Question

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

Answer 1

Answer:

It is 2.91547 You could round if you want.

Step-by-step explanation:

Answer 2

Answer: 2.61

Step-by-step 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 :-

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