Find the median of the data:

Question:

Find the median of the data:

92, 35, 67, 85, 72, 81, 56, 51, 42, 69

Solution:

Numbers are 92, 35, 67, 85, 72, 81, 56, 51, 42, 69

Arranging the numbers in ascending order

35, 42, 51, 56, 67, 69, 72, 81, 85, 92

n = 10(even)

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

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

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

$=\frac{67+69}{2}$

$=\frac{136}{2}=68$

 

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