Find the median of the data:

Question:

Find the median of the data:

25, 34, 31, 23, 22, 26, 35, 29, 20, 32

Solution:

Numbers are 25, 34, 31, 23, 22, 26, 35, 29, 20, 32

Arranging the numbers in ascending order

20, 22, 23, 25, 26, 29, 31, 32, 34, 35

n = 10 (even)

$\therefore$ Median $=\frac{\frac{\mathrm{n}^{\mathrm{th}}}{2} \text { value }+\left(\frac{\mathrm{n}}{2}+1\right)^{\text {th }} \text { value }}{2}$

$=\frac{\frac{10^{\text {th }}}{2} \text { value }+\left(\frac{10}{2}+1\right)^{\text {th }} \text { value }}{2}$

$=\frac{5^{\text {th }} \text { value }+6^{\text {th }} \text { value }}{2}$

$=\frac{26+29}{2}$

$=\frac{55}{2}=27.5$

 

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