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Find the median of the data:

Question:

Find the median of the data:

133, 73, 89, 108, 94, 104, 94, 85, 100, 120

 

Solution:

Numbers are 133, 73, 89, 108, 94, 104, 94, 85, 100, 120

Arranging the numbers in ascending order

73, 85, 89, 94, 94, 100, 104, 108, 120, 133

n = 10 (even)

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

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

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

$=\frac{94+100}{2}$

$=\frac{194}{2}=97$

 

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