef li\u1ec7u g\u1ed3m 8 s\u1ed1 sau: 102, 56, 34, 99, 89, 101, 10, 54.<\/p>\n\n\n

Trung v\u1ecb l\u00e0 m\u1ed9t trong c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng c\u1ed1t l\u00f5i c\u1ee7a th\u1ed1ng k\u00ea m\u00f4 t\u1ea3<\/a>, \u0111\u01b0\u1ee3c d\u00f9ng song song v\u1edbi trung b\u00ecnh v\u00e0 mode khi m\u00f4 t\u1ea3 ph\u00e2n ph\u1ed1i d\u1eef li\u1ec7u.<\/p>\n\n\n

B\u01b0\u1edbc 1: \u0110\u1eb7t d\u1eef li\u1ec7u theo th\u1ee9 t\u1ef1 t\u0103ng d\u1ea7n (nh\u1ecf nh\u1ea5t \u0111\u1ebfn cao nh\u1ea5t): 10, 34, 54, 56, 89, 99, 101, 102.<\/p>\n

B\u01b0\u1edbc 2: T\u00ecm HAI s\u1ed1 \u1edf gi\u1eefa: 56 v\u00e0 89<\/p>\n

B\u01b0\u1edbc 3: C\u1ed9ng hai s\u1ed1 \u1edf gi\u1eefa r\u1ed3i chia hai \u0111\u1ec3 \u0111\u01b0\u1ee3c trung b\u00ecnh c\u1ed9ng: 56 + 89 = 145\/2 = 72,5.<\/p>\n

Trung v\u1ecb l\u00e0 72,5.<\/p>\n

M\u1eb9o: \u0110\u1ed1i v\u1edbi t\u1eadp d\u1eef li\u1ec7u l\u1edbn, h\u00e3y chia s\u1ed1 m\u1ee5c cho 2, sau \u0111\u00f3 tr\u1eeb 1 \u0111\u1ec3 t\u00ecm s\u1ed1 \u1edf tr\u00ean v\u00e0 s\u1ed1 \u1edf d\u01b0\u1edbi.<\/p>\n

V\u00ed d\u1ee5, 100\/2 = 50. 50 – 1 = 49. Hai s\u1ed1 \u1edf gi\u1eefa s\u1ebd c\u00f3 49 m\u1ee5c \u1edf tr\u00ean v\u00e0 49 m\u1ee5c \u1edf d\u01b0\u1edbi.<\/p>\n

S\u1ef1 kh\u00e1c bi\u1ec7t gi\u1eefa s\u1ed1 trung b\u00ecnh v\u00e0 trung v\u1ecb l\u00e0 g\u00ec?<\/strong><\/h2>\n

Trung b\u00ecnh v\u00e0 trung v\u1ecb l\u00e0 c\u00e1c thu\u1eadt ng\u1eef th\u1ed1ng k\u00ea c\u00f3 vai tr\u00f2 h\u01a1i gi\u1ed1ng nhau trong vi\u1ec7c hi\u1ec3u xu h\u01b0\u1edbng trung t\u00e2m c\u1ee7a m\u1ed9t t\u1eadp h\u1ee3p th\u1ed1ng k\u00ea. Nh\u01b0 \u0111\u00e3 hi\u1ec3u trung v\u1ecb l\u00e0 g\u00ec v\u00e0 trung b\u00ecnh l\u00e0 g\u00ec th\u00ec c\u1ea3 hai \u0111\u1ec1u l\u00e0 s\u1ed1 \u1edf gi\u1eefa.<\/p>\n

M\u1eb7c d\u00f9 trung b\u00ecnh th\u01b0\u1eddng \u0111\u01b0\u1ee3c xem l\u00e0 th\u01b0\u1edbc \u0111o ph\u1ed5 bi\u1ebfn cho \u0111i\u1ec3m gi\u1eefa, nh\u01b0ng n\u00f3 c\u00f3 nh\u01b0\u1ee3c \u0111i\u1ec3m l\u00e0 b\u1ecb \u1ea3nh h\u01b0\u1edfng b\u1edfi b\u1ea5t k\u1ef3 gi\u00e1 tr\u1ecb \u0111\u01a1n l\u1ebb n\u00e0o qu\u00e1 cao ho\u1eb7c qu\u00e1 th\u1ea5p so v\u1edbi ph\u1ea7n c\u00f2n l\u1ea1i. \u0110\u00e2y l\u00e0 l\u00fd do t\u1ea1i sao trung v\u1ecb \u0111\u00f4i khi \u0111\u01b0\u1ee3c coi l\u00e0 th\u01b0\u1edbc \u0111o t\u1ed1t h\u01a1n cho \u0111i\u1ec3m \u1edf gi\u1eefa.<\/p>\n

\u201cS\u1ed1 trung v\u1ecb l\u00e0 s\u1ed1 \u1edf gi\u1eefa trong 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 v\u1ec1 t\u1eadp d\u1eef li\u1ec7u \u0111\u00f3 nhi\u1ec1u h\u01a1n l\u00e0 s\u1ed1 trung b\u00ecnh\u201d.<\/p>\n

\u1ee8ng d\u1ee5ng c\u1ee7a trung v\u1ecb<\/strong><\/h2>\n

Ph\u00e2n nh\u00f3m d\u1eef li\u1ec7u<\/strong><\/h3>\n

Gi\u1ea3 s\u1eed, b\u1ea1n ph\u1ea3i t\u1ed5 ch\u1ee9c m\u1ed9t ho\u1ea1t \u0111\u1ed9ng trong l\u1edbp, b\u1ea1n ph\u1ea3i chia h\u1ecdc sinh c\u1ee7a l\u1edbp th\u00e0nh hai nh\u00f3m. Tuy nhi\u00ean, b\u1ea1n kh\u00f4ng th\u1ec3 quy\u1ebft \u0111\u1ecbnh ti\u1ebfn h\u00e0nh nh\u01b0 th\u1ebf n\u00e0o v\u00ec b\u1ea1n kh\u00f4ng th\u1ec3 \u0111\u1ed9t ng\u1ed9t x\u1ebfp m\u1ecdi ng\u01b0\u1eddi v\u00e0o c\u00e1c nh\u00f3m kh\u00e1c nhau. \u0110\u1ec3 l\u00e0m nh\u01b0 v\u1eady, tr\u01b0\u1edbc ti\u00ean b\u1ea1n n\u00ean quy\u1ebft \u0111\u1ecbnh y\u1ebfu t\u1ed1 m\u00e0 b\u1ea1n mu\u1ed1n th\u1ef1c hi\u1ec7n ph\u00e2n nh\u00f3m.<\/p>\n

V\u00ed d\u1ee5 y\u1ebfu t\u1ed1 \u0111\u01b0\u1ee3c ch\u1ecdn l\u00e0 chi\u1ec1u cao c\u1ee7a h\u1ecdc sinh. B\u00e2y gi\u1edd, ch\u1ec9 c\u1ea7n ghi l\u1ea1i chi\u1ec1u cao c\u1ee7a t\u1ea5t c\u1ea3 c\u00e1c h\u1ecdc sinh v\u00e0 s\u1eafp x\u1ebfp d\u1eef li\u1ec7u theo th\u1ee9 t\u1ef1 t\u0103ng d\u1ea7n. Gi\u1ea3 s\u1eed, d\u1eef li\u1ec7u ghi \u0111\u01b0\u1ee3c l\u00e0 152 cm, 158 cm, 160 cm, 162 cm, 189 cm v\u00e0 195 cm.<\/p>\n

N\u1ebfu b\u1ea1n t\u00ednh gi\u00e1 tr\u1ecb trung v\u1ecb c\u1ee7a c\u00e1c d\u1eef li\u1ec7u n\u00eau tr\u00ean, n\u00f3 s\u1ebd l\u00e0 161 cm. B\u00e2y gi\u1edd, hai nh\u00f3m c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c th\u00e0nh l\u1eadp r\u1ea5t d\u1ec5 d\u00e0ng, m\u1ed9t s\u1ebd l\u00e0 m\u1ed9t nh\u00f3m h\u1ecdc sinh c\u00f3 chi\u1ec1u cao tr\u00ean 161 cm, trong khi nh\u00f3m th\u1ee9 hai c\u00f3 chi\u1ec1u cao d\u01b0\u1edbi 161 cm.<\/p>\n

Qu\u1ea3n l\u00fd kinh doanh<\/strong><\/h3>\n

Th\u1ed1ng k\u00ea \u0111\u00f3ng m\u1ed9t vai tr\u00f2 quan tr\u1ecdng trong qu\u1ea3n l\u00fd kinh doanh. Gi\u1ea3 s\u1eed, m\u1ed9t c\u00f4ng ty kinh doanh gi\u00e0y \u0111\u00e3 \u0111\u1eb7t c\u00e1c m\u1ee9c gi\u00e1 kh\u00e1c nhau cho c\u00e1c s\u1ea3n ph\u1ea9m kh\u00e1c nhau, ch\u1eb3ng h\u1ea1n nh\u01b0 120 ng\u00e0n \u0111\u1ed3ng, 180 ng\u00e0n \u0111\u1ed3ng, 250 ng\u00e0n \u0111\u1ed3ng, 400 ng\u00e0n \u0111\u1ed3ng v\u00e0 1 tri\u1ec7u \u0111\u1ed3ng.<\/p>\n

H\u1ecd c\u1ea7n c\u1ea3i thi\u1ec7n ho\u1ea1t \u0111\u1ed9ng kinh doanh b\u1eb1ng c\u00e1ch s\u1eeda \u0111\u1ed5i chi ph\u00ed s\u1ea3n ph\u1ea9m cao h\u01a1n \u0111\u01b0\u1ee3c h\u1ea7u h\u1ebft m\u1ecdi ng\u01b0\u1eddi ch\u1ea5p nh\u1eadn. H\u1ecd t\u00ednh to\u00e1n gi\u00e1 tr\u1ecb trung b\u00ecnh l\u00e0 390 ng\u00e0n \u0111\u1ed3ng, trong khi m\u1ee9c trung v\u1ecb l\u00e0 250 ng\u00e0n \u0111\u1ed3ng.<\/p>\n

\u1ede \u0111\u00e2y, gi\u00e1 tr\u1ecb trung b\u00ecnh s\u1ebd kh\u00f4ng h\u1eefu \u00edch v\u00ec nh\u1eefng ng\u01b0\u1eddi c\u00f3 xu h\u01b0\u1edbng mua gi\u00e0y tr\u1ecb gi\u00e1 400 ng\u00e0n \u0111\u1ed3ng s\u1ebd kh\u00f4ng th\u1ea5y s\u1ef1 kh\u00e1c bi\u1ec7t v\u1ec1 gi\u00e1 m\u1edbi, t\u1ee9c l\u00e0 390 ng\u00e0n \u0111\u1ed3ng, trong khi ng\u01b0\u1eddi kh\u00e1c c\u00f3 th\u1ec3 mua \u0111\u01b0\u1ee3c \u0111\u00f4i gi\u00e0y tr\u1ecb gi\u00e1 120 ng\u00e0n \u0111\u1ed3ng ph\u1ea3i \u0111\u1ee3i cho \u0111\u1ebfn khi anh ta \u0111\u1ea1t \u0111\u1ebfn m\u1ee9c gi\u00e1 trung b\u00ecnh, t\u1ee9c l\u00e0 390 ng\u00e0n \u0111\u1ed3ng.<\/p>\n

M\u1eb7t kh\u00e1c, m\u1ee9c trung v\u1ecb cho ph\u00e9p kh\u00e1ch h\u00e0ng thu\u1ed9c m\u1ecdi lo\u1ea1i c\u00f3 m\u1ee9c gi\u00e1 v\u1eeba ph\u1ea3i m\u00e0 h\u1ecd c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng mua \u0111\u01b0\u1ee3c. Do \u0111\u00f3, c\u00f4ng vi\u1ec7c kinh doanh c\u1ee7a h\u1ecd thu\u1eadn l\u1ee3i h\u01a1n.<\/p>\n

M\u1ee9c l\u01b0\u01a1ng trung b\u00ecnh<\/strong><\/h2>\n

Nh\u1eefng n\u01a1i l\u00e0m vi\u1ec7c kh\u00e1c nhau c\u00f3 nh\u1eefng quy \u0111\u1ecbnh ri\u00eang. M\u1ed9t s\u1ed1 ng\u01b0\u1eddi l\u1ea5y m\u1ee9c l\u01b0\u01a1ng trung b\u00ecnh l\u00e0m c\u01a1 s\u1edf, trong khi m\u1ed9t s\u1ed1 kh\u00e1c ch\u1ecdn m\u1ee9c l\u01b0\u01a1ng trung v\u1ecb \u0111\u1ec3 tham chi\u1ebfu. M\u1ee9c l\u01b0\u01a1ng trung v\u1ecb gi\u00fap ng\u01b0\u1eddi lao \u0111\u1ed9ng bi\u1ebft \u0111\u01b0\u1ee3c \u0111i\u1ec3m gi\u1eefa c\u1ee7a m\u1ee9c l\u01b0\u01a1ng trong s\u1ef1 nghi\u1ec7p c\u1ee7a h\u1ecd.<\/p>\n

N\u00f3 c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 thu nh\u1eadp 50%, c\u00f3 ngh\u0129a l\u00e0 m\u1ed9t n\u1eeda s\u1ed1 nh\u00e2n vi\u00ean l\u00e0m vi\u1ec7c tr\u00ean m\u1ee9c l\u01b0\u01a1ng trung b\u00ecnh n\u00e0y, trong khi m\u1ed9t n\u1eeda trong s\u1ed1 h\u1ecd l\u00e0m vi\u1ec7c d\u01b0\u1edbi m\u1ee9c l\u01b0\u01a1ng \u0111\u00f3. \u0110i\u1ec1u n\u00e0y mang l\u1ea1i c\u1ea3m gi\u00e1c c\u1ea1nh tranh l\u00e0nh m\u1ea1nh v\u00e0 cho ph\u00e9p h\u1ecd ph\u00e1t tri\u1ec3n.<\/p>\n

Tr\u00ean \u0111\u00e2y l\u00e0 nh\u1eefng chia s\u1ebb v\u1ec1 trung v\u1ecb l\u00e0 g\u00ec, c\u00f3 g\u00ec kh\u00e1c bi\u1ec7t so v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh v\u00e0 m\u1ed9t s\u1ed1 \u1ee9ng d\u1ee5ng trong \u0111\u1eddi s\u1ed1ng, hi v\u1ecdng b\u1ea1n \u0111\u00e3 n\u1eafm b\u1eaft \u0111\u01b0\u1ee3c thu\u1eadt ng\u1eef n\u00e0y m\u1ed9t c\u00e1ch r\u00f5 r\u00e0ng nh\u1ea5t.<\/p>\n

Hu\u1ef3nh Tr\u00e2m<\/strong><\/p>\n\n

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