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If a variable takes the discrete values ...

If a variable takes the discrete values `alpha+4`,
`alpha -(7)/(2), alpha-(5)/(2), alpha-2,alpha-3,alpha+(1)/(2), alpha-(1)/(2), alpha+5(alpha gt 0)`, then the median is

A

`alpha-(5)/(4)`

B

`alpha-(1)/(2)`

C

`alpha-2`

D

`alpha+(5)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Arrange the data as follows :
`alpha-(7)/(2), alpha-3, alpha-(5)/(2),alpha-2, alpha-(1)/(2),alpha+(1)/(2),alpha+4,alpha+5`
Median `=(1)/(2)` [value of 4th item+value of 5th item]
`therefore " Median"=(alpha-2+alpha-(1)/(2))/(2)=(2alpha-(5)/(2))/(2)=alpha-(5)/(4)`
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