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Activity- statistics problems (view source)
Revision as of 15:26, 30 October 2019
, 15:26, 30 October 2019added Category:Statistics using HotCat
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|n=50
−|Σfx=660
Standard deviation σ=<math>\sqrt{\frac {\sum {fx^2}}{n}-({\frac{\sum fx}{n})^2}}</math> <br>+σ=<math>\sqrt{\frac{10700}{50}-({\frac{660}{50})^2}}</math> <br>
−σ=<math>\sqrt{214-174.24}</math> <br>
−σ=<math>\sqrt{39.96}</math> <br>
−σ=6.3
=Problem 1=
=Problem 1=
−If n =10, = 12 and
+If n =10, <math>\bar x </math> = 12 and<br>
−<math>\sum{x^2}= 1530 find the standard deviation </math> <br>
+<math>\sum{x^2}= 1530 find the standard deviation </math> <br>
=INTERPRETATION OF PROBLEM=
=INTERPRETATION OF PROBLEM=
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|32
|32
|128
|128
−|-2
+| -2
−|-8
+| -8
|4
|4
|16
|16
|-
|-
|34-38
|34-38
−|128
+|7
−|080
+|36
−|064
+|252
−|0640
+| -1
+| -7
+|1
+|7
|-
|-
|38-42
|38-42
−|-2
+|9
−|195
+|40
−|169
+|360
−|2535
+|0
+|0
+|0
+|0
|-
|-
|42-46
|42-46
−|10
+|11
−|180
+|44
−|324
+|484
−|3240
+|1
+|11
+|1
+|11
|-
|-
|46-50
|46-50
−|08
+|6
−|184
+|48
−|529
+|288
−|4232
+|2
+|12
+|4
+|24
|-
|-
|50-54
|50-54
+|3
+|52
+|156
+|3
+|9
+|9
+|27
+|-
|
|
+|n=40
|
|
+|Σfx=1668
|
|
−|
+|Σfd=17
−|
|
−|Σfx²=10710
+|Σfd²=85
|}
|}
+A=assumed average.<br>
+c=4<br>
+d=<math>\frac{x-A}{c}</math>=<math>\frac{32-40}{4}</math>=<math>\frac{-8}{4}=-2</math><br>
+
+assumed mean A=<math>\frac{\sum fx}{n}</math>=<math>\frac{1668}{40}=41.7</math><br>
+
+Varience σ²=[<math>\frac{\sum {fd^2}}{n}-({\frac{\sum fx}{n})^2}]c^2</math> <br>
+
+σ²=[<math>\frac{85}{40}-({\frac{17}{40})^2}]4^2</math> <br>
+
+σ²=[2.125-0.180]16<br>
+σ²=[1.945]16<br>
+σ²=31.12<br>
+standard deviation, σ=<math>\sqrt{varience}</math> <br>
+σ=<math>\sqrt{31.12}</math> <br>
+σ=5.58
−[[Category:Statistics]]
−