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# Find the median of the data:

Question:

Find the median of the data:

83, 37, 70, 29, 45, 63, 41, 70, 34, 54

Solution:

Numbers are 83, 37, 70, 29, 45, 63, 41, 70, 34, 54

Arranging the numbers in ascending order

29, 34, 37, 41, 45, 54, 63, 70, 70, 83

n = 10 (even)

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

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

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

$=\frac{45+54}{2}$

$=\frac{99}{2}=49.5$

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