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Question

The height (in cm) of 50 students in a particular class are given. Find the median.
Height (in cm)156155154153152151150
Number of students846101237

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Solution

Height in cm

Number of students

cf

156

8

8

155

4

12

154

6

18

153

10

28

152

12

40

151

3

43

150

7

50

Total

50

Here N=50 Then N2=502=25
N=50 is even, hence there will be two observationsn2andn2+1i.e,25thand26th

Now, frequency greater than 25 is 28 and height for 28 is 153

Hence, median is 153.


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