{"id":39,"date":"2026-06-07T00:53:14","date_gmt":"2026-06-07T00:53:14","guid":{"rendered":"https:\/\/blog.phantram.online\/mode-yeu-vi-la-gi\/"},"modified":"2026-06-11T02:18:43","modified_gmt":"2026-06-11T02:18:43","slug":"mode-yeu-vi-la-gi","status":"publish","type":"post","link":"https:\/\/1phantram.com\/blog\/mode-yeu-vi-la-gi\/","title":{"rendered":"Mode (Y\u1ebfu V\u1ecb) L\u00e0 G\u00ec? C\u00e1ch T\u00ecm V\u00e0 \u1ee8ng D\u1ee5ng Th\u1ef1c T\u1ebf"},"content":{"rendered":"<p><strong>Mode (y\u1ebfu v\u1ecb)<\/strong> l\u00e0 gi\u00e1 tr\u1ecb ho\u1eb7c nh\u00f3m gi\u00e1 tr\u1ecb xu\u1ea5t hi\u1ec7n v\u1edbi t\u1ea7n s\u1ed1 cao nh\u1ea5t trong m\u1ed9t t\u1eadp d\u1eef li\u1ec7u. Trong <a href=\"https:\/\/1phantram.com\/blog\/thong-ke-co-ban\/\">th\u1ed1ng k\u00ea c\u01a1 b\u1ea3n<\/a>, mode l\u00e0 m\u1ed9t trong ba \u0111\u1ea1i l\u01b0\u1ee3ng \u0111o xu h\u01b0\u1edbng trung t\u00e2m c\u1ed1t l\u00f5i, b\u00ean c\u1ea1nh <a href=\"https:\/\/1phantram.com\/blog\/trung-binh-cong-la-gi\/\">trung b\u00ecnh c\u1ed9ng (mean)<\/a> v\u00e0 <a href=\"https:\/\/1phantram.com\/blog\/trung-vi-median-la-gi\/\">trung v\u1ecb (median)<\/a>. \u0110i\u1ec3m \u0111\u1eb7c bi\u1ec7t c\u1ee7a mode: \u0111\u00e2y l\u00e0 \u0111\u1ea1i l\u01b0\u1ee3ng duy nh\u1ea5t c\u00f3 th\u1ec3 d\u00f9ng \u0111\u01b0\u1ee3c cho c\u1ea3 d\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh (m\u00e0u s\u1eafc, s\u1edf th\u00edch, ngh\u1ec1 nghi\u1ec7p) \u2014 \u0111i\u1ec1u m\u00e0 mean v\u00e0 median kh\u00f4ng l\u00e0m \u0111\u01b0\u1ee3c.<\/p>\n<h2>Mode L\u00e0 G\u00ec? \u0110\u1ecbnh Ngh\u0129a Trong Th\u1ed1ng K\u00ea<\/h2>\n<p>Mode (hay c\u00f2n g\u1ecdi l\u00e0 <strong>y\u1ebfu v\u1ecb<\/strong> ho\u1eb7c <strong>gi\u00e1 tr\u1ecb th\u01b0\u1eddng g\u1eb7p nh\u1ea5t<\/strong>) l\u00e0 gi\u00e1 tr\u1ecb xu\u1ea5t hi\u1ec7n nhi\u1ec1u l\u1ea7n nh\u1ea5t trong t\u1eadp d\u1eef li\u1ec7u. N\u1ebfu kh\u00f4ng c\u00f3 gi\u00e1 tr\u1ecb n\u00e0o l\u1eb7p l\u1ea1i (m\u1ed7i gi\u00e1 tr\u1ecb ch\u1ec9 xu\u1ea5t hi\u1ec7n m\u1ed9t l\u1ea7n), t\u1eadp d\u1eef li\u1ec7u \u0111\u00f3 kh\u00f4ng c\u00f3 mode.<\/p>\n<p>K\u00fd hi\u1ec7u: Mode th\u01b0\u1eddng \u0111\u01b0\u1ee3c vi\u1ebft l\u00e0 <strong>Mo<\/strong> ho\u1eb7c <strong>Md<\/strong> (kh\u00f4ng nh\u1ea7m v\u1edbi Median).<\/p>\n<p><strong>V\u00ed d\u1ee5 \u0111\u01a1n gi\u1ea3n:<\/strong><br \/>\n\u0110i\u1ec3m ki\u1ec3m tra c\u1ee7a 8 h\u1ecdc sinh: 6, 7, 7, 8, 7, 9, 8, 7<br \/>\n\u0110\u1ebfm t\u1ea7n s\u1ed1: 6\u21921 l\u1ea7n, 7\u21924 l\u1ea7n, 8\u21922 l\u1ea7n, 9\u21921 l\u1ea7n<br \/>\nMode = <strong>7<\/strong> (xu\u1ea5t hi\u1ec7n 4 l\u1ea7n, nhi\u1ec1u nh\u1ea5t)<\/p>\n<h2>C\u00e1ch T\u00ecm Mode Trong T\u1eadp D\u1eef Li\u1ec7u<\/h2>\n<h3>B\u01b0\u1edbc 1: L\u1eadp b\u1ea3ng t\u1ea7n s\u1ed1<\/h3>\n<p>\u0110\u1ebfm s\u1ed1 l\u1ea7n xu\u1ea5t hi\u1ec7n c\u1ee7a m\u1ed7i gi\u00e1 tr\u1ecb. Gi\u00e1 tr\u1ecb c\u00f3 t\u1ea7n s\u1ed1 cao nh\u1ea5t l\u00e0 mode.<\/p>\n<h3>B\u01b0\u1edbc 2: X\u00e1c \u0111\u1ecbnh lo\u1ea1i mode<\/h3>\n<ul>\n<li><strong>Unimodal (m\u1ed9t \u0111\u1ec9nh):<\/strong> C\u00f3 \u0111\u00fang m\u1ed9t gi\u00e1 tr\u1ecb c\u00f3 t\u1ea7n s\u1ed1 cao nh\u1ea5t.<\/li>\n<li><strong>Bimodal (hai \u0111\u1ec9nh):<\/strong> C\u00f3 hai gi\u00e1 tr\u1ecb c\u00f9ng c\u00f3 t\u1ea7n s\u1ed1 cao nh\u1ea5t.<\/li>\n<li><strong>Multimodal (nhi\u1ec1u \u0111\u1ec9nh):<\/strong> C\u00f3 t\u1eeb 3 mode tr\u1edf l\u00ean.<\/li>\n<li><strong>Kh\u00f4ng c\u00f3 mode:<\/strong> M\u1ecdi gi\u00e1 tr\u1ecb \u0111\u1ec1u xu\u1ea5t hi\u1ec7n \u0111\u00fang m\u1ed9t l\u1ea7n.<\/li>\n<\/ul>\n<h2>Unimodal, Bimodal V\u00e0 Multimodal L\u00e0 G\u00ec?<\/h2>\n<h3>Unimodal \u2014 D\u1eef li\u1ec7u m\u1ed9t \u0111\u1ec9nh<\/h3>\n<p>D\u1eef li\u1ec7u: 3, 4, 5, 5, 5, 6, 7, 8<br \/>\nMode = <strong>5<\/strong> (xu\u1ea5t hi\u1ec7n 3 l\u1ea7n). \u0110\u00e2y l\u00e0 ph\u00e2n ph\u1ed1i unimodal \u2014 ph\u1ed5 bi\u1ebfn nh\u1ea5t trong th\u1ef1c t\u1ebf.<\/p>\n<h3>Bimodal \u2014 D\u1eef li\u1ec7u hai \u0111\u1ec9nh<\/h3>\n<p>D\u1eef li\u1ec7u: 2, 3, 3, 4, 5, 6, 6, 7, 8<br \/>\nMode = <strong>3 v\u00e0 6<\/strong> (m\u1ed7i gi\u00e1 tr\u1ecb xu\u1ea5t hi\u1ec7n 2 l\u1ea7n). Ph\u00e2n ph\u1ed1i bimodal th\u01b0\u1eddng g\u1eb7p khi c\u00f3 hai nh\u00f3m kh\u00e1c nhau trong d\u1eef li\u1ec7u.<\/p>\n<p><strong>V\u00ed d\u1ee5 th\u1ef1c t\u1ebf:<\/strong> Chi\u1ec1u cao c\u1ee7a d\u00e2n s\u1ed1 g\u1ed3m c\u1ea3 nam v\u00e0 n\u1eef th\u01b0\u1eddng c\u00f3 ph\u00e2n ph\u1ed1i bimodal \u2014 m\u1ed9t \u0111\u1ec9nh cho chi\u1ec1u cao nam trung b\u00ecnh (~168cm) v\u00e0 m\u1ed9t \u0111\u1ec9nh cho n\u1eef (~156cm).<\/p>\n<h3>Multimodal \u2014 D\u1eef li\u1ec7u nhi\u1ec1u \u0111\u1ec9nh<\/h3>\n<p>D\u1eef li\u1ec7u: 1, 2, 2, 3, 4, 4, 5, 6, 6, 7<br \/>\nMode = <strong>2, 4 v\u00e0 6<\/strong> (m\u1ed7i gi\u00e1 tr\u1ecb xu\u1ea5t hi\u1ec7n 2 l\u1ea7n). Ph\u00e2n ph\u1ed1i multimodal th\u01b0\u1eddng ch\u1ec9 c\u00f3 \u00fd ngh\u0129a khi c\u00f3 l\u00fd do r\u00f5 r\u00e0ng cho c\u00e1c nh\u00f3m con.<\/p>\n<h2>V\u00ed D\u1ee5 T\u00ednh Mode Trong Th\u1ef1c T\u1ebf<\/h2>\n<h3>V\u00ed d\u1ee5 1: Kh\u1ea3o s\u00e1t s\u1edf th\u00edch m\u00e0u s\u1eafc<\/h3>\n<table border=\"1\" cellpadding=\"8\" cellspacing=\"0\" style=\"border-collapse:collapse;width:100%\">\n<thead>\n<tr style=\"background:#e8f4fd\">\n<th>M\u00e0u s\u1eafc<\/th>\n<th>S\u1ed1 ng\u01b0\u1eddi ch\u1ecdn<\/th>\n<th>T\u1ea7n su\u1ea5t (%)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Xanh lam<\/td>\n<td>45<\/td>\n<td>45%<\/td>\n<\/tr>\n<tr>\n<td>\u0110\u1ecf<\/td>\n<td>28<\/td>\n<td>28%<\/td>\n<\/tr>\n<tr>\n<td>Xanh l\u00e1<\/td>\n<td>17<\/td>\n<td>17%<\/td>\n<\/tr>\n<tr>\n<td>V\u00e0ng<\/td>\n<td>10<\/td>\n<td>10%<\/td>\n<\/tr>\n<tr>\n<td><strong>T\u1ed5ng<\/strong><\/td>\n<td><strong>100<\/strong><\/td>\n<td><strong>100%<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Mode = <strong>Xanh lam<\/strong> (45 ng\u01b0\u1eddi ch\u1ecdn, nhi\u1ec1u nh\u1ea5t). \u0110\u00e2y l\u00e0 v\u00ed d\u1ee5 \u0111i\u1ec3n h\u00ecnh d\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh \u2014 kh\u00f4ng th\u1ec3 t\u00ednh mean hay median, ch\u1ec9 c\u00f3 th\u1ec3 d\u00f9ng mode.<\/p>\n<h3>V\u00ed d\u1ee5 2: S\u1ed1 gi\u00e0y ph\u1ed5 bi\u1ebfn nh\u1ea5t<\/h3>\n<p>M\u1ed9t c\u1eeda h\u00e0ng gi\u00e0y ghi l\u1ea1i size gi\u00e0y b\u00e1n trong tu\u1ea7n: 38, 39, 40, 40, 40, 41, 41, 42, 39, 40, 43, 40<\/p>\n<p>\u0110\u1ebfm: 38\u21921, 39\u21922, 40\u21925, 41\u21922, 42\u21921, 43\u21921<\/p>\n<p>Mode = <strong>40<\/strong> \u2014 c\u1eeda h\u00e0ng n\u00ean nh\u1eadp nhi\u1ec1u h\u00e0ng size 40 nh\u1ea5t.<\/p>\n<p>\u0110\u00e2y l\u00e0 \u1ee9ng d\u1ee5ng mode trong qu\u1ea3n l\u00fd t\u1ed3n kho \u2014 th\u1ef1c t\u1ebf h\u01a1n nhi\u1ec1u so v\u1edbi size trung b\u00ecnh.<\/p>\n<h3>V\u00ed d\u1ee5 3: \u0110i\u1ec3m thi ph\u1ed5 bi\u1ebfn nh\u1ea5t trong l\u1edbp<\/h3>\n<p>\u0110i\u1ec3m cu\u1ed1i k\u1ef3 c\u1ee7a 20 h\u1ecdc sinh: 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 6, 7, 8<\/p>\n<p>\u0110\u1ebfm: 5\u21921, 6\u21923, 7\u21925, 8\u21926, 9\u21923, 10\u21922<\/p>\n<p>Mode = <strong>8<\/strong> \u2014 \u0111i\u1ec3m 8 ph\u1ed5 bi\u1ebfn nh\u1ea5t trong l\u1edbp.<\/p>\n<p>Gi\u00e1o vi\u00ean c\u00f3 th\u1ec3 d\u00f9ng mode \u0111\u1ec3 \u0111\u00e1nh gi\u00e1: n\u1ebfu mode th\u1ea5p h\u01a1n k\u1ef3 v\u1ecdng, \u0111\u1ec1 thi c\u00f3 th\u1ec3 qu\u00e1 kh\u00f3.<\/p>\n<h2>So S\u00e1nh Mode, Mean V\u00e0 Median<\/h2>\n<table border=\"1\" cellpadding=\"8\" cellspacing=\"0\" style=\"border-collapse:collapse;width:100%\">\n<thead>\n<tr style=\"background:#e8f4fd\">\n<th>Ti\u00eau ch\u00ed<\/th>\n<th>Mode (Y\u1ebfu v\u1ecb)<\/th>\n<th>Mean (Trung b\u00ecnh)<\/th>\n<th>Median (Trung v\u1ecb)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u0110\u1ecbnh ngh\u0129a<\/td>\n<td>Gi\u00e1 tr\u1ecb l\u1eb7p nhi\u1ec1u nh\u1ea5t<\/td>\n<td>T\u1ed5ng \/ n<\/td>\n<td>Gi\u00e1 tr\u1ecb gi\u1eefa (\u0111\u00e3 s\u1eafp x\u1ebfp)<\/td>\n<\/tr>\n<tr>\n<td>D\u00f9ng cho d\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh<\/td>\n<td>\u2705 C\u00f3<\/td>\n<td>\u274c Kh\u00f4ng<\/td>\n<td>\u2705 Th\u1ee9 t\u1ef1 (ordinal)<\/td>\n<\/tr>\n<tr>\n<td>\u1ea2nh h\u01b0\u1edfng b\u1edfi outlier<\/td>\n<td>\u274c Kh\u00f4ng<\/td>\n<td>\u2705 R\u1ea5t cao<\/td>\n<td>\u274c Th\u1ea5p<\/td>\n<\/tr>\n<tr>\n<td>Ph\u1ea3i s\u1eafp x\u1ebfp d\u1eef li\u1ec7u<\/td>\n<td>Kh\u00f4ng (ch\u1ec9 \u0111\u1ebfm)<\/td>\n<td>Kh\u00f4ng<\/td>\n<td>\u2705 C\u00f3<\/td>\n<\/tr>\n<tr>\n<td>C\u00f3 th\u1ec3 c\u00f3 nhi\u1ec1u gi\u00e1 tr\u1ecb<\/td>\n<td>\u2705 C\u00f3 (bimodal&#8230;)<\/td>\n<td>\u274c Lu\u00f4n m\u1ed9t gi\u00e1 tr\u1ecb<\/td>\n<td>\u274c Lu\u00f4n m\u1ed9t gi\u00e1 tr\u1ecb<\/td>\n<\/tr>\n<tr>\n<td>C\u00f3 th\u1ec3 kh\u00f4ng t\u1ed3n t\u1ea1i<\/td>\n<td>\u2705 C\u00f3 th\u1ec3<\/td>\n<td>\u274c Lu\u00f4n t\u1ed3n t\u1ea1i<\/td>\n<td>\u274c Lu\u00f4n t\u1ed3n t\u1ea1i<\/td>\n<\/tr>\n<tr>\n<td>\u1ee8ng d\u1ee5ng<\/td>\n<td>Kh\u1ea3o s\u00e1t, ph\u00e2n lo\u1ea1i, th\u1eddi trang, b\u00e1n l\u1ebb<\/td>\n<td>\u0110i\u1ec3m thi, t\u00e0i ch\u00ednh, khoa h\u1ecdc<\/td>\n<td>Thu nh\u1eadp, nh\u00e0 \u0111\u1ea5t, y t\u1ebf<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u1ee8ng D\u1ee5ng Th\u1ef1c T\u1ebf C\u1ee7a Mode Trong Kinh Doanh V\u00e0 Cu\u1ed9c S\u1ed1ng<\/h2>\n<h3>Ng\u00e0nh th\u1eddi trang v\u00e0 b\u00e1n l\u1ebb<\/h3>\n<p>C\u00e1c th\u01b0\u01a1ng hi\u1ec7u th\u1eddi trang ph\u00e2n t\u00edch mode c\u1ee7a size qu\u1ea7n \u00e1o \u0111\u1ec3 quy\u1ebft \u0111\u1ecbnh s\u1ed1 l\u01b0\u1ee3ng s\u1ea3n xu\u1ea5t m\u1ed7i size. N\u1ebfu size M l\u00e0 mode, nh\u00e0 m\u00e1y s\u1ebd s\u1ea3n xu\u1ea5t nhi\u1ec1u size M h\u01a1n.<\/p>\n<h3>Marketing v\u00e0 kh\u1ea3o s\u00e1t kh\u00e1ch h\u00e0ng<\/h3>\n<p>Khi h\u1ecfi &#8220;B\u1ea1n th\u00edch k\u00eanh mua s\u1eafm n\u00e0o?&#8221; v\u1edbi c\u00e1c l\u1ef1a ch\u1ecdn: Online \/ C\u1eeda h\u00e0ng \/ \u1ee8ng d\u1ee5ng di \u0111\u1ed9ng \u2014 c\u00e2u tr\u1ea3 l\u1eddi ph\u1ed5 bi\u1ebfn nh\u1ea5t (mode) s\u1ebd l\u00e0 k\u00eanh c\u1ea7n \u0111\u1ea7u t\u01b0 nhi\u1ec1u nh\u1ea5t.<\/p>\n<h3>Y t\u1ebf v\u00e0 d\u1ecbch t\u1ec5 h\u1ecdc<\/h3>\n<p>Nh\u00f3m tu\u1ed5i ph\u1ed5 bi\u1ebfn nh\u1ea5t (modal age group) m\u1eafc m\u1ed9t b\u1ec7nh n\u00e0o \u0111\u00f3 gi\u00fap c\u01a1 quan y t\u1ebf t\u1eadp trung ngu\u1ed3n l\u1ef1c v\u00e0o nh\u00f3m nguy c\u01a1 cao nh\u1ea5t.<\/p>\n<h3>Ph\u00e2n t\u00edch k\u1ebft qu\u1ea3 kh\u1ea3o s\u00e1t Likert<\/h3>\n<p>Thang \u0111o Likert (1=R\u1ea5t kh\u00f4ng \u0111\u1ed3ng \u00fd \u2192 5=R\u1ea5t \u0111\u1ed3ng \u00fd) cho ra d\u1eef li\u1ec7u th\u1ee9 t\u1ef1. Mode c\u1ee7a c\u00e1c c\u00e2u tr\u1ea3 l\u1eddi cho bi\u1ebft m\u1ee9c \u0111\u1ed9 ph\u1ed5 bi\u1ebfn nh\u1ea5t c\u1ee7a ph\u1ea3n h\u1ed3i.<\/p>\n<h2>Mode Trong Excel V\u00e0 Google Sheets<\/h2>\n<ul>\n<li><code>=MODE(A1:A20)<\/code> \u2014 tr\u1ea3 v\u1ec1 mode duy nh\u1ea5t (n\u1ebfu nhi\u1ec1u mode, ch\u1ec9 tr\u1ea3 v\u1ec1 mode nh\u1ecf nh\u1ea5t)<\/li>\n<li><code>=MODE.MULT(A1:A20)<\/code> \u2014 tr\u1ea3 v\u1ec1 t\u1ea5t c\u1ea3 c\u00e1c mode (nh\u1eadp b\u1eb1ng Ctrl+Shift+Enter trong Excel c\u0169)<\/li>\n<li><code>=COUNTIF(A1:A20, MODE(A1:A20))<\/code> \u2014 \u0111\u1ebfm t\u1ea7n s\u1ed1 c\u1ee7a mode<\/li>\n<\/ul>\n<p>L\u01b0u \u00fd: V\u1edbi d\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh (v\u0103n b\u1ea3n), Excel kh\u00f4ng c\u00f3 h\u00e0m MODE tr\u1ef1c ti\u1ebfp. D\u00f9ng COUNTIF k\u1ebft h\u1ee3p MAX v\u00e0 INDEX\/MATCH \u0111\u1ec3 t\u00ecm gi\u00e1 tr\u1ecb v\u0103n b\u1ea3n xu\u1ea5t hi\u1ec7n nhi\u1ec1u nh\u1ea5t.<\/p>\n<h2>Mode V\u00e0 Ph\u1ea7n Tr\u0103m Trong Ph\u00e2n T\u00edch D\u1eef Li\u1ec7u<\/h2>\n<p>Khi ph\u00e2n t\u00edch k\u1ebft qu\u1ea3 kh\u1ea3o s\u00e1t, mode th\u01b0\u1eddng \u0111\u01b0\u1ee3c tr\u00ecnh b\u00e0y k\u00e8m t\u1ea7n su\u1ea5t (%) \u0111\u1ec3 th\u1ea5y m\u1ee9c \u0111\u1ed9 ph\u1ed5 bi\u1ebfn:<\/p>\n<p>V\u00ed d\u1ee5: &#8220;Size M l\u00e0 size ph\u1ed5 bi\u1ebfn nh\u1ea5t, chi\u1ebfm 35% t\u1ed5ng doanh s\u1ed1&#8221; \u2014 con s\u1ed1 35% ch\u00ednh l\u00e0 t\u1ea7n su\u1ea5t t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a mode.<\/p>\n<p>\u0110\u1ec3 t\u00ednh nhanh c\u00e1c t\u1ec9 l\u1ec7 ph\u1ea7n tr\u0103m n\u00e0y, h\u00e3y d\u00f9ng <a href=\"https:\/\/1phantram.com\/blog\/tinh-phan-tram\/\">c\u00f4ng c\u1ee5 t\u00ednh ph\u1ea7n tr\u0103m<\/a> \u2014 ti\u1ec7n l\u1ee3i cho m\u1ecdi b\u00e0i to\u00e1n ph\u00e2n t\u00edch d\u1eef li\u1ec7u h\u00e0ng ng\u00e0y.<\/p>\n<h2>C\u00e2u H\u1ecfi Th\u01b0\u1eddng G\u1eb7p (FAQ)<\/h2>\n<h3>T\u1eadp d\u1eef li\u1ec7u c\u00f3 th\u1ec3 kh\u00f4ng c\u00f3 mode kh\u00f4ng?<\/h3>\n<p>C\u00f3. N\u1ebfu t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb trong t\u1eadp d\u1eef li\u1ec7u xu\u1ea5t hi\u1ec7n \u0111\u00fang m\u1ed9t l\u1ea7n (kh\u00f4ng c\u00f3 gi\u00e1 tr\u1ecb n\u00e0o l\u1eb7p l\u1ea1i), t\u1eadp \u0111\u00f3 kh\u00f4ng c\u00f3 mode. V\u00ed d\u1ee5: 2, 5, 8, 11, 14 \u2014 kh\u00f4ng gi\u00e1 tr\u1ecb n\u00e0o l\u1eb7p l\u1ea1i, kh\u00f4ng c\u00f3 mode.<\/p>\n<h3>Khi c\u00f3 2 mode (bimodal), mode n\u00e0o \u0111\u00fang?<\/h3>\n<p>C\u1ea3 hai \u0111\u1ec1u \u0111\u00fang. Ph\u00e2n ph\u1ed1i bimodal c\u00f3 hai mode, v\u00e0 c\u1ea3 hai \u0111\u1ec1u l\u00e0 c\u00e2u tr\u1ea3 l\u1eddi h\u1ee3p l\u1ec7. V\u00ed d\u1ee5: n\u1ebfu \u0111i\u1ec3m thi c\u00f3 hai nh\u00f3m th\u01b0\u1eddng g\u1eb7p l\u00e0 6 v\u00e0 9, \u0111\u00e2y c\u00f3 th\u1ec3 l\u00e0 d\u1ea5u hi\u1ec7u c\u1ee7a hai nh\u00f3m h\u1ecdc sinh c\u00f3 tr\u00ecnh \u0111\u1ed9 kh\u00e1c nhau.<\/p>\n<h3>Mode kh\u00e1c g\u00ec so v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh trong b\u00e0i to\u00e1n th\u1ef1c t\u1ebf?<\/h3>\n<p>Mean cho bi\u1ebft gi\u00e1 tr\u1ecb &#8220;t\u1ed5ng h\u1ee3p&#8221; trung b\u00ecnh c\u1ee7a to\u00e0n b\u1ed9 d\u1eef li\u1ec7u. Mode cho bi\u1ebft gi\u00e1 tr\u1ecb &#8220;ph\u1ed5 bi\u1ebfn nh\u1ea5t&#8221;. Trong b\u00e0i to\u00e1n \u0111\u1ecbnh gi\u00e1 s\u1ea3n ph\u1ea9m: mean gi\u00e1 c\u00f3 th\u1ec3 l\u00e0 350.000\u0111, nh\u01b0ng mode l\u00e0 299.000\u0111 \u2014 ngh\u0129a l\u00e0 m\u1ee9c gi\u00e1 \u0111\u01b0\u1ee3c ch\u1ecdn mua nhi\u1ec1u nh\u1ea5t l\u00e0 299.000\u0111, th\u00f4ng tin h\u1eefu \u00edch h\u01a1n cho \u0111\u1ecbnh gi\u00e1 marketing.<\/p>\n<h3>Mode c\u00f3 th\u1ec3 \u00e2m kh\u00f4ng?<\/h3>\n<p>Ho\u00e0n to\u00e0n c\u00f3 th\u1ec3. Mode ch\u1ec9 l\u00e0 gi\u00e1 tr\u1ecb xu\u1ea5t hi\u1ec7n nhi\u1ec1u nh\u1ea5t \u2014 c\u00f3 th\u1ec3 l\u00e0 s\u1ed1 \u00e2m, s\u1ed1 th\u1eadp ph\u00e2n, ho\u1eb7c b\u1ea5t k\u1ef3 gi\u00e1 tr\u1ecb n\u00e0o. V\u00ed d\u1ee5: nhi\u1ec7t \u0111\u1ed9 thay \u0111\u1ed5i h\u00e0ng ng\u00e0y th\u00e1ng 12 \u1edf H\u00e0 N\u1ed9i c\u00f3 th\u1ec3 c\u00f3 mode l\u00e0 -2\u00b0C n\u1ebfu \u0111\u00e2y l\u00e0 m\u1ee9c nhi\u1ec7t \u0111\u1ed9 xu\u1ea5t hi\u1ec7n nhi\u1ec1u ng\u00e0y nh\u1ea5t.<\/p>\n<h3>T\u1ea1i sao mode \u00edt \u0111\u01b0\u1ee3c d\u1ea1y h\u01a1n mean v\u00e0 median trong ch\u01b0\u01a1ng tr\u00ecnh ph\u1ed5 th\u00f4ng?<\/h3>\n<p>Mean v\u00e0 median c\u00f3 t\u00ednh ch\u1ea5t to\u00e1n h\u1ecdc phong ph\u00fa h\u01a1n (d\u00f9ng \u0111\u01b0\u1ee3c trong ph\u00e9p t\u00ednh ti\u1ebfp theo, c\u00f3 c\u00f4ng th\u1ee9c r\u00f5 r\u00e0ng), n\u00ean th\u01b0\u1eddng \u0111\u01b0\u1ee3c \u01b0u ti\u00ean trong gi\u00e1o d\u1ee5c ph\u1ed5 th\u00f4ng. Nh\u01b0ng trong th\u1ef1c t\u1ebf kinh doanh v\u00e0 marketing, mode th\u01b0\u1eddng quan tr\u1ecdng kh\u00f4ng k\u00e9m \u2014 \u0111\u1eb7c bi\u1ec7t v\u1edbi d\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh v\u00e0 h\u00e0nh vi ng\u01b0\u1eddi d\u00f9ng.<\/p>\n<h2>K\u1ebft Lu\u1eadn<\/h2>\n<p>Mode (y\u1ebfu v\u1ecb) l\u00e0 \u0111\u1ea1i l\u01b0\u1ee3ng th\u1ed1ng k\u00ea \u0111\u01a1n gi\u1ea3n nh\u01b0ng c\u00f3 \u1ee9ng d\u1ee5ng th\u1ef1c ti\u1ec5n s\u00e2u r\u1ed9ng, \u0111\u1eb7c bi\u1ec7t trong b\u1ed1i c\u1ea3nh d\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh ng\u00e0y c\u00e0ng ph\u1ed5 bi\u1ebfn (d\u1eef li\u1ec7u ng\u01b0\u1eddi d\u00f9ng, kh\u1ea3o s\u00e1t, h\u00e0nh vi ti\u00eau d\u00f9ng). Hi\u1ec3u r\u00f5 mode, bi\u1ebft khi n\u00e0o c\u00f3 bimodal\/multimodal, v\u00e0 so s\u00e1nh mode v\u1edbi mean\/median s\u1ebd gi\u00fap b\u1ea1n ph\u00e2n t\u00edch d\u1eef li\u1ec7u to\u00e0n di\u1ec7n h\u01a1n.<\/p>\n<p>\u0110\u1ec3 n\u1eafm tr\u1ecdn b\u1ed9 c\u00f4ng c\u1ee5 th\u1ed1ng k\u00ea m\u00f4 t\u1ea3, \u0111\u1ecdc th\u00eam v\u1ec1 <a href=\"https:\/\/1phantram.com\/blog\/phuong-sai-do-lech-chuan\/\">ph\u01b0\u01a1ng sai v\u00e0 \u0111\u1ed9 l\u1ec7ch chu\u1ea9n<\/a> \u2014 \u0111o l\u01b0\u1eddng s\u1ef1 ph\u00e2n t\u00e1n \u2014 v\u00e0 <a href=\"https:\/\/1phantram.com\/blog\/tan-suat-bang-tan-so\/\">c\u00e1ch l\u1eadp b\u1ea3ng t\u1ea7n s\u1ed1<\/a> \u0111\u1ec3 t\u1ed5 ch\u1ee9c d\u1eef li\u1ec7u tr\u01b0\u1edbc khi t\u00ecm mode. Xem th\u00eam t\u1ed5ng quan t\u1ea1i <a href=\"https:\/\/1phantram.com\/blog\/thong-ke-co-ban\/\">h\u01b0\u1edbng d\u1eabn th\u1ed1ng k\u00ea c\u01a1 b\u1ea3n<\/a>.<\/p>\n<p style=\"background:#f0f7ff;padding:15px;border-left:4px solid #0066cc;\"><strong>\ud83d\udd22 D\u00f9ng ngay c\u00f4ng c\u1ee5 t\u00ednh % t\u1ea1i <a href=\"https:\/\/1phantram.com\">1phantram.com<\/a><\/strong> \u2014 T\u00ednh t\u1ea7n su\u1ea5t t\u01b0\u01a1ng \u0111\u1ed1i (%) c\u1ee7a mode v\u00e0 c\u00e1c gi\u00e1 tr\u1ecb trong t\u1eadp d\u1eef li\u1ec7u c\u1ee7a b\u1ea1n!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mode (y\u1ebfu v\u1ecb) l\u00e0 gi\u00e1 tr\u1ecb ho\u1eb7c nh\u00f3m gi\u00e1 tr\u1ecb xu\u1ea5t hi\u1ec7n v\u1edbi t\u1ea7n s\u1ed1 cao nh\u1ea5t trong m\u1ed9t t\u1eadp d\u1eef li\u1ec7u. Trong th\u1ed1ng k\u00ea&#8230;<\/p>\n","protected":false},"author":1,"featured_media":1053,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"rank_math_title":"","rank_math_description":"","rank_math_focus_keyword":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-39","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-huong-dan"],"_links":{"self":[{"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/posts\/39","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/comments?post=39"}],"version-history":[{"count":1,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/posts\/39\/revisions"}],"predecessor-version":[{"id":50,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/posts\/39\/revisions\/50"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/media\/1053"}],"wp:attachment":[{"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/media?parent=39"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/categories?post=39"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/1phantram.com\/blog\/wp-json\/wp\/v2\/tags?post=39"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}