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Find the mean deviation of a set of numbers: 14, 15, 16, ...

Find the mean deviation of a set of numbers: 14, 15, 16, 17, 18, and 19.

A.

2.5

B.

1.7

C.

1.5

D.

3.5

Correct answer is C

x̄ = 14+15+16+17+18+196=996 = 16.5

M . D = (1416.5)+(1516.5)+(1616.5)+(1716.5)+(1816.5)+(1916.5)6

M.D = (2.5)+(1.5)+(0.5)+(0.5)+(1.5)+(2.5)6

Taking the absolute value of the deviations

M.D = 2.5+1.5+0.5+0.5+1.5+2.56

M.D = 96 = 1.5