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Mathematics

The heights (in cm) of 9 girls in a class are given below:

148.5, 143.7, 152.1, 150, 149.6, 144.2, 145, 147.3, 146.5

Find the median height.

Measures of Central Tendency

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Answer

By arranging data in ascending order, we get:

143.7, 144.2, 145, 146.5, 147.3, 148.5, 149.6, 150, 152.1

Number of observations, n = 9, which is odd.

By formula,

⇒Median=n+12th observation⇒Median=9+12th observation⇒Median=102th observation⇒Median=5 th observation⇒Median=147.3\Rightarrow \text{Median} = \dfrac{\text{n} + 1}{2} \text{th} \text{ observation} \\[1em] \Rightarrow \text{Median} = \dfrac{9 + 1}{2} \text{th} \text{ observation} \\[1em] \Rightarrow \text{Median} = \dfrac{10}{2} \text{th} \text{ observation} \\[1em] \Rightarrow \text{Median} = 5 \text{ th} \text{ observation} \\[1em] \Rightarrow \text{Median} = 147.3

Hence, median height = 147.3 cm.

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