Question

Question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code: 

(a) Both Assertion (A) and reason (R) are true and Reason (R) is a correct explanation of Assertion (A). 

(b) Both Assertion (A) and reason (R) are true and Reason (R) is not a correct explanation of Assertion (A). 

(c) Assertion (A) is true and Reason (R) is false. 

(d) Assertion (A) is false and Reason (R) is true

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)

Answer 1

(a) Both Assertion (A) and reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

Clearly, reason (R) is true. 

Using the relation in reason (R), we have: 

2 mean = (3 × median) – mode = (3 × 150) – 154 = 450 – 154 = 296 

⇒ Mean = 148, which is true. 

∴ This assertion (A) and reason (R) are both true and reason (R) is the correct explanation of assertion (A).