Question

.The Median of the observations 9, 12, 14, x-5, X, X+2, 20 arranged in Ascending
order Is 12. Find x​

Answer 1

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Given observations :- 9, 12, 14, (x-5), x, (x+2), 20

Given meadian = 12

n= 7( odd) [n represents number of observations]

$\sf \: Median = \frac{n + 1}{2} th \: term$

$\sf \: 24 = \frac{7 + 1}{2}$

$\sf \: 24 = \frac{ \cancel 8}{ \cancel2} = 4th \: term$

Fourth term is (x-5)

Therefore, x-5=24

x=24+5

x=29

Therefore, 9, 12, 14, (29-5), 29, (29+2), 20

= 9, 12, 14, 24, 29, 31, 20

Hope it helps you.....