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:

N_{xi} = 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:

N_{yi} = 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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