Q. 54.3( 263 Votes )

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

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

Answer :

The above-given data can be represented in the form of a table as below:
Let a = 57

Now, the mean of the deviation can be calculated as follows:



where ,
fi = frequency of the ith class
di = xi - a
a = assumed mean of the data



= 0.1875


Mean can be calculated as follows:


=

where, a = assumed mean of the data

= 0.1875 + 57


Mean = 57.1875
        ≈ 57.19
Hence, the mean of the given data is 57.19.

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