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Question

Mathematics Question on Variance and Standard Deviation

Given below are two statements:
Statement I: The Geometric mean of a set of n observations is the nth root of their product.
Statement II: If X1, X2, X3 ... Xn are the given n observations, then their G.M. is given by (X1)(X2)(X3)....(Xn)\sqrt{(X_1) (X_2) (X_3)....(X_n)} In the light of the above statements,

A

Both Statement I and Statement II are true

B

Both Statement I and Statement II are false

C

Statement I is true but Statement II is false

D

Statement I is false but Statement II is true

Answer

Statement I is true but Statement II is false

Explanation

Solution

The correct option is(C): Statement I is true but Statement II is false