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Question

A survey of heights (in cm) of 51 girls of class X of a school was conducted and the following data was obtained. Find the median height.

HEIGHT (IN CM)NUMBER OF GIRLSBELOW 14041401457145150181501551115516061601655

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Solution

CLASS INTERVALSFREQUENCYCUMULATIVE FREQUENCYBELOW 1404414014571114515018291501551140155160646160165551CUMULATIVE FREQUENCY51

n = 51

(n2)=25.5

So, the cumulative frequency of class is corresponding to class-interval 145-150.

l (lower limit) =145,

Cumulative frequency of class preceding 145-150 = 11

f (frequency of median class) = 18

h (size of class-interval) = 5

Median =l+(n21f)h=145+(25.51118)×5=149.03


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