1
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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|xi−M| for given observations. |xi−M|71023fi34524fi|xi−M|2140412 Mean deviation about median=M.D(M)=∑ni=1fi|xi−M|∑ni=1fi =21+4+0+4+1218 =4118=2.278 ∴M.D(M)=2.278.

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