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Cosider the following table The mod...

Cosider the following table

The mode of the above data is

A

23.5

B

24

C

24.4

D

25

Text Solution

Verified by Experts

The maximum frequency is 25 and be the modal class is 22-26
`thereforex_k=22,f_k=25,f_(k-1)=16,f_(k+1)=19 and h=4`
`therefore "mode"=x_k+h.{((f_k-f_(k-1)))/((2f_k-f_(k-1)-f_(k+1))}}`
`={22+4xx((25-16))/((50-16-19))}=(22+4xx9/(15))=(22+(12)/5)=(22+2.4)=24.4`
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