{"id":21817,"date":"2023-12-06T02:56:16","date_gmt":"2023-12-06T02:56:16","guid":{"rendered":"https:\/\/masterskills.org\/blog\/standard-deviation-la-gi-cong-thuc-tinh-va-ung-dung.html"},"modified":"2023-12-22T04:56:27","modified_gmt":"2023-12-21T21:56:27","slug":"standard-deviation-la-gi-cong-thuc-tinh-va-ung-dung","status":"publish","type":"post","link":"https:\/\/masterskills.org\/blog\/standard-deviation-la-gi-cong-thuc-tinh-va-ung-dung.html","title":{"rendered":"Standard deviation l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c t\u00ednh v\u00e0 \u1ee9ng d\u1ee5ng"},"content":{"rendered":"
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Standard deviation l\u00e0 g\u00ec<\/strong>, ngu\u1ed3n g\u1ed1c, c\u00e1ch t\u00ednh v\u00e0 \u00fd ngh\u0129a c\u1ee7a n\u00f3 trong kinh t\u1ebf\u2026 N\u1ebfu quan t\u00e2m \u0111\u1ebfn v\u1ea5n \u0111\u1ec1 n\u00e0y th\u00ec b\u00e0i vi\u1ebft sau \u0111\u00e2y d\u00e0nh cho b\u1ea1n.<\/p>\n

Standard deviation l\u00e0 g\u00ec?<\/strong><\/span><\/h2>\n

Standard deviation hay \u0111\u1ed9 l\u1ec7ch chu\u1ea9n l\u00e0 th\u01b0\u1edbc \u0111o \u0111\u1ed9 ph\u00e2n t\u00e1n c\u1ee7a m\u1ed9t t\u1eadp h\u1ee3p d\u1eef li\u1ec7u so v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ee7a n\u00f3. N\u00f3 \u0111o l\u01b0\u1eddng s\u1ef1 bi\u1ebfn thi\u00ean tuy\u1ec7t \u0111\u1ed1i c\u1ee7a m\u1ed9t ph\u00e2n ph\u1ed1i. \u0110\u1ed9 ph\u00e2n t\u00e1n ho\u1eb7c \u0111\u1ed9 bi\u1ebfn thi\u00ean c\u00e0ng cao th\u00ec \u0111\u1ed9 l\u1ec7ch chu\u1ea9n c\u00e0ng l\u1edbn v\u00e0 \u0111\u1ed9 l\u1ec7ch so v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh c\u00e0ng l\u1edbn.
Kh\u00e1i ni\u1ec7m Standard deviation \u0111\u01b0\u1ee3c Karl Pearson \u0111\u01b0a ra v\u00e0o n\u0103m 1893. Cho \u0111\u1ebfn nay, n\u00f3 l\u00e0 th\u01b0\u1edbc \u0111o \u0111\u1ed9 ph\u00e2n t\u00e1n quan tr\u1ecdng v\u00e0 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i nh\u1ea5t.\u00a0<\/p>\n

\u00dd ngh\u0129a c\u1ee7a n\u00f3 n\u1eb1m \u1edf ch\u1ed7 n\u00f3 kh\u00f4ng c\u00f3 khuy\u1ebft \u0111i\u1ec3m so v\u1edbi c\u00e1c ph\u01b0\u01a1ng ph\u00e1p tr\u01b0\u1edbc \u0111\u00f3 v\u00e0 \u0111\u00e1p \u1ee9ng h\u1ea7u h\u1ebft c\u00e1c \u0111\u1eb7c t\u00ednh c\u1ee7a m\u1ed9t th\u01b0\u1edbc \u0111o t\u1ed1t v\u1ec1 \u0111\u1ed9 ph\u00e2n t\u00e1n.\u00a0Standard deviation c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u0111\u1ed9 l\u1ec7ch b\u00ecnh ph\u01b0\u01a1ng c\u0103n b\u1eadc hai v\u00ec n\u00f3 l\u00e0 c\u0103n b\u1eadc hai c\u1ee7a \u0111\u1ed9 l\u1ec7ch b\u00ecnh ph\u01b0\u01a1ng so v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh s\u1ed1 h\u1ecdc.<\/p>\n

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\u201cV\u1ec1 m\u1eb7t t\u00e0i ch\u00ednh, \u0111\u1ed9 l\u1ec7ch chu\u1ea9n \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 \u0111o l\u01b0\u1eddng r\u1ee7i ro li\u00ean quan \u0111\u1ebfn m\u1ed9t c\u00f4ng c\u1ee5 \u0111\u1ea7u t\u01b0\u201d.<\/strong><\/em><\/p>\n<\/blockquote>\n

\u0110\u1ed9 l\u1ec7ch chu\u1ea9n cung c\u1ea5p cho c\u00e1c nh\u00e0 \u0111\u1ea7u t\u01b0 c\u01a1 s\u1edf to\u00e1n h\u1ecdc \u0111\u1ec3 \u0111\u01b0a ra c\u00e1c quy\u1ebft \u0111\u1ecbnh li\u00ean quan \u0111\u1ebfn \u0111\u1ea7u t\u01b0 c\u1ee7a h\u1ecd tr\u00ean th\u1ecb tr\u01b0\u1eddng t\u00e0i ch\u00ednh.\u00a0\u0110\u1ed9 l\u1ec7ch chu\u1ea9n l\u00e0 m\u1ed9t thu\u1eadt ng\u1eef ph\u1ed5 bi\u1ebfn \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong c\u00e1c giao d\u1ecbch li\u00ean quan \u0111\u1ebfn c\u1ed5 phi\u1ebfu, qu\u1ef9 t\u01b0\u01a1ng h\u1ed7, qu\u1ef9 \u0111\u1ea7u t\u01b0\u2026\u00a0\u0110\u1ed9 l\u1ec7ch chu\u1ea9n c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u0111\u1ed9 bi\u1ebfn \u0111\u1ed9ng.\u00a0N\u00f3 cho bi\u1ebft m\u1ee9c \u0111\u1ed9 ph\u00e2n t\u00e1n c\u1ee7a d\u1eef li\u1ec7u v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh.<\/p>\n

C\u00f4ng th\u1ee9c t\u00ednh Standard deviation ph\u1ed5 bi\u1ebfn<\/strong><\/span><\/h2>\n

\u0110\u1ed9 l\u1ec7ch chu\u1ea9n t\u1ed5ng th\u1ec3 (\u03c3), \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng khi to\u00e0n b\u1ed9 t\u1ed5ng th\u1ec3 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c \u0111o l\u01b0\u1eddng v\u00e0 l\u00e0 c\u0103n b\u1eadc hai c\u1ee7a ph\u01b0\u01a1ng sai c\u1ee7a m\u1ed9t t\u1eadp h\u1ee3p d\u1eef li\u1ec7u nh\u1ea5t \u0111\u1ecbnh. Trong tr\u01b0\u1eddng h\u1ee3p m\u1ecdi th\u00e0nh vi\u00ean c\u1ee7a m\u1ed9t t\u1eadp h\u1ee3p c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c l\u1ea5y m\u1eabu, ph\u01b0\u01a1ng tr\u00ecnh sau c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ecm \u0111\u1ed9 l\u1ec7ch chu\u1ea9n:<\/p>\n

xi l\u00e0 m\u1ed9t gi\u00e1 tr\u1ecb ri\u00eang l\u1ebb<\/p>\n

\u03bc l\u00e0 gi\u00e1 tr\u1ecb trung b\u00ecnh \/ k\u1ef3 v\u1ecdng<\/p>\n

N l\u00e0 t\u1ed5ng s\u1ed1 gi\u00e1 tr\u1ecb<\/p>\n

\u0110\u1ed1i v\u1edbi nh\u1eefng ng\u01b0\u1eddi kh\u00f4ng quen v\u1edbi k\u00fd hi\u1ec7u t\u1ed5ng h\u1ee3p, ph\u01b0\u01a1ng tr\u00ecnh tr\u00ean c\u00f3 v\u1ebb kh\u00f3 kh\u0103n, nh\u01b0ng khi \u0111\u01b0\u1ee3c gi\u1ea3i quy\u1ebft th\u00f4ng qua c\u00e1c th\u00e0nh ph\u1ea7n ri\u00eang l\u1ebb c\u1ee7a n\u00f3, vi\u1ec7c t\u1ed5ng k\u1ebft n\u00e0y kh\u00f4ng \u0111\u1eb7c bi\u1ec7t ph\u1ee9c t\u1ea1p. i = 1 trong ph\u1ea7n t\u1ed5ng k\u1ebft cho bi\u1ebft ch\u1ec9 s\u1ed1 b\u1eaft \u0111\u1ea7u, t\u1ee9c l\u00e0 \u0111\u1ed1i v\u1edbi t\u1eadp d\u1eef li\u1ec7u 1, 3, 4, 7, 8, i = 1 s\u1ebd l\u00e0 1, i = 2 s\u1ebd l\u00e0 3\u2026 Do \u0111\u00f3, k\u00fd hi\u1ec7u t\u1ed5ng ch\u1ec9 c\u00f3 ngh\u0129a l\u00e0 th\u1ef1c hi\u1ec7n ph\u00e9p to\u00e1n c\u1ee7a (xi \u2013 \u03bc2) tr\u00ean m\u1ed7i gi\u00e1 tr\u1ecb \u0111\u1ebfn N, trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y l\u00e0 5 v\u00ec c\u00f3 5 gi\u00e1 tr\u1ecb trong t\u1eadp d\u1eef li\u1ec7u n\u00e0y.<\/p>\n

V\u00ed d\u1ee5, \u03bc = (1 + 3 + 4 + 7 + 8) \/ 5 = 4,6<\/p>\n

\u03c3 = \u221a [(1 \u2013 4,6) 2 + (3 \u2013 4,6) 2 + \u2026 + (8 \u2013 4,6) 2)] \/ 5<\/p>\n

\u03c3 = \u221a (12,96 + 2,56 + 0,36 + 5,76 + 11,56) \/ 5 = 2,577<\/p>\n

Standard deviation \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng th\u1ebf n\u00e0o trong th\u1ef1c t\u1ebf?<\/strong><\/span><\/h2>\n

B\u1ea1n c\u00f3 th\u1eafc m\u1eafc c\u00e1c l\u0129nh v\u1ef1c \u1ee9ng d\u1ee5ng Standard deviation l\u00e0 g\u00ec? D\u01b0\u1edbi \u0111\u00e2y l\u00e0 3 l\u0129nh v\u1ef1c th\u01b0\u1eddng \u1ee9ng d\u1ee5ng Standard deviation \u2013 \u0111\u1ed9 l\u1ec7ch chu\u1ea9n.<\/p>\n

Ki\u1ec3m so\u00e1t ch\u1ea5t l\u01b0\u1ee3ng s\u1ea3n ph\u1ea9m<\/strong><\/span><\/h3>\n

Standard deviation \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i trong c\u00e1c c\u01a1 s\u1edf th\u1ef1c nghi\u1ec7m v\u00e0 c\u00f4ng nghi\u1ec7p \u0111\u1ec3 ki\u1ec3m tra c\u00e1c m\u00f4 h\u00ecnh d\u1ef1a tr\u00ean d\u1eef li\u1ec7u trong th\u1ebf gi\u1edbi th\u1ef1c. M\u1ed9t v\u00ed d\u1ee5 v\u1ec1 \u0111i\u1ec1u n\u00e0y trong c\u00e1c \u1ee9ng d\u1ee5ng c\u00f4ng nghi\u1ec7p l\u00e0 ki\u1ec3m so\u00e1t ch\u1ea5t l\u01b0\u1ee3ng \u0111\u1ed1i v\u1edbi m\u1ed9t s\u1ed1 s\u1ea3n ph\u1ea9m. \u0110\u1ed9 l\u1ec7ch chu\u1ea9n c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ednh to\u00e1n gi\u00e1 tr\u1ecb t\u1ed1i thi\u1ec3u v\u00e0 l\u1edbn nh\u1ea5t m\u00e0 trong \u0111\u00f3 m\u1ed9t s\u1ed1 kh\u00eda c\u1ea1nh c\u1ee7a s\u1ea3n ph\u1ea9m c\u1ea7n gi\u1ea3m th\u1eddi gian.<\/p>\n

Trong tr\u01b0\u1eddng h\u1ee3p c\u00e1c gi\u00e1 tr\u1ecb n\u1eb1m ngo\u00e0i ph\u1ea1m vi t\u00ednh to\u00e1n, c\u00f3 th\u1ec3 c\u1ea7n th\u1ef1c hi\u1ec7n c\u00e1c thay \u0111\u1ed5i \u0111\u1ed1i v\u1edbi quy tr\u00ecnh s\u1ea3n xu\u1ea5t \u0111\u1ec3 \u0111\u1ea3m b\u1ea3o ki\u1ec3m so\u00e1t ch\u1ea5t l\u01b0\u1ee3ng.<\/p>\n

D\u1ef1 b\u00e1o th\u1eddi ti\u1ebft<\/strong><\/span><\/h3>\n

\u0110\u1ed9 l\u1ec7ch chu\u1ea9n c\u0169ng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong th\u1eddi ti\u1ebft \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh s\u1ef1 kh\u00e1c bi\u1ec7t trong kh\u00ed h\u1eadu khu v\u1ef1c. H\u00e3y t\u01b0\u1edfng t\u01b0\u1ee3ng hai th\u00e0nh ph\u1ed1, m\u1ed9t tr\u00ean b\u1edd bi\u1ec3n v\u00e0 m\u1ed9t s\u00e2u trong \u0111\u1ea5t li\u1ec1n, c\u00f3 c\u00f9ng nhi\u1ec7t \u0111\u1ed9 trung b\u00ecnh l\u00e0 37o C. M\u1eb7c d\u00f9 \u0111i\u1ec1u n\u00e0y c\u00f3 th\u1ec3 khi\u1ebfn ch\u00fang ta tin r\u1eb1ng nhi\u1ec7t \u0111\u1ed9 c\u1ee7a hai th\u00e0nh ph\u1ed1 n\u00e0y h\u1ea7u nh\u01b0 gi\u1ed1ng nhau, nh\u01b0ng th\u1ef1c t\u1ebf c\u00f3 th\u1ec3 kh\u00e1c n\u1ebfu ch\u1ec9 \u0111\u1ec1 c\u1eadp \u0111\u1ebfn gi\u00e1 tr\u1ecb trung b\u00ecnh v\u00e0 b\u1ecf qua \u0111\u1ed9 l\u1ec7ch chu\u1ea9n.<\/p>\n

C\u00e1c th\u00e0nh ph\u1ed1 ven bi\u1ec3n c\u00f3 xu h\u01b0\u1edbng c\u00f3 nhi\u1ec7t \u0111\u1ed9 \u1ed5n \u0111\u1ecbnh h\u01a1n nhi\u1ec1u do \u0111\u01b0\u1ee3c \u0111i\u1ec1u ch\u1ec9nh b\u1edfi c\u00e1c kh\u1ed1i n\u01b0\u1edbc l\u1edbn, v\u00ec n\u01b0\u1edbc c\u00f3 nhi\u1ec7t dung cao h\u01a1n \u0111\u1ea5t li\u1ec1n. V\u1ec1 c\u01a1 b\u1ea3n, \u0111i\u1ec1u n\u00e0y l\u00e0m cho n\u01b0\u1edbc \u00edt b\u1ecb \u1ea3nh h\u01b0\u1edfng b\u1edfi s\u1ef1 thay \u0111\u1ed5i nhi\u1ec7t \u0111\u1ed9 v\u00e0 c\u00e1c khu v\u1ef1c ven bi\u1ec3n v\u1eabn \u1ea5m h\u01a1n v\u00e0o m\u00f9a \u0111\u00f4ng v\u00e0 m\u00e1t h\u01a1n v\u00e0o m\u00f9a h\u00e8 do l\u01b0\u1ee3ng n\u0103ng l\u01b0\u1ee3ng c\u1ea7n thi\u1ebft \u0111\u1ec3 thay \u0111\u1ed5i nhi\u1ec7t \u0111\u1ed9 c\u1ee7a n\u01b0\u1edbc. V\u00ec th\u1ebf, trong khi th\u00e0nh ph\u1ed1 ven bi\u1ec3n c\u00f3 th\u1ec3 c\u00f3 nhi\u1ec7t \u0111\u1ed9 dao \u0111\u1ed9ng t\u1eeb 30oC \u0111\u1ebfn 45oC trong m\u1ed9t kho\u1ea3ng th\u1eddi gian nh\u1ea5t \u0111\u1ecbnh \u0111\u1ec3 d\u1eabn \u0111\u1ebfn trung b\u00ecnh l\u00e0 37oC, th\u00ec m\u1ed9t th\u00e0nh ph\u1ed1 trong \u0111\u1ea5t li\u1ec1n c\u00f3 th\u1ec3 c\u00f3 nhi\u1ec7t \u0111\u1ed9 dao \u0111\u1ed9ng t\u1eeb 19oC \u0111\u1ebfn 50oC d\u1eabn \u0111\u1ebfn c\u00f9ng m\u1ed9t gi\u00e1 tr\u1ecb trung b\u00ecnh.<\/p>\n

Kinh t\u1ebf t\u00e0i ch\u00ednh<\/strong><\/span><\/h3>\n

M\u1ed9t l\u0129nh v\u1ef1c kh\u00e1c m\u00e0 \u0111\u1ed9 l\u1ec7ch chu\u1ea9n \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng ch\u1ee7 y\u1ebfu l\u00e0 t\u00e0i ch\u00ednh, n\u01a1i n\u00f3 th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 \u0111o l\u01b0\u1eddng r\u1ee7i ro li\u00ean quan trong bi\u1ebfn \u0111\u1ed9ng gi\u00e1 c\u1ee7a m\u1ed9t s\u1ed1 t\u00e0i s\u1ea3n. Vi\u1ec7c s\u1eed d\u1ee5ng \u0111\u1ed9 l\u1ec7ch chu\u1ea9n trong nh\u1eefng tr\u01b0\u1eddng h\u1ee3p n\u00e0y cung c\u1ea5p m\u1ed9t \u01b0\u1edbc t\u00ednh v\u1ec1 s\u1ef1 kh\u00f4ng ch\u1eafc ch\u1eafn c\u1ee7a l\u1ee3i nhu\u1eadn trong t\u01b0\u01a1ng lai \u0111\u1ed1i v\u1edbi m\u1ed9t kho\u1ea3n \u0111\u1ea7u t\u01b0 nh\u1ea5t \u0111\u1ecbnh.<\/p>\n

V\u00ed d\u1ee5, khi so s\u00e1nh c\u1ed5 phi\u1ebfu A c\u00f3 l\u1ee3i nhu\u1eadn trung b\u00ecnh l\u00e0 7% v\u1edbi \u0111\u1ed9 l\u1ec7ch chu\u1ea9n 10% so v\u1edbi c\u1ed5 phi\u1ebfu B, c\u00f3 c\u00f9ng m\u1ee9c l\u1ee3i nhu\u1eadn trung b\u00ecnh nh\u01b0ng \u0111\u1ed9 l\u1ec7ch chu\u1ea9n l\u00e0 50%, c\u1ed5 phi\u1ebfu \u0111\u1ea7u ti\u00ean r\u00f5 r\u00e0ng s\u1ebd l\u00e0 l\u1ef1a ch\u1ecdn an to\u00e0n h\u01a1n, v\u00ec \u0111\u1ed9 l\u1ec7ch chu\u1ea9n c\u1ee7a c\u1ed5 phi\u1ebfu B l\u1edbn h\u01a1n \u0111\u00e1ng k\u1ec3, cho c\u00f9ng m\u1ed9t m\u1ee9c l\u1ee3i nhu\u1eadn. \u0110i\u1ec1u \u0111\u00f3 kh\u00f4ng c\u00f3 ngh\u0129a l\u00e0 c\u1ed5 phi\u1ebfu A ch\u1eafc ch\u1eafn l\u00e0 m\u1ed9t l\u1ef1a ch\u1ecdn \u0111\u1ea7u t\u01b0 t\u1ed1t h\u01a1n trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y, v\u00ec \u0111\u1ed9 l\u1ec7ch chu\u1ea9n c\u00f3 th\u1ec3 l\u00e0m l\u1ec7ch gi\u00e1 tr\u1ecb trung b\u00ecnh theo m\u1ed9t trong hai h\u01b0\u1edbng.<\/p>\n

\u0110\u00e2y ch\u1ec9 l\u00e0 m\u1ed9t v\u00e0i v\u00ed d\u1ee5 v\u1ec1 c\u00e1ch ng\u01b0\u1eddi ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng \u0111\u1ed9 l\u1ec7ch chu\u1ea9n, nh\u01b0ng c\u00f2n nhi\u1ec1u v\u00ed d\u1ee5 kh\u00e1c t\u1ed3n t\u1ea1i. N\u00f3i chung, vi\u1ec7c t\u00ednh to\u00e1n \u0111\u1ed9 l\u1ec7ch chu\u1ea9n c\u00f3 gi\u00e1 tr\u1ecb b\u1ea5t c\u1ee9 l\u00fac n\u00e0o m\u00e0 ng\u01b0\u1eddi ta mu\u1ed1n bi\u1ebft gi\u00e1 tr\u1ecb \u0111i\u1ec3n h\u00ecnh c\u00f3 th\u1ec3 \u1edf bao xa so v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh t\u1eeb m\u1ed9t ph\u00e2n ph\u1ed1i.<\/p>\n

Qua nh\u1eefng chia s\u1ebb tr\u00ean \u0111\u00e2y mong r\u1eb1ng b\u1ea1n \u0111\u00e3 hi\u1ec3u \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a Standard deviation l\u00e0 g\u00ec v\u00e0 c\u00e1c l\u0129nh v\u1ef1c m\u00e0 ch\u00fang \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng.<\/p>\n

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

<\/p>\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"

Standard deviation l\u00e0 g\u00ec<\/strong>, ngu\u1ed3n g\u1ed1c, c\u00e1ch t\u00ednh v\u00e0 \u00fd ngh\u0129a c\u1ee7a n\u00f3 trong kinh t\u1ebf\u2026 N\u1ebfu quan t\u00e2m \u0111\u1ebfn v\u1ea5n \u0111\u1ec1 n\u00e0y th\u00ec b\u00e0i vi\u1ebft sau \u0111\u00e2y d\u00e0nh cho b\u1ea1n.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[429],"tags":[],"_links":{"self":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts\/21817"}],"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=21817"}],"version-history":[{"count":0,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts\/21817\/revisions"}],"wp:attachment":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/media?parent=21817"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/categories?post=21817"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/tags?post=21817"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}