Question

Ten Observations 6,14,15,17,x+1,2x-13,30,32,34,43 are written in ascending order. The median of the date is 24. Find the value of x.

Answer 1

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MEDIAN = N+1/2

TOTAL OBSERVATION= 10

NO =10

MEDIAN = 10+1/2
= 5.5

5.5 MEANS THE AVERAGE OF 5TH AND 6TH TERM = x+1+2x-13/2 = 24

= 3x-12 =48

= 3x= 60

= x= 20

THEREFORE THE VALUE OF X = 20 ans.

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Answer 2

Given Median = 24.

Given observations are 6,14,15,17,x + 1, 2x - 13, 30,32, 34,43.

Total number of observations = 10.{Even}

⇒ Median = ((10/2)th observations + (10/2 + 1)th observations)/2

⇒ 24 = [5th observation + 6th observation]/2

⇒ 24 = (x + 1 + 2x - 13)/2

⇒ 48 = x + 1 + 2x - 13

⇒ 48 = 3x - 12

⇒ 60 = 3x

⇒ x = 20

Therefore, value of x = 20.

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