there are 10 no. written in asending order 6,14,15,17,x+1,2x-13,30,32,34,43. find mean
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Here, the arranged data is 6, 14, 15, 17, x + 1, 2x – 13, 30, 32, 34, 43
Total number of observations = 10
Here, 10 is an even number , therefore median will be the mean of (10 / 2)th and (10 / 2 + 1)th observation.
∴ Median = 5th observation + 6th observation / 2
= x + 1 + 2x - 13 / 2
= 3x + 12 / 2
But median of data is 24 (given)
⇒ 3x + 12 / 2 = 24 ⇒ 3x - 12 = 48 ⇒ 3x = 60 ⇒ x = 20
∴ The value of x = 20
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