Find the sum of the deviations of the variable values 3, 4, 6, 7, 8, 1

1.	Find the sum of the deviations of the variable values 3, 4, 6, 7, 8, 14 from their mean.
Answer» Values are 3, 4, 6, 7, 8, 14 Therefore, Mean \(=\frac{Sum\, of \, numbers}{Total\,numbers}\) \(=\frac{3 + 4 + 6 + 7 + 8 + 14}{6}\) \(=\frac{42}{6}\) = 7 Therefore, sum of deviation of values from their mean = (3 – 7) + (4 – 7) + (6 – 7) + (7 – 7) + (8 – 7) + (14 – 7) = (-4) + (-3) + (-1) + (0) + (1) + (7) = - 8 + 8 = 0

Find the sum of the deviations of the variable values 3, 4, 6, 7, 8, 14 from their mean.

Answer»

Values are 3, 4, 6, 7, 8, 14

Therefore, Mean \(=\frac{Sum\, of \, numbers}{Total\,numbers}\)

\(=\frac{3 + 4 + 6 + 7 + 8 + 14}{6}\)

\(=\frac{42}{6}\)

= 7

Therefore, sum of deviation of values from their mean

= (3 – 7) + (4 – 7) + (6 – 7) + (7 – 7) + (8 – 7) + (14 – 7)

= (-4) + (-3) + (-1) + (0) + (1) + (7)

= - 8 + 8

= 0