Question

For some data Z–M=2.5. If the mean of the data is 20, then Z =.......,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 21.25
(b) 22.75
(c) 23.75
(d) 22.25

Answer 1

Option ( c ) is correct.

Explanation :

It is given that ,

z - M = 2.5

=> M = z - 2.5 ---( 1 )

and x = 20

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By Empharical Formula :

if mode = z , Median = M , mean = x

then

z = 3M - 2x

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Now ,

z = 3M - 2x

=> z = 3 ( z - 2.5 ) - 2 × 20

=> z = 3z - 7.5 - 40

=> z = 3z - 47.5

=> z - 3z = - 47.5

=> z = ( - 47.5 )/( -3 )

=> z = 23.75

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Answer 2

Answer:

option c is correct answer