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
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
6
Always Zero.
Hope it helps.
mark as BRAINLIEST
Similar questions