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Question

Calculate the mean deviation about median for the following data

Xi39101213fi34524


A

2.21

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B

2.27

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C

2.56

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D

2.43

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Solution

The correct option is B

2.27


The observations are already in ascending order.

Let's calculate the cumulative frequencies

Xi39101213fi34524c.f.37121418

Median of the observations would be average of 9th and 10th readings =9th term+10th term2=10+102=10

Let's calculate fi|xiM| for given observations.

|xiM|71023fi34524fi|xiM|2140412

Mean deviation about median=M.D(M)=ni=1fi|xiM|ni=1fi

=21+4+0+4+1218

=4118=2.278 M.D(M)=2.278.


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