מדדי מיקום יחסי וההתפלגות הנורמלית

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<ul><li><p> : , ( ). : - 88 86 ? :</p><p>: 50 " 165 ". ? . </p></li><li><p> . </p><p> . </p><p> . </p></li><li><p> : </p><p>- / Percentiles</p><p>- Z scores </p></li><li><p> / Percentiles # .# . # . </p></li><li><p> / Percentiles # , , ( ). </p><p># . . </p><p> Px x</p></li><li><p>, P165 = 80, 80% 165 20% 165.</p></li><li><p> ?PQ1 = 25PMd = 50PQ3 = 75PQ4= 100</p></li><li><p> X . </p></li><li><p> 0 ? 20 , :P0 = CFx * 100 / n = 20*100 / 60 = 33.33, 33.33% - 66.67% . 3 ? 51 3 , :P3 = CFx * 100 / n = 51*100 / 60 = 85 , 85% 3 - 15% - 3 .</p></li><li><p> (Cp), :</p></li><li><p> ( ) Px X : X Px ( ):</p></li><li><p>l1 n "CF Fi W </p></li><li><p>: </p><p>@ - 74, ?</p></li><li><p> - 74:n*Px / 100 = 30*74 / 100 = 22.2, CF (25.5-35.5 ).</p><p>[, Cp 74% ]</p><p> : </p><p>, 35 74% - 26% . </p></li><li><p> 17 , ?</p><p> (15.5-25.5 ). :, - 9.16 9.16% - 90.84% . </p></li><li><p> : ?</p><p> ?</p></li><li><p> Z scores</p><p># [Zxi] [Xi] / [ ].# " ] , SD [ - .</p></li><li><p># :# : # , " Xi .# , . </p></li><li><p>: - 87 86 ? (X) = 88 " = 4 (Y) = 85 " = 6: </p><p> Zxi &lt; Zyi , 86 0.167 , 87 0.25 . </p></li><li><p># , . , , . # , . </p></li><li><p>: 50 " 165 ". ? (X) 155, " 8 (Y) 45, " 3, , . </p></li><li><p>- # .# , + , , . # .# " . </p></li><li><p>- # , .# , , . # = 0.</p></li><li><p>- # " = 1. </p></li><li><p> : 1. ?2. ?</p><p> . </p></li><li><p>: 1: : 1500 " 400. 11.8 3. 1700 15 . ?</p><p> 1: 0.5. - 1.067. , .</p></li><li><p>2. Z=+1.2, Z=+2. ? </p><p> 2: . .</p></li><li><p>3. : 29, 30, 33, 33, 36, 37. . . . . 3: . -1.38, -1.04, 0, 0, +1.04, +1.38. = 0, . = 1 </p></li><li><p>4. . . 70 10. 2=Z 1=Z -1 = Z . . 89. ? . ? ? </p><p> 4: . : 1.9 = Z . 80 = 10+7060 = -10+70 . </p></li><li><p>5. : , . , : ?</p><p> 5: (2 = Z), (0.83 = Z). (1.5 = Z). </p></li><li><p>6. 83 1.8. 5. . ? -1.3. ? </p><p> 6: . : 74 : 67.5 </p></li><li><p> - Normal Distribution ( Gauss) . : .- / . . , -0. - X ( + - -). = 1 (100% )., .8. .</p></li><li><p> - 2 , :</p><p> , . " ( ). </p><p>, , " ( ) . "" " .</p></li><li><p>Skewness /- : , skewness 0. , . , - 1, .Kurtosis : , . , kurtosis 0. ; kurtosis . !</p></li><li><p>' :2, 3 , . 1, 4 , .</p></li><li><p> X </p><p> - .</p><p> : </p></li><li><p>- : . , " .: - , , . </p></li><li><p> # , " " " Z". ( ).# , = 0 " = 1.# (' ), . </p></li><li><p># . , " 1- - 16, 1+ - 84.</p></li><li><p> Z , Z.</p><p> Z: Z z. , .</p><p> z z . !</p></li><li><p> 11 Z - 1.82- : . 0.9656 . 0.0344 . 0.0344- . 0.4656</p></li><li><p>1. '. . : - Z -1.82-. ( -1.82-). Z: Z Z . , 1.82-=Z 1.82=Z.</p><p> Z: Z=1.82 96.56% . Z 1.82 ( Z 1.82-) 0.9656.( 1.82-). </p></li><li><p> 2:1. IQ 100 15. 9000 IQ 85 120? . 3674 . 750 . 6143 . 6746.:'.</p></li><li><p> 3:1. . 110 30 . : . -120 ? . -180 ? . 120 -180 ? . ? . 150 , ?</p></li><li><p> 4:1. , , : . 20% . 25% . 10% . 30% 0.5. . 20% -30% </p></li><li> 4: . 20% 10% -10% . z, z 60% (50% 10% ) z=0.25 z=0.25. 20 0.25&gt;Z&gt; 0.25-. . 25% z 75% : z=0.67. 25% z=-0.67. Z&lt; 0.67-. . 10% , z 90% : z=1.28. - 10% Z&gt;1.28. . , z=0.5 (.6915) 15% -15 . .6915+0.15=0.8415. z=1 - z=0.5 0.6915-0.15=0.5415 z=0.1 0.1</li><li><p> 5, 6 5. ' : X~N(74, 6). ', 40% , ?6. -10 10. ?</p></li><li><p> 5, 61.5. 40% . , 60% : z=0.25 : 2.6. ( 0 ): , z - z=1: 0.8413. z=1: 1-0.8413=0.1587 .0.1587*100=15.87</p></li></ul>

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