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Calculate the mode from the following da...

Calculate the mode from the following data :
`{:("Class Interval",20-24,25-29,30-34,35-39,40-44,45-49,50-54,55-59),("Frequency"," "3," "5," "10," " 20," "12," "6," "3," "1):}`

Text Solution

Verified by Experts

Since we are given inclusive class intervals , we first convert it into exclusive series as under :

A glance at the above table reveals that model class is 34.5-39.5. The actual value of mode is ,
`Z=l_(1)+(f_(1)-f_(0))/(2f_(1)-f_(0)-f_(2))xxi`
`=34.5+(20-10)/(2(20)-10-12)xx5`
`34.5+(10)/(40-22)xx5`
`=34.5+(10)/(18)xx5`
`=34.5+2.78`
`=37.28`
Mode = 37.28.
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