Find the standard deviation for the following data.
xi38131823fi71015106
Let us form the following table
x1fixifixi 2fixi 23721963810806464013151951692535181018032432402361385293174486149652
Now, by formula
σ=(1/N)√N∑fix2i−(∑fixi)2
=(1/48)√48×9652−(614)2
=(1/48)√463296−376996
=148×293.77
=6.12
Therefore, standard deviation is 6.12