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Arithmetic Mean by Deviation Method

The algebraic...

Question

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

A

Always positive

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B

Always negative

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C

0

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D

Non – zero number

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Solution

The correct option is C
0

The algebraic sum of the deviation of a set of values from their arithmetic mean is 0. This is one of the properties of the arithmetic mean.

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Similar questions

Q. 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

Q. The algebraic sum of the deviations of a frequency distribution from its mean is ____.

Q. The algebraic sum of the deviations from arithmetic mean is always:

Q. Consider the following statements:
1. The algebraic sum of the deviations of a set of

n

values from its arithmetic mean is zero.
2. In the case of frequency distribution, mode is the value of the variable which corresponds to maximum frequency.
Which of the statements given above is/are correct?

Q. Assertion :If

x_{i} = (2 i - 1); i = 1, 2, 3...

. Then, the sum of the deviations of

x_{1}, x_{2}, . . . . . x_{n}

x = n

is zero Reason: The algebraic sum of the deviations of a set of observations about their mean is zero.

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