Question

The The height (in cm) of 8 students of a class are as follows -:
145, 150, 152 , 149, 160, 155, 151, 148 . Find the median height​

Answer 1

$\star\small\sf\underline\blue{Given:-}⋆$

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The height (in cm) of 8 students of a class are as follows: 145, 150, 152, 149, 160, 155, 151, 148 .

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$\star\small\sf\underline\blue{find-}⋆$

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The median height = ?

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$\star\small\sf\underline\blue{Solution:-}⋆$

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Arrange data in ascending order or descending order.

Here, we are arranging data in ascending order:

145, 148, 149, 150, 151, 152, 155, 160

⠀⠀Two middle most observations

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$\star\small\sf\underline\blue{Therefore:-}⋆$

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$\begin{gathered}\sf Median = \dfrac{Sum \: of \: two \: middle \: most \: observations}{2} \\ \\ \sf \: Median = \dfrac{150 + 151}{2} \\ \\ \sf \: Median = \cancel \dfrac{301}{2} \\ \\ \sf \: Median = 150.5 \: cm\end{gathered}$

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$\star\small\sf\underline\blue{AnswEr:-}⋆$

The median height is 150.5 cm.