Given below are heights of 15 girls of class VIII measured in cm: 128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154.

Find
a. The range of the given data.
b. The median height of the girls.

Given:

The heights of 15 girls of class VIII measured in cm: 128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154.

To do:

We have to find:

a. The range of the given data.
b. The median height of the girls.
Solution:

We know that,

Range $=$ Highest value $-$ Lowest value 

Median $=$ Middle value

Arranging the given data in ascending order, we get,

128, 129, 136, 138, 140, 140, 142, 142, 143, 144, 144, 146, 150, 152, 154.

Therefore,

a. Range $=(154-128)\ cm=26\ cm$.

The range of the given data is $26\ cm$.

b. Median $=8$th term

$=142\ cm$

The median height of the girls is $142\ cm$.

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Updated on: 10-Oct-2022

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