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Question

Find the standard deviation for the following data:
xi38131823fi71015106

A
5.37
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B
15.92
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C
6.12
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D
13.87
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Solution

The correct option is C 6.12
Applying assumed mean method to calculate the standard deviation, and assuming the mean to be 0 we get:
xififixix2ifix2i3721963810806464013151951692535181018032432402361385293174Total48614 9652
Now, σ=1NNfix2i(fixi)2=14848×9652(614)2=148×293.77=6.12

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