Explanation
Step 3: Find the mean of all squared deviations.
[tex]\operatorname{mean}\text{ squared deviation }=\frac{25+25+0+4+4+0}{6}=\frac{58}{6}=9.67[/tex]
Step 4: Take the square root of the mean of the squared deviations (from step 3)
[tex]\text{standard deviation }=\sqrt[]{mean\text{ squared deviation}}=\sqrt[]{9.67}=3.11[/tex]
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
