Q. 345.0( 1 Vote )

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

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 but 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.

Answer :

Let suppose 15 numbers are = n_{1}, n_{2}, …….. , n_{15}

Given mean = 25

25 =

⇒ n_{1} + n_{2} + …… + n_{15} = 25 × 15

⇒ n_{1} + n_{2} + …… + n_{15} = 375 … [equation (i)]

After subtracting 6 from each number the mean = 19

So, we have,

(n_{1} – 6), (n_{2} – 6), …….. (n_{15} – 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).

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