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Calculate mode from the following data :...

Calculate mode from the following data :
`{:("Class Interval",0-10,10-20,20-30,30-40,40-50),("Frequency"," "2," "5," "7," "5," "2):}`

Text Solution

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A glance at the series reveals that 20-30 is the model class because it the maximum frequency , I.e., 7. Following formula is used to calculate model value :
`Z=l_(1)+(f_(1)-f_(0))/(2f_(1)-f_(0)-f_(2))xxi`
`=20+(7-5)/(2(7)-5-5)xx10`
`=20+(2)/(14-10)xx10`
`=20+(2)/(4)xx10`
`=20+5=25`
Mode (Z) -25.
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