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Find the median of the following data (1-8)

12, 17, 3, 14, 5, 8, 7, 15

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#### Solution

Given numbers are 12, 17, 3, 14, 5, 8, 7, 15

Arranging in increasing order 3, 5, 7, 8, 12, 14, 15, 17

n=8(even)

∴ Median =`(n^(th)/2 value + (n^(th)/2+1) value)/2`

= `(8^(th)/2 value + (8^(th)/2+1) value)/2`

= `(4^(th)value + 5^(th)value)/ 2`

= `(8+12) /2 = 20 / 2`

∴ Median = 10

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