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Question

If the cumulative frequency for the class interval (30-40) is 70 and for class interval (50-60) is 150 , then the value of y =

Class Interval01010202030304040505060Frequency 12 20 x 18 10 y


A

20

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B

80

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C

70

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D

50

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Solution

The correct option is C

70


The cumulative frequency table for the given distribution is

Class IntervalFrequencyCumulative Frequency0101212102020322030x(32+x)304018(50+x)405010(60+x)5060y(60+x+y)

Cumulative frequency for class interval (30 - 40) is 70

50+x=70

x=7050

x=20

Cumulative frequency for class interval (50 - 60) is 150

60+x+y=150

60+20+y=150

y=150(60+20)

y=15080

y=70


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