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# Find the sum of the deviations of the variate values

Question:

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

Solution:

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

$\therefore$ Mean $=\frac{\text { Sum of numbers }}{\text { Total numbers }}$

$\therefore$ Mean $=\frac{3+4+6+7+8+14}{6}$

∴ Mean = 42/6

= 7

∴ 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