Q. 64.3( 45 Votes )
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]
Answer :
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.
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