Question

The heights of boys and girls of IX class of a school are given below.Compare the heights of the boys and girls[Hint : Find median heights of boys and girls]
Height (cm)
135
140
147
152
155
160

Boys
2
5
12
10
7
1

Girls
1
2
10
5
6
5

Answer 1

Answer:

The median height of girls is more than of boys.

Step-by-step explanation:

The median height of the boys=135,135,140,140,140,140,140,147,147,147,147,147,147,147,147,147,147,147,147,152,152,152,152,152,152,152,152,152,152,155,155,155,155,155,155,155,160

The total number of observation =37

median =(n+1/2)th observation =37+1/2=38/2=19 that observation =147

hence, 147 is the median height of boys

The median height of girls=135,140,140,147,147,147,147,147,147,147,147,147,147,152,152,152,152,152,155,155,155,155,155,155,160,160,160,160,160

The total number of observation =30

median =average of (n/2) th and n/2+1 that observation

30/2 and 30/2 +1=15th and 16th observation

152+152/2=304/2=152

hence, the median height of girls is more than of boys.

Answer 2

Step-by-step explanation:

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