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 = 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).

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