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Mean Deviation

The algebraic...

Question

The algebraic sum of deviation of a set of n values from A.M. is

(a) n

(b) 0

(c) 1

(d) none of the above

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Solution

The algebraic sum of deviation of a set of n values from A.M. is zero. This is one of the mathematical properties of arithmetic mean.

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Similar questions

Q. Indicate the most appropriate alternative from the multiple choices provided against each question.
(i) The most suitable average for qualitative measurement is

(a) arithmetic mean
(b) median
(c) mode
(d) geometric mean
(e) none of the above

(ii) Which average is affected most by the presence of extreme items?

(a) median
(b) mode
(c) arithmetic mean
(d) none of the above

(iii) The algebraic sum of deviation of a set of n values from A.M. is

(a) n
(b) 0
(c) 1
(d) none of the above

Q. The algebraic sum of the deviations of a set of n values from their mean is

(a) 0

(b) n − 1

(c) n

(d) n + 1

Q. The algebraic sum of the deviations of a set of

n

values from their mean is

The number of terms in the algebraic expression $4 m^{2} + 5 n^{2} + 2$ is

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?

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