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Question

Mathematics Question on Mean Deviation

If M. D. is 1212, the value of S.D. will be

A

15

B

12

C

24

D

None of these

Answer

15

Explanation

Solution

We know that D=56×M.D.D = \frac{5}{6} \times M.D.
=56×12=10= \frac{5}{6} \times 12 = 10
S.D=32×D\therefore \, S.D = \frac{3}{2} \times D
=32×10= \frac{3}{2} \times 10
S.D.=15\Rightarrow \, S.D. = 15