Math, asked by Mandy5677, 11 months ago

The algebraic sum of the deviations of a frequency distribution from its mean is
A. always positive
B. always negative
C. 0
D. a non-zero number

Answers

Answered by sonuvuce
28

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

Therefore, Option (C) is correct.

Step-by-step explanation:

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

Let us take an example

Assume the data to be

4, 5, 6, 10, 15

The mean of the data will be

Mean = (4+5+6+10+15)/5 = 40/5 = 8

Deviation of 4 from the mean = 4 - 8 = -4

Deviation of 5 from the mean = 5 - 8 = -3

Deviation of 6 from the mean = 6 - 8 = -2

Deviation of 10 from the mean = 10 - 8 = 2

Deviation of 15 from the mean = 15 - 8 = 7

Algebraic sum of the deviations = (-4) + (-3) + (-2) + 2 + 7 = 0

Know More:

Q: What is the algebraic sum of the deviations of a frequency distribution from its mean?

Click Here: https://brainly.in/question/8565727

Answered by Lakshita567
6

Always Zero.

Hope it helps.

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