Question

Find the sum of deviations of all the observations of the data 4 , 10 , 23 , 12 ,14 , 21 from their mean.

• A. 1
• B. 0.0
• C. 14
• D. -4

Answer 1

The correct option is B 0.0

Given data : - 4 , 10 , 23 , 12 ,14 , 21

Mean of the data = $\frac{4+10+23+12+14+21}{6}$ = 14

Sum of Deviations from their mean = (14 - 4) + (14 - 10) +(14 - 23) +(14 - 12) +(14 - 14) + (14 - 21) = 10 + 4 - 9 + 2 + 0 -7 = 0