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{:("Class Interval",0-4,4-8,8-12,12-14,1...

`{:("Class Interval",0-4,4-8,8-12,12-14,14-16,16-20,20-24,24-26,26-32,32-34,34-40,40-44,44-48),("Frequency"," "2," "4," "7," "5," "8," "3" "," "2," "1," "13," "5," "3," "3," "9):}`

Text Solution

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Change unequal class intervals into equal class - intervals and work out an analysis table , as under :

Mode is in 8-16 class interval.
By using the formula,
`Z=l_(1)+(f_(1)-f_(0))/(2f_(1)-f_(0)-f_(2))xxi`
`l_(1)=8,f_(1)=20 , f_(0)=6 , f_(2)=5,i=8`
`Z=8+(20-6)/(2(20)-6-5)xx8`
`=8+(14)/(40-11)xx8=8+(14)/(29)xx8`
`Z=8+3.86`
=11.86
Mode (Z) = 11.86`.
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