Question

If SS=121 from a sample of 12 data, find the following: the standard deviation (Round to the nearest tenth if necessary.)

Answer 1

Answer: 3.3

Step-by-step explanation:

Standard deviation is a value evaluated to get an idea of the extent of deviation for a group as a whole.

The formula to find the standard deviation of a sample is given by :-

$s=\sqrt{\dfrac{SS}{n-1}}$

, where SS = Sum of square distance of data points from mean

n= Sample size.

As per given , we have

SS= 121

n= 12

Put these values in formula , we get

$s=\sqrt{\dfrac{121}{12-1}}=\sqrt{\dfrac{121}{11}}=\sqrt{11}\\\\=3.31662479036\approx3.3$

Hence, the required standard deviation = 3.3