Question

For the data set 7,5,10,11,12, the mean,x,is 9. What is the standard deviation

Answer 1

It is 2.91547 You could round if you want.

Explanation:

Answer 2

Answer: 2.61

Explanation:

Given data (x) : 7,5,10,11,12

Mean of the data :
`\overline{x}=9`

Number of data values : n= 5

Now,
`\sum (x-\overline{x})^2=(7-9)^2+(5-9)^2+(10-9)^2+(11-9)^2+(12-9)^2`

i.e.
`\sum (x-\overline{x})^2=34`

Now, the standard deviation for this data is given by :-

`\sigma=\sqrt{\frac{\sum  (x-\overline{x})^2}{n}}\\\\\sigma=\sqrt{(34)/(5)}=2.60768096208\approx2.61`