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The following table gives the marks obt...

The following table gives the marks obtained by some students.
Calculate the median marks obtained by the students.
`{:("Marks",0-5,5-10,10-15,15-20,20-25,25-30,30-35,35-40,40-45),("Number of Students"," "6," "12," "17," "30," "10," "10," "8," "5," "2):}`

Text Solution

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M= Size of `((N)/(2))`th item
Size of `((100)/(2))` th item = Size of 50 th item 50 th item lies in 65 th cumulative frequency and the corresponding median class is 15-20.
` M= l_(1)+(N/(2)-c.f.)/(f)xxi=15+(100/(2)-35)/(30)xx5`
`=15+(50=35)/(30)xx5=15+(15)/(30)xx5`
`=15+2.5=17.5`
Median = 17.5 marks.
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