Question

6. The heights of boys and girls of IX class of a school are given below.
Height(cm)
135
140
147
152
155
160
Boys
2
5
12
10
7
1
Girls
1
2.
10
5
6
5
Compare the heights of the boys and girls
[Hint: Find median heights of boys and girls)​

Answer 1

Answer:

Height (cm) 135 140147152 155 160 Boys 2 5 12 10 7 1 Girls 1 2 10 5 6 5

Total number of Boys =2+5+12+10+7+1=37

Sum of heights of all boys =135×2+140×5+147×12+152×10+155×7+160×1=5499

Average height of boys =375499=148.62 cm

Total number of Girls =1+2+10+5+6+5=29

Sum of heights of all girls =135×1+140×2+147×10+152×5+155×6+160×5=4375

Average height of girls =294375=150.86 cm

Hence,

The average height of Girls is 2 cm greater than the average height of Boys.