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Question

# Calculate the median for the following data given below:X5âˆ’99âˆ’1313âˆ’1717âˆ’21F3894

A
11.44
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B
12.44
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C
13.44
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D
15.44
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Solution

## The correct option is A 13.44XFrequencies (f)Cumulative frequency (cf)5−9339−1383+8=1113−17911+9=2017−21420+4=24n=Σf=24n2=242=12Median =l+(n2−cff)×hn=Σf= Total number of frequency =12n2=242=12So, the median class is 13−17L= Lower limit of the median class =13cf= Cumulative frequency of the class preceding the median class =11f= Frequency of the median class =9h= class width=4Therefore, Median =l+(n2−cff)×h=13+⎛⎝242−119⎞⎠×4=13+(12−119)×4=13+0.44=13.44Hence, the median is 13.44.

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