Q. 225.0( 1 Vote )
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
Answer :
Given: median = 26 and mode = 29
By empirical formula,
mode = (3 × median) – (2 × mean)
⇒ 2 × mean = (3 × median) – mode
⇒ 2 × mean = (3 × 26) – 29
⇒ 2 × mean = 78 – 29
⇒ 2 × mean = 49
⇒ mean = 49/2 = 24.5
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