Question

8. The heights (in cm) of 35 students of a class are given below:
Height (in cm)
157
152
153
154
155
156
Number of students
7
4
3
5
9
Find the median height.​

Answer 1

Here

Cumulative Frequency

7

11

14

19

28

$\frac{n}{2} = \frac{7 + 4 + 3 + 5 + 9}{2} = \frac{28}{2} = 14$

N=28 is even, hence there will be two observations

$\frac{n}{2} \: and \: \frac{n + 1}{2}$

$14 {}^{th} and \: 15 {}^{th} observation \:$

Now, frequency greater than 14 is 19 and height for 19 is 154

Hence, median is 154

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