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Question

Find the standard deviation for the following data.

xi38131823fi71015106

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Solution

Let us form the following table

x1fixifixi 2fixi 23721963810806464013151951692535181018032432402361385293174486149652

Now, by formula

σ=(1/N)Nfix2i(fixi)2
=(1/48)48×9652(614)2
=(1/48)463296376996
=148×293.77
=6.12

Therefore, standard deviation is 6.12


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