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In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes. No. of mangoes: 50-52 53-55 56-58 59-61 62-64 No. of boxes: 15 110 135 115 25 Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

Text Solution

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Since, given data is not continous, so we add 0.5 in the lowe and upper limit of each class

Here, (assumed mean) a=57, (calss width) h=3 (total observations ) N=400 and `sumf_(i)u_(i)`
By step deviation method,
`"Mean"=a(sum f_(i)u_(i))/(N)xxh=57+(25)/(400)xx3`
`=57+0.19=57.19`
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