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The median and mode of a frequency distribution are 26 and 29 respectively. Then the mean is:
Question

The median and mode of a frequency distribution are 26 and 29 respectively. Then the mean is:

A.

27.5

B.

24.5

C.

28.4

D.

25.8

Correct option is B

Given:
Median = 26
Mode = 29
Formula used:
Mode = 3 × Median – 2 × Mean
Solution:
29 = 3 × 26 – 2 × Mean
29 = 78 – 2 × Mean
2 × Mean = 78 – 29 = 49
Mean = 49 ÷ 2 = 24.5
Correct answer is (b)

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