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Find out mode of the following series : ...

Find out mode of the following series :
`{:("Wages (Rs.) less than",200,300,400,500,600,700,800,900),("Number of Workers",5,18,38,70,90,95,98,100):}`

Text Solution

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For the calculation of mode , Less - than cumulative frequency distribution is first to be concerted into a normal continuous frequency distribution , as under:

An inspection of the series reveals that 400 -500 is the model calss . the value of mode is ,
`Z=l_(1)+(f_(1)-f_(0))/(2f_(1)-f_(0)-f_(2))xxi`
`=400 + (32-20)/(2(32)-20-20)xx100`
`=400 +(12)/(64-40)xx100`
`=400 +(12)/(24)xx100`
`=400+50=450`
Mode (Z) =450.
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