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If the median of the data x(1), x(2), x(...

If the median of the data `x_(1), x_(2), x_(3), x_(4), x_(5),x_(6), x_(7), x_(8) " is " alpha and x_(1) lt x_(2) lt x_(3) lt x_(4) lt x_(5) lt x_(6) lt x_(7) lt x_(8)`, then the median of `x_(3), x_(4), x_(5), x_(6)` is

A

`alpha`

B

`(alpha)/(2)`

C

`(alpha)/(3)`

D

`(alpha)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
We have, `alpha = (x_(4)+x_(5))/(2)`
Median of `x_(3),x_(4), x_(5), x_(6) " is " (x_(4)+x_(5))/(2)= alpha`
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