The question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.

Assertion (A)	Reason (R)
The mean of 15 numbers is 25. If 6 is subtracted from each number, the mean of new numbers is 19.	Mode = 3(median) – 2(mean).

Let suppose 15 numbers are = n₁, n₂, …….. , n₁₅

Given mean = 25

25 =

⇒ n₁ + n₂ + …… + n₁₅ = 25 × 15

⇒ n₁ + n₂ + …… + n₁₅ = 375 … [equation (i)]

After subtracting 6 from each number the mean = 19

So, we have,

(n₁ – 6), (n₂ – 6), …….. (n₁₅ – 6)

From equation (i)

⇒ Mean = 25 – 6 = 19

It means assertion (A) is true,

Reason (R) ⇒ by empirical formula which is,

Mode = 3(median) – 2(mean) is true.

But Reason (R) is not correct explanation of assertion (A).