Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code: Assertion (A) Reason (R) If the median and mode of a frequency distribution are 150 and 154 respectively, then its mean is 148. Mean, median and mode of a frequency distribution are related as: mode = 3 median - 2 mean.

Question

Philoid · Accepted Answer

According to Reason(R),

Relationship between mean, median and mode is,

Mode = 3(Median) – 2(Mean)

If we substitute the values given in the above relationship,

Median = 150 and Mean = 148 (given)

Mode = 3(150) – 2(148)

⇒ Mode = 450 – 296 = 154

We get mode = 154, which satisfies the assertion.

Thus, Assertion(A) and Reason(R) are true and Reason(R) is the correct explanation of the Assertion(A).

Assertion (A)	Reason (R)
If the median and mode of a frequency distribution are 150 and 154 respectively, then its mean is 148.	Mean, median and mode of a frequency distribution are related as: mode = 3 median - 2 mean.