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Question

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 these

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

(a) Median                           (b) Mode

(c) Arithmetic mean             (d) Geometric mean

(e) Harmonic mean

(iii) The algebraic sum of deviation of a set of n values from AM is

(a) n                            (b) 0

(c) 1                            (d) None of these


Solution

(i) (b) Median is the most suitable average for qualitative measurement because median divides series into two equal parts thus representing the average qualitative measure without being affected by extreme values.

(ii) (c) It is defined as the values of all observations divided by the number of observations and therefore it is affected the most by extreme values.

(iii) (b) This is one of the mathematical properties of arithmetic mean that the algebraic sum of deviation of a set of n values from AM is zero.

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