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

Answer:

Arrange the number in ascending order:

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

There are 8 terms.

So Median is the mean of the 4th and 5th term.

Median = (150+151)/2 = 150.5

Answer 2

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• The 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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• The median height = ?

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Arrange data in ascending order or descending order. Here, we are arranging data in ascending order:

$145, 148, 149,\red{\underbrace{\underline{\textsf{\textbf{\purple{150, 151}}}}}},152, 155, 160 \\ \sf \: Two \: middle \: most \: observations$

$\footnotesize\bold{\underline{\underline{\sf{\red{Therefore:-}}}}}$

$\sf Median = \dfrac{Sum \: of \: two \: middle \: most \: observations}{2} \\ \\ \sf Median = \dfrac{150 + 151}{2} \\ \\ \sf Median = \cancel\dfrac{301}{2} \\ \\ \sf Median = \boxed{ \bf \red{150.5 \: cm}} \: \bigstar$

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• The median height is 150.5 cm.