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In a moderately asymmetrical series, the values of arithmetic mean and median are 161 and 161.5 respectively. What is the value of the mode?
Question

In a moderately asymmetrical series, the values of arithmetic mean and median are 161 and 161.5 respectively. What is the value of the mode?

A.

164.5

B.

168.5

C.

166.5

D.

162.5

Correct option is D

Mean = 161
Median = 161.5

Mode = 3 × Median − 2 × Mean

= 3 × 161.5 − 2 × 161

= 484.5 − 322

= 162.5

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