Question

The algebraic sum of the deviations of a frequency distribution from its mean is always, (a) greater than zero (b) less than zero (c) zero (d) a non-zero number

Answer 1

Answer:

The algebraic sum of the deviations of a frequency distribution from its mean is always zero.

Answer 2

Answer:

Step-by-step explanation:

The algebraic sum of the deviations of a frequency distribution from its mean =0

For example-

Let the value be 4,6,9,15,16

∴Mean =  $\frac{4+6+9+15+16}{5}$  =  $\frac{50}{5}$ = 10

Deviation of 4 from 10=4−10=−6

Deviation of 6 from 10=6−10=−4

Deviation of 9 from 10=9−10=−1

Deviation of 15 from 10=15−10=5

Deviation of 16 from 10=16−10=6

∴ Algebraic sum of the deviation(with sign)=(−6)+(−5)+(−1)+5+6=0