Consider the given data with frequency distribution Which of the following option(s) is(are) TRUE?

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Consider the given data with frequency distribution

Which of the following option(s) is(are) TRUE?

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The mean of the above data is 6

The median of the above data is 5

The mean deviation about the mean of the above data is 2.7

The mean deviation about the median of the above data is 2.5

answer is A, C, B.

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Detailed Solution

(P) $M e a n (\bar{x}) = \frac{120}{20} = 6$

(Q) $M e d i a n = \frac{(10^{t h} + 11^{t h}) o b s e r v a t i o n}{2} = 5$

(R) $M . D . (\bar{x}) = \frac{\sum f_{i} | x_{i} - \bar{x} |}{\sum f_{i}} = \frac{54}{20} = 2.7$

(S) $M . D . (M) = \frac{\sum f_{i} | x_{i} - M |}{\sum f_{i}} = \frac{48}{20} = 2.4$

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