{"id":40802,"date":"2024-11-04T12:20:33","date_gmt":"2024-11-04T12:20:33","guid":{"rendered":"https:\/\/atmokpo.com\/w\/?p=40802"},"modified":"2024-11-26T06:38:24","modified_gmt":"2024-11-26T06:38:24","slug":"13-z-%ec%a0%90%ec%88%98z-score%ec%99%80-%ed%91%9c%ec%a4%80%ed%99%94standardization-z-%ec%a0%90%ec%88%98%eb%a5%bc-%ed%86%b5%ed%95%b4-%eb%8d%b0%ec%9d%b4%ed%84%b0%eb%a5%bc-%ed%91%9c%ec%a4%80","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/40802\/","title":{"rendered":"13.Z-\uc810\uc218(Z-Score)\uc640 \ud45c\uc900\ud654(Standardization), Z-\uc810\uc218\ub97c \ud1b5\ud574 \ub370\uc774\ud130\ub97c \ud45c\uc900\ud654\ud558\ub294 \ubc29\ubc95"},"content":{"rendered":"<article>\n<p>\ud1b5\uacc4\ud559\uc5d0\uc11c Z-\uc810\uc218\ub294 \ub370\uc774\ud130\uc758 \uc704\uce58\ub97c \uc774\ud574\ud558\ub294 \ub370 \ud544\uc218\uc801\uc778 \ub3c4\uad6c\uc785\ub2c8\ub2e4. Z-\uc810\uc218\ub294 \uad00\uce21\uac12\uc774 \ud3c9\uade0\uc73c\ub85c\ubd80\ud130 \uc5bc\ub9c8\ub098 \ub5a8\uc5b4\uc838 \uc788\ub294\uc9c0\ub97c \ub098\ud0c0\ub0b4\uba70, \uc774\ub97c \ud1b5\ud574 \ub2e4\uc591\ud55c \ub370\uc774\ud130\ub97c \ube44\uad50\ud560 \uc218 \uc788\uac8c \ud574\uc90d\ub2c8\ub2e4. \ubcf8 \uac15\uc88c\uc5d0\uc11c\ub294 Z-\uc810\uc218\uc758 \uc815\uc758, \uacc4\uc0b0 \ubc29\ubc95, \ud45c\uc900\ud654\uc758 \ud544\uc694\uc131 \ubc0f \uc2e4\uc81c\uc801\uc778 \ud65c\uc6a9 \uc608\uc81c \ub4f1\uc744 \uc790\uc138\ud788 \uc124\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<h2>1. Z-\uc810\uc218\ub780 \ubb34\uc5c7\uc778\uac00?<\/h2>\n<p>Z-\uc810\uc218\ub294 \uc5b4\ub5a4 \uac12\uc774 \uc8fc\uc5b4\uc9c4 \ub370\uc774\ud130 \uc9d1\ud569\uc758 \ud3c9\uade0\uc73c\ub85c\ubd80\ud130 \uba87 \ud45c\uc900\ud3b8\ucc28 \ub5a8\uc5b4\uc838 \uc788\ub294\uc9c0\ub97c \uce21\uc815\ud558\ub294 \ud1b5\uacc4\uc801 \uc9c0\ud45c\uc785\ub2c8\ub2e4. Z-\uc810\uc218\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \uc218\uc2dd\uc73c\ub85c \uacc4\uc0b0\ub429\ub2c8\ub2e4:<\/p>\n<pre>Z = (X - \u03bc) \/ \u03c3<\/pre>\n<p>\uc5ec\uae30\uc11c:<\/p>\n<ul>\n<li><strong>X<\/strong> &#8211; \ud2b9\uc815 \uad00\uce21\uac12<\/li>\n<li><strong>\u03bc<\/strong> &#8211; \ub370\uc774\ud130 \uc9d1\ud569\uc758 \ud3c9\uade0<\/li>\n<li><strong>\u03c3<\/strong> &#8211; \ub370\uc774\ud130 \uc9d1\ud569\uc758 \ud45c\uc900\ud3b8\ucc28<\/li>\n<\/ul>\n<p>Z-\uc810\uc218\ub294 \ud3c9\uade0\uc774 0\uc778 \uc815\uaddc \ubd84\ud3ec\uc5d0\uc11c\uc758 \uad00\uce21\uac12\uc758 \uc0c1\ub300\uc801\uc778 \uc704\uce58\ub97c \ub098\ud0c0\ub0b4\uba70, \ub2e4\uc74c\uacfc \uac19\uc740 \ub450 \uac00\uc9c0 \uc911\uc694\ud55c \uc18d\uc131\uc744 \uac00\uc9c0\uace0 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n<ul>\n<li>\uc74c\uc218\uc758 Z-\uc810\uc218\ub294 \uad00\uce21\uac12\uc774 \ud3c9\uade0\ubcf4\ub2e4 \ub0ae\uc74c\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4.<\/li>\n<li>\uc591\uc218\uc758 Z-\uc810\uc218\ub294 \uad00\uce21\uac12\uc774 \ud3c9\uade0\ubcf4\ub2e4 \ub192\uc74c\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4.<\/li>\n<\/ul>\n<h2>2. \ud45c\uc900\ud654\uc758 \ud544\uc694\uc131<\/h2>\n<p>\ub370\uc774\ud130\ub97c \ubd84\uc11d\ud560 \ub54c, \uc11c\ub85c \ub2e4\ub978 \ub2e8\uc704\ub97c \uac00\uc9c4 \ub370\uc774\ud130 \uc9d1\ud569\uc744 \ube44\uad50\ud558\ub294 \uac83\uc740 \ub9e4\uc6b0 \uc5b4\ub824\uc6b4 \uc77c\uc785\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \uccb4\uc911(kg)\uacfc \uc2e0\uc7a5(cm)\uc758 \ub370\uc774\ud130\ub97c \ube44\uad50\ud558\uace0\uc790 \ud560 \ub54c, \uc11c\ub85c \ub2e4\ub978 \ub2e8\uc704\uc5d0\uc11c \uc9c1\uc811 \ube44\uad50\ud558\ub294 \uac83\uc740 \ub17c\ub9ac\uc801\uc774\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4. \uc774\ub7ec\ud55c \uacbd\uc6b0, \ub370\uc774\ud130 \uc810\uc744 \ub3d9\uc77c\ud55c \uae30\uc900\uc73c\ub85c \ubcc0\ud658\ud558\uc5ec \ube44\uad50\ud560 \uc218 \uc788\ub3c4\ub85d \ud558\ub294 \uacfc\uc815\uc774 \ud544\uc694\ud558\uba70, \uc774\ub97c <strong>\ud45c\uc900\ud654<\/strong>\ub77c\uace0 \ud569\ub2c8\ub2e4.<\/p>\n<p>\ud45c\uc900\ud654\ub294 \ub370\uc774\ud130\uc758 \ud3c9\uade0\uc744 0, \ud45c\uc900\ud3b8\ucc28\ub97c 1\ub85c \ubcc0\ud654\uc2dc\ud0a4\ub294 \uacfc\uc815\uc785\ub2c8\ub2e4. \uc774\ub294 Z-\uc810\uc218\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc218\ud589\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub370\uc774\ud130\uac00 \ud45c\uc900\ud654\ub418\uba74, \uc11c\ub85c \ub2e4\ub978 \ub370\uc774\ud130 \uac04\uc5d0\ub3c4 \ube44\uad50\uac00 \uac00\ub2a5\ud574\uc9d1\ub2c8\ub2e4. \ud45c\uc900\ud654\uc758 \uc8fc\uc694 \ubaa9\uc801\uc740:<\/p>\n<ul>\n<li>\uac01 \ub370\uc774\ud130\uac00 \uc11c\ub85c \ub3d9\uc77c\ud55c \ucc99\ub3c4\uc5d0\uc11c \ube44\uad50 \uac00\ub2a5\ud558\uac8c \ud558\uae30 \uc704\ud568<\/li>\n<li>\ubaa8\ub378\uc758 \uc218\ub834 \uc18d\ub3c4\ub97c \ub192\uc774\uace0, \ud559\uc2b5 \ub2a5\ub825\uc744 \ud5a5\uc0c1\uc2dc\ud0a4\uae30 \uc704\ud568<\/li>\n<\/ul>\n<h2>3. Z-\uc810\uc218\ub97c \ud1b5\ud55c \ub370\uc774\ud130 \ud45c\uc900\ud654 \ubc29\ubc95<\/h2>\n<p>\ub370\uc774\ud130 \uc9d1\ud569\uc744 \ud45c\uc900\ud654\ud558\uae30 \uc704\ud574\uc11c\ub294 \uba3c\uc800 \ud3c9\uade0\uacfc \ud45c\uc900\ud3b8\ucc28\ub97c \uacc4\uc0b0\ud574\uc57c \ud569\ub2c8\ub2e4. \ub370\uc774\ud130 \uc9d1\ud569\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, Z-\uc810\uc218\ub97c \uc0ac\uc6a9\ud558\uc5ec \ud45c\uc900\ud654\ud558\ub294 \uc808\ucc28\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n<h3>3.1. \ub370\uc774\ud130\uc758 \ud3c9\uade0 \uacc4\uc0b0\ud558\uae30<\/h3>\n<p>\ub370\uc774\ud130 \uc9d1\ud569\uc758 \ud3c9\uade0\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n<pre>\u03bc = (\u03a3X) \/ N<\/pre>\n<p>\uc5ec\uae30\uc11c:<\/p>\n<ul>\n<li><strong>\u03a3X<\/strong> &#8211; \ub370\uc774\ud130 \uac12\ub4e4\uc758 \ud569<\/li>\n<li><strong>N<\/strong> &#8211; \ub370\uc774\ud130\uc758 \uac1c\uc218<\/li>\n<\/ul>\n<h3>3.2. \ub370\uc774\ud130\uc758 \ud45c\uc900\ud3b8\ucc28 \uacc4\uc0b0\ud558\uae30<\/h3>\n<p>\ub370\uc774\ud130 \uc9d1\ud569\uc758 \ud45c\uc900\ud3b8\ucc28\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uacc4\uc0b0\ub429\ub2c8\ub2e4:<\/p>\n<pre>\u03c3 = \u221a(\u03a3(X - \u03bc)\u00b2 \/ N)<\/pre>\n<h3>3.3. Z-\uc810\uc218 \uacc4\uc0b0\ud558\uae30<\/h3>\n<p>\uac01 \ub370\uc774\ud130\ub97c \ud45c\uc900\ud654\ud558\uae30 \uc704\ud574 \uc704\uc758 Z-\uc810\uc218 \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud569\ub2c8\ub2e4:<\/p>\n<pre>Z = (X - \u03bc) \/ \u03c3<\/pre>\n<h2>4. Z-\uc810\uc218\ub97c \ud65c\uc6a9\ud55c \uc608\uc81c<\/h2>\n<p>\uc774\uc81c \uc2e4\ub840\ub97c \ud1b5\ud574 Z-\uc810\uc218\ub97c \uacc4\uc0b0\ud558\uace0 \uc774\ub97c \ud1b5\ud55c \ub370\uc774\ud130 \ud45c\uc900\ud654\ub97c \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<h3>4.1. \uc608\uc81c \ub370\uc774\ud130 \uc9d1\ud569<\/h3>\n<p>\uac00\uc0c1\uc758 \ub370\uc774\ud130 \uc9d1\ud569\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud559\uc0dd\ub4e4\uc758 \uc2dc\ud5d8 \uc131\uc801\uc744 \ub098\ud0c0\ub0b4\uaca0\uc2b5\ub2c8\ub2e4. \ub2e4\uc74c\uc740 10\uba85\uc758 \ud559\uc0dd \uc131\uc801\uc785\ub2c8\ub2e4:<\/p>\n<pre>[85, 90, 95, 100, 80, 70, 60, 75, 88, 92]<\/pre>\n<h3>4.2. \ud3c9\uade0\uacfc \ud45c\uc900\ud3b8\ucc28 \uacc4\uc0b0\ud558\uae30<\/h3>\n<p>\uc774 \uc131\uc801\uc758 \ud3c9\uade0\uacfc \ud45c\uc900\ud3b8\ucc28\ub97c \uacc4\uc0b0\ud574 \ubd05\uc2dc\ub2e4.<\/p>\n<h4>1\ub2e8\uacc4: \ud3c9\uade0 \uacc4\uc0b0<\/h4>\n<pre>\u03bc = (85 + 90 + 95 + 100 + 80 + 70 + 60 + 75 + 88 + 92) \/ 10 = 83.75<\/pre>\n<h4>2\ub2e8\uacc4: \ud45c\uc900\ud3b8\ucc28 \uacc4\uc0b0<\/h4>\n<p>\uac01 \uc131\uc801\uc5d0\uc11c \ud3c9\uade0\uc744 \ube7c\uace0 \uc81c\uacf1\ud55c \ud6c4 \ud3c9\uade0\uc744 \uad6c\ud55c \uac12\uc744 \uc81c\uacf1\uadfc\ud569\ub2c8\ub2e4.<\/p>\n<pre>\u03c3 = \u221a(((85-83.75)\u00b2 + (90-83.75)\u00b2 + ... + (92-83.75)\u00b2) \/ 10)<\/pre>\n<h3>4.3. \uac01 \uc131\uc801\uc758 Z-\uc810\uc218 \uacc4\uc0b0\ud558\uae30<\/h3>\n<p>\uc774\uc81c \uac01 \uc131\uc801\uc5d0 \ub300\ud574 Z-\uc810\uc218\ub97c \uacc4\uc0b0\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4:<\/p>\n<pre>Z = (X - \u03bc) \/ \u03c3<\/pre>\n<h4>\uc608\uc81c \uacb0\uacfc<\/h4>\n<p>\uc704\uc758 \uacc4\uc0b0\uc744 \ud1b5\ud574 \uac01 \ud559\uc0dd\uc758 \uc131\uc801\uc5d0 \ub300\ud55c Z-\uc810\uc218\ub97c \uad6c\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n<pre>\n    Student | Score | Z-Score\n    --------|-------|---------\n    1       | 85    | Z1\n    2       | 90    | Z2\n    3       | 95    | Z3\n    4       | 100   | Z4\n    5       | 80    | Z5\n    6       | 70    | Z6\n    7       | 60    | Z7\n    8       | 75    | Z8\n    9       | 88    | Z9\n    10      | 92    | Z10\n    <\/pre>\n<h2>5. Z-\uc810\uc218\uc758 \ud574\uc11d<\/h2>\n<p>\uac01 \ud559\uc0dd\uc758 Z-\uc810\uc218\uac00 \uacc4\uc0b0\ub418\uba74, \uc774\ub97c \ud1b5\ud574 \ud559\uc0dd\ub4e4\uc758 \uc131\uc801\uc744 \ube44\uad50\ud558\uace0 \ud574\uc11d\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. Z-\uc810\uc218\uac00 0\uc5d0 \uac00\uae4c\uc6b4 \uacbd\uc6b0, \ud574\ub2f9 \ud559\uc0dd\uc774 \ud3c9\uade0\uc801\uc778 \uc131\uc801\uc744 \ubcf4\uc774\uace0 \uc788\ub2e4\ub294 \uac83\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4. \ubc18\uba74\uc5d0 \uc591\uc218\uc778 \uacbd\uc6b0, \ud574\ub2f9 \ud559\uc0dd\uc774 \ud3c9\uade0\ubcf4\ub2e4 \ub192\uc740 \uc131\uc801\uc744 \uc5bb\uc5c8\ub2e4\ub294 \uac83\uc744 \uc758\ubbf8\ud558\uace0, \uc74c\uc218\uc778 \uacbd\uc6b0 \ubc18\ub300\ub85c \ud3c9\uade0\ubcf4\ub2e4 \ub0ae\uc740 \uc131\uc801\uc744 \ub098\ud0c0\ub0c5\ub2c8\ub2e4.<\/p>\n<h2>6. \uacb0\ub860<\/h2>\n<p>Z-\uc810\uc218\uc640 \ud45c\uc900\ud654\ub294 \ub370\uc774\ud130 \ubd84\uc11d\uc5d0\uc11c \ub9e4\uc6b0 \uc911\uc694\ud55c \uac1c\ub150\uc785\ub2c8\ub2e4. Z-\uc810\uc218\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc11c\ub85c \ub2e4\ub978 \ub370\uc774\ud130 \uc9d1\ud569\uc744 \ube44\uad50 \uac00\ub2a5\ud558\uac8c \ub9cc\ub4e4\uace0, \ubaa8\ub378\uc758 \uc131\ub2a5\uc744 \ub192\uc774\ub294 \ub370 \ud65c\uc6a9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ubcf8 \uac15\uc88c\ub97c \ud1b5\ud574 Z-\uc810\uc218\uc758 \uc815\uc758, \uacc4\uc0b0\ubc95, \uadf8\ub9ac\uace0 \uc774\ub97c \ud1b5\ud55c \ud45c\uc900\ud654\uc758 \uacfc\uc815\uc744 \uc0b4\ud3b4\ubcf4\uc558\uc2b5\ub2c8\ub2e4. \uc774\ub7ec\ud55c \uc9c0\uc2dd\uc740 \ud5a5\ud6c4 \ub370\uc774\ud130 \ubd84\uc11d \ubc0f \ud1b5\uacc4\uc801 \uc5f0\uad6c\uc5d0 \ud070 \ub3c4\uc6c0\uc774 \ub420 \uac83\uc785\ub2c8\ub2e4.<\/p>\n<h2>\ubd80\ub85d: Z-\uc810\uc218 \uacc4\uc0b0\uc744 \uc704\ud55c Python \ucf54\ub4dc \uc608\uc81c<\/h2>\n<pre><code>\nimport numpy as np\n\n# \ud559\uc0dd \uc131\uc801 \ub370\uc774\ud130\nscores = np.array([85, 90, 95, 100, 80, 70, 60, 75, 88, 92])\n\n# \ud3c9\uade0\uacfc \ud45c\uc900\ud3b8\ucc28 \uacc4\uc0b0\nmean = np.mean(scores)\nstd_dev = np.std(scores)\n\n# Z-\uc810\uc218 \uacc4\uc0b0\nz_scores = (scores - mean) \/ std_dev\n\nprint(\"\uac01 \ud559\uc0dd\uc758 Z-\uc810\uc218:\\n\", z_scores)\n<\/code><\/pre>\n<p>\uc704 \ucf54\ub4dc\ub97c \ud1b5\ud574 Python \ud658\uacbd\uc5d0\uc11c\ub3c4 \uac04\ud3b8\ud558\uac8c Z-\uc810\uc218\ub97c \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub370\uc774\ud130\uc5d0 \ub300\ud55c \ud45c\uc900\ud654\ub294 \ub370\uc774\ud130 \ubd84\uc11d\uc758 \uae30\ubcf8\uc774\uba70, \uc774\ub97c \ud1b5\ud574 \uc5bb\uc740 \ud1b5\ucc30\ub825\uc740 \uc758\uc0ac \uacb0\uc815 \uacfc\uc815\uc5d0 \ud070 \uc601\ud5a5\uc744 \ubbf8\uce60 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<\/article>\n","protected":false},"excerpt":{"rendered":"<p>\ud1b5\uacc4\ud559\uc5d0\uc11c Z-\uc810\uc218\ub294 \ub370\uc774\ud130\uc758 \uc704\uce58\ub97c \uc774\ud574\ud558\ub294 \ub370 \ud544\uc218\uc801\uc778 \ub3c4\uad6c\uc785\ub2c8\ub2e4. Z-\uc810\uc218\ub294 \uad00\uce21\uac12\uc774 \ud3c9\uade0\uc73c\ub85c\ubd80\ud130 \uc5bc\ub9c8\ub098 \ub5a8\uc5b4\uc838 \uc788\ub294\uc9c0\ub97c \ub098\ud0c0\ub0b4\uba70, \uc774\ub97c \ud1b5\ud574 \ub2e4\uc591\ud55c \ub370\uc774\ud130\ub97c \ube44\uad50\ud560 \uc218 \uc788\uac8c \ud574\uc90d\ub2c8\ub2e4. \ubcf8 \uac15\uc88c\uc5d0\uc11c\ub294 Z-\uc810\uc218\uc758 \uc815\uc758, \uacc4\uc0b0 \ubc29\ubc95, \ud45c\uc900\ud654\uc758 \ud544\uc694\uc131 \ubc0f \uc2e4\uc81c\uc801\uc778 \ud65c\uc6a9 \uc608\uc81c \ub4f1\uc744 \uc790\uc138\ud788 \uc124\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4. 1. Z-\uc810\uc218\ub780 \ubb34\uc5c7\uc778\uac00? 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