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