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The following table gives distributionn ...

The following table gives distributionn of marks secured by some stidents :
`{:("Wege Rate (Rs.)",10-20,20-30,30-40,40-50,50-60,60-70,70-80),("Number of Students"," "42," "38," "120," "84," "48," "36," "31):}` Calculate the median marks secured by the students.

Text Solution

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M= Size of `((N)/(2))` th item
= size of `((399)/(2))` th item
= Size of 199.5th item
Hence, median lies in the class 30-40.
`M=l_(1)+((N)/(2)-c.f.)/(f)xxi`
`=30+((399)/(2)-80)/(120)xx10`
`=30+((199.5)/(2)-80)/(120)xx10=30+(119.5)/(120)xx10`
`=30+9.96=39.96`
Median Marks =39.96.
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