Question

What is the algebric sum of devition of frequency distribution about thats mean

Answer 1

the answer is zero in when the number of class intevals is odd. ... The algebraic sum of the deviations of a frequency distribution from its mean is either the first or the last deviation when the number of class intervals are even depending upon the position of the assumed mean.

Answer 2

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

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

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

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