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Question

# Find the approximate value of mode for the following data :Class interval7âˆ’1414âˆ’2121âˆ’2828âˆ’3535âˆ’42Frequency243101

A
30
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B
32
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C
31
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D
35
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Solution

## The correct option is C 31Here frequency of class interval 28−35 is maximum.So, it is the modal classNow l = lower limit of modal class =28f1= frequency of modal class =10f0=frequency of class preceding the modal class =3f2= frequency of class succeeding the modal class =1h= class interval width =7So, Mode =l+(f1−f02f1−f0−f2)×h=28+(10−32×10−3−1)×7=28+(720−4)×7=28+3.0625=31.06Mode∼31

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