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Find the missing frequency of the group ...

Find the missing frequency of the group 20-30 when the median is 24.
`{:("Size",0-10,10-20,20-30,30-40,40-50),("Frequency"," "5," "25," "-," "18," " 7):}`

Text Solution

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Let the missing frquescy be denoted by `f_(1)`.

Since , Median =24, it lies in the class 20-30.
`M=l_(1)+(N/(2)-c.f.)/(f)xxi`
`24=20+(55+f_(1)/(2)-30)/(f_(1))xx10`
`4=(55+f_(1)/(2)-30)/(f_(1))xx10`
`rArr4f_(1)=((55+f_(1))/(2)-30)xx10`
`rArr4f_(1)=((55+f_(1))/(2)-60)xx10`
`rArr4f_(1)=((f_(1)-5)/(2))xx10`
`rArr 8f_(1)=10f_(1)-50`
`rArr5f_(1)=50`
`rArrf_(1)=(50)/(2)=25`
Thus , Missing Frequency =25.
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Knowledge Check

  • The median class in the following frequency distribution is {:("Class interval :",0-10,10-20,20-30,30-40,40-50),("Frequency :",12,13,25,20,10):}

    A
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    B
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    C
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    D
    none of these

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