{"id":24031,"date":"2023-12-06T09:05:15","date_gmt":"2023-12-06T09:05:15","guid":{"rendered":"https:\/\/masterskills.org\/blog\/trung-binh-cong-arithmetic-mean-la-gi-ung-dung-va-han-che.html"},"modified":"2023-12-22T09:30:38","modified_gmt":"2023-12-22T02:30:38","slug":"trung-binh-cong-arithmetic-mean-la-gi-ung-dung-va-han-che","status":"publish","type":"post","link":"https:\/\/masterskills.org\/blog\/trung-binh-cong-arithmetic-mean-la-gi-ung-dung-va-han-che.html","title":{"rendered":"Trung b\u00ecnh c\u1ed9ng (Arithmetic Mean) l\u00e0 g\u00ec? \u1ee8ng d\u1ee5ng v\u00e0 h\u1ea1n ch\u1ebf"},"content":{"rendered":"
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H\u00ecnh minh h\u1ecda. Ngu\u1ed3n: www.wallstreetmojo.com<\/p>\n<\/figcaption><\/figure>\n

Trung b\u00ecnh c\u1ed9ng<\/font><\/font><\/h2>\n

Kh\u00e1i ni\u1ec7m<\/b><\/p>\n

Trung b\u00ecnh c\u1ed9ng<\/b> ho\u1eb7c Trung b\u00ecnh c\u1ed9ng s\u1ed1 h\u1ecdc<\/b> trong ti\u1ebfng Anh l\u00e0 Arithmetic Mean<\/b>.<\/p>\n

Trung b\u00ecnh c\u1ed9ng<\/b> l\u00e0 th\u01b0\u1edbc \u0111o \u0111\u01a1n gi\u1ea3n nh\u1ea5t, \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i nh\u1ea5t \u0111\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb trung b\u00ecnh. \u0110\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ed9ng, ta l\u1ea5y t\u1ed5ng c\u1ee7a m\u1ed9t nh\u00f3m s\u1ed1, sau \u0111\u00f3 chia t\u1ed5ng \u0111\u00f3 cho s\u1ed1 l\u01b0\u1ee3ng c\u00e1c s\u1ed1 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong chu\u1ed7i.<\/p>\n

V\u00ed d\u1ee5: Ta c\u1ed9ng 34, 44, 56 v\u00e0 78 \u0111\u01b0\u1ee3c t\u1ed5ng l\u00e0 212. Trung b\u00ecnh c\u1ed9ng s\u1ed1 h\u1ecdc c\u1ee7a d\u00e3y s\u1ed1 l\u00e0: 212\/4 = 53.<\/p>\n

M\u1ed9t s\u1ed1 gi\u00e1 tr\u1ecb trung b\u00ecnh kh\u00e1c c\u0169ng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong t\u00e0i ch\u00ednh v\u00e0 \u0111\u1ea7u t\u01b0 nh\u01b0\u00a0trung b\u00ecnh nh\u00e2n\u00a0v\u00e0 trung b\u00ecnh \u0111i\u1ec1u h\u00f2a (harmonic mean). M\u1ed9t v\u00ed d\u1ee5 kh\u00e1c l\u00e0 gi\u00e1\u00a0tr\u1ecb trung b\u00ecnh \u0111\u01b0\u1ee3c \u0111i\u1ec1u ch\u1ec9nh\u00a0\u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng khi t\u00ednh to\u00e1n\u00a0CPI\u00a0v\u00e0 CPE.<\/p>\n

\u1ee8ng d\u1ee5ng trong l\u0129nh v\u1ef1c t\u00e0i ch\u00ednh<\/font><\/h3>\n

Trung b\u00ecnh s\u1ed1 h\u1ecdc \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i trong l\u0129nh v\u1ef1c t\u00e0i ch\u00ednh. Trung b\u00ecnh s\u1ed1 h\u1ecdc l\u00e0 \u0111\u01a1n gi\u1ea3n v\u00e0 h\u1ea7u h\u1ebft m\u1ecdi ng\u01b0\u1eddi c\u00f3 m\u1ed9t ch\u00fat k\u0129 n\u0103ng t\u00e0i ch\u00ednh v\u00e0 to\u00e1n h\u1ecdc \u0111\u1ec1u c\u00f3 th\u1ec3 t\u00ednh to\u00e1n n\u00f3.<\/p>\n

V\u00ed d\u1ee5 nh\u01b0 \u01b0\u1edbc t\u00ednh thu nh\u1eadp trung b\u00ecnh th\u01b0\u1eddng l\u00e0 trung b\u00ecnh c\u1ed9ng. Gi\u1ea3 s\u1eed b\u1ea1n mu\u1ed1n bi\u1ebft k\u00ec v\u1ecdng thu nh\u1eadp trung b\u00ecnh c\u1ee7a 16 nh\u00e0 ph\u00e2n t\u00edch v\u1ec1 m\u1ed9t c\u1ed5 phi\u1ebfu c\u1ee5 th\u1ec3. \u0110\u01a1n gi\u1ea3n ch\u1ec9 c\u1ea7n c\u1ed9ng t\u1ea5t c\u1ea3 c\u00e1c \u01b0\u1edbc t\u00ednh v\u00e0 chia cho 16 \u0111\u1ec3 c\u00f3 \u0111\u01b0\u1ee3c gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ed9ng.<\/p>\n

\u0110i\u1ec1u t\u01b0\u01a1ng t\u1ef1 c\u0169ng \u0111\u00fang n\u1ebfu b\u1ea1n mu\u1ed1n t\u00ednh gi\u00e1 \u0111\u00f3ng c\u1eeda trung b\u00ecnh c\u1ee7a c\u1ed5 phi\u1ebfu trong m\u1ed9t th\u00e1ng c\u1ee5 th\u1ec3. C\u00f3 23 ng\u00e0y giao d\u1ecbch trong th\u00e1ng, ta l\u1ea5y t\u1ea5t c\u1ea3 gi\u00e1 c\u1ed9ng l\u1ea1i v\u1edbi nhau r\u1ed3i chia cho 23 \u0111\u1ec3 c\u00f3 gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ed9ng.<\/p>\n

Trung b\u00ecnh c\u1ed9ng c\u0169ng l\u00e0 m\u1ed9t th\u01b0\u1edbc \u0111o h\u1eefu \u00edch c\u1ee7a xu h\u01b0\u1edbng t\u1eadp t\u00e2m (central tendency), v\u00ec n\u00f3 c\u00f3 xu h\u01b0\u1edbng cung c\u1ea5p k\u1ebft qu\u1ea3 h\u1eefu \u00edch ngay c\u1ea3 v\u1edbi c\u00e1c nh\u00f3m c\u00f3 s\u1ed1 l\u01b0\u1ee3ng l\u1edbn.<\/p>\n

H\u1ea1n ch\u1ebf c\u1ee7a s\u1ed1 trung b\u00ecnh c\u1ed9ng<\/font><\/h3>\n

Gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ed9ng kh\u00f4ng ph\u1ea3i l\u00fac n\u00e0o c\u0169ng l\u00ed t\u01b0\u1edfng, \u0111\u1eb7c bi\u1ec7t l\u00e0 khi m\u1ed9t gi\u00e1 tr\u1ecb ngo\u1ea1i lai c\u00f3 th\u1ec3 l\u00e0m l\u1ec7ch m\u1ed9t l\u01b0\u1ee3ng l\u1edbn gi\u00e1 tr\u1ecb trung b\u00ecnh.<\/p>\n

V\u00ed d\u1ee5 ta mu\u1ed1n \u01b0\u1edbc t\u00ednh kho\u1ea3n tr\u1ee3 c\u1ea5p c\u1ee7a m\u1ed9t nh\u00f3m 10 \u0111\u1ee9a tr\u1ebb. Ch\u00edn ng\u01b0\u1eddi trong s\u1ed1 h\u1ecd nh\u1eadn \u0111\u01b0\u1ee3c m\u1ed9t kho\u1ea3n tr\u1ee3 c\u1ea5p t\u1eeb $10 \u0111\u1ebfn $12 tr\u00ean m\u1ed9t tu\u1ea7n. \u0110\u1ee9a tr\u1ebb th\u1ee9 m\u01b0\u1eddi \u0111\u01b0\u1ee3c tr\u1ee3 c\u1ea5p $60. \u0110\u00f3 l\u00e0 m\u1ed9t gi\u00e1 tr\u1ecb ngo\u1ea1i lai s\u1ebd d\u1eabn \u0111\u1ebfn trung b\u00ecnh s\u1ed1 h\u1ecdc l\u00e0 $16. \u0110\u00e2y kh\u00f4ng ph\u1ea3i l\u00e0 \u0111\u1ea1i di\u1ec7n c\u1ee7a nh\u00f3m.<\/p>\n

Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y,\u00a0gi\u00e1 tr\u1ecb trung v\u1ecb\u00a0c\u1ee7a 10 kho\u1ea3n tr\u1ee3 c\u1ea5p c\u00f3 th\u1ec3 l\u00e0 th\u01b0\u1edbc \u0111o t\u1ed1t h\u01a1n.<\/p>\n

Trung b\u00ecnh s\u1ed1 h\u1ecdc c\u0169ng kh\u00f4ng ph\u1ea3i l\u00e0 c\u00e1ch t\u1ed1t nh\u1ea5t khi t\u00ednh to\u00e1n hi\u1ec7u qu\u1ea3 danh m\u1ee5c \u0111\u1ea7u t\u01b0, \u0111\u1eb7c bi\u1ec7t l\u00e0 khi n\u00f3 li\u00ean quan \u0111\u1ebfn l\u00e3i k\u00e9p, ho\u1eb7c t\u00e1i \u0111\u1ea7u t\u01b0 c\u1ed5 t\u1ee9c v\u00e0 thu nh\u1eadp.<\/p>\n

N\u00f3 c\u0169ng th\u01b0\u1eddng kh\u00f4ng \u0111\u01b0\u1ee3c c\u00e1c nh\u00e0 ph\u00e2n t\u00edch s\u1eed d\u1ee5ng \u0111\u1ec3 \u01b0\u1edbc t\u00ednh d\u00f2ng ti\u1ec1n hi\u1ec7n t\u1ea1i v\u00e0 t\u01b0\u01a1ng lai. N\u1ebfu d\u00f9ng s\u1ed1 trung b\u00ecnh c\u1ed9ng th\u00ec g\u1ea7n nh\u01b0 ch\u1eafc ch\u1eafn s\u1ebd d\u1eabn \u0111\u1ebfn k\u1ebft qu\u1ea3 sai. \u0110\u1ed1i v\u1edbi tr\u01b0\u1eddng h\u1ee3p n\u00e0y, c\u00e1c nh\u00e0 ph\u00e2n t\u00edch c\u00f3 xu h\u01b0\u1edbng s\u1eed d\u1ee5ng\u00a0gi\u00e1 tr\u1ecb trung b\u00ecnh nh\u00e2n.<\/p>\n

(Ngu\u1ed3n tham kh\u1ea3o: Investopedia)<\/i><\/p>\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"

\n Trung b\u00ecnh c\u1ed9ng (ti\u1ebfng Anh: Arithmetic Mean) l\u00e0 th\u01b0\u1edbc \u0111o \u0111\u01a1n gi\u1ea3n nh\u1ea5t, \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i nh\u1ea5t \u0111\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb trung b\u00ecnh. \u0110\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ed9ng, ta l\u1ea5y t\u1ed5ng c\u1ee7a m\u1ed9t nh\u00f3m s\u1ed1, sau \u0111\u00f3 chia t\u1ed5ng \u0111\u00f3 cho s\u1ed1 l\u01b0\u1ee3ng c\u00e1c s\u1ed1 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong chu\u1ed7i.\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\/24031"}],"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=24031"}],"version-history":[{"count":0,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts\/24031\/revisions"}],"wp:attachment":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/media?parent=24031"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/categories?post=24031"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/tags?post=24031"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}