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Find out the arithmetic mean from the fo...

Find out the arithmetic mean from the following data:
`{:("Marks (less than)"," "5,10,15,20,25,30),("Number of Students",22310,23,30,54,69,80):}`

Text Solution

Verified by Experts

Since, we are given cumulative frequency distribution, at first we will convert the series into a simple frequency distribution and then, find out the mean marks.

`barX=A+(sumfd')/(sum f)xxC`
`=12.5 +54/80xx5`
`=12.5+3.375 = 15.875`
Arithmetic Mean = `15.875`.
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Knowledge Check

  • The mean of the following data is {("Class interval",f),(" "10-15,5),(" "15-20,7),(" "20-25,3),(" "25-30,4),(" "30-35,8):}

    A
    22
    B
    23.05
    C
    24.05
    D
    27.05
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