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Question

The heights of boys and girls of IX class of a school are given below.
Height (cm)135140147152155160
Boys25121071
Girls1210565
Compare the average heights of the boys and girls.

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Solution

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 =549937=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 =437529=150.86 cm
Hence,
The average height of Girls is 2 cm greater than the average height of Boys.

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