Question: The following data gives the distribution of height of students <table> <colgroup> <col style="widt...

Question

The following data gives the distribution of height of students

Height

(in cm)

160

150

152

161

156

154

155

Number

of

students

12

8

4

3

7

The median of the distribution is

Answer 1

Solution

Arranging the data in ascending order of magnitude, we obtain

Height

(in cm)

150

152

154

155

156

160

161

Number

Of

Students

8

4

3

7

3

12

4

Cumulative

frequency

8

12

15

22

25

37

41

Here, total number of items is 41, i.e. an odd number. Hence, the median is $\frac{41 + 1}{2}$ th i.e. 21^st item.

From cumulative frequency table, we find that median i.e. 21^st item is 155.

(All items from 16 to 22^nd are equal, each = 155)