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]
We have
We shall find median of the heights of the boys and girls separately.
Median of heights of boys:
Nxi = 37
⇒ 
Cumulative frequency = 19 falls in the height of 147 cm.
Thus, median height of boys is 147 cm.
Now, median of heights of girls:
Nyi = 29
⇒ 
Cumulative frequency = 15 falls in the height of 18.
Cumulative frequency, 18 falls in the height of 152 cm.
∴ Median height of boys is 147 cm whereas median height of girls in the class is 152 cm.
6