Question

step 3 find the mean of all the squared deviations step 4 take the square root of the mean of the squared deviations

Answer 1

Explanation

Step 3: Find the mean of all squared deviations.

$\operatorname{mean}\text{ squared deviation }=\frac{25+25+0+4+4+0}{6}=\frac{58}{6}=9.67$

Step 4: Take the square root of the mean of the squared deviations (from step 3)

$\text{standard deviation }=\sqrt[]{mean\text{ squared deviation}}=\sqrt[]{9.67}=3.11$

Note that the average distance between individual data values and the mean is simply called standard deviation.

Therefore the average distance between individual data values and the mean is 3.11