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Find the median of data 24,36,30,15,17,18,25,36.
To do: Find the median of data 24,36,30,15,17,18,25,36
Solution:
Arrange the numbers in ascending order,
$15 , 17 , 18 , 24 , 25 , 30 , 36 , 36$
Count the number of terms(n),
$n = 8$
'n' is even number. use the following formula
Now,
- Find value at position $\frac{n}{2}$
- Find value at position $\frac{n}{2} + 1$
- Find the average of two values to get the median.
$\frac{n}{2} = \frac{8}{2} = 4$
The value at the fourth position from the ordered data = 24
$\frac{n}{2} + 1 = \frac{8}{2} + 1 = 4 + 1 = 5$
The value at the fifth position from the ordered data = 25
The average of two values = $\frac{24 + 25}{ 2}$
= $\frac{ 49}{ 2}$
=$ 24.5$
Median of the given values is 24.5
Updated on: 10-Oct-2022
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