Question

The heights (in cm) of 15 boys of a team are given below:
165, 142,150, 151, 162, 138, 132, 145, 159, 158, 160, 145, 149, 146, 148
Find the median height of the team.​

Answer 1

Solution-

(1) First arrange the series in ascending or descending order.

132 , 138 , 142 , 145, 145, 146, 148, 149, 150, 151, 158, 159 , 160 , 162 , 165 .

(2) Use formula to find median

$\boxed{m = > size \: of \: ( \frac{n + 1}{2})th \: term } \\ \\ m \: = > \frac{(15 + 1)}{2} th \: term \\ \\ m = > \frac{(16)}{2} th \: term \\ \\ m = > 8th \: term \\ \\ \boxed{m = > 149}$

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Note ...

If in any case class intervals are given or continuous series are given ,then used following formula to calculate median .

$\boxed{m = >ll + \frac{ \frac{n}{2} - cf }{f} \times h }$

m = Median

n = No of items

CF = cumulative frequency

f = frequency

h =intervals or difference in class intervals

ll = Lower limits.

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Hope it's helps you