Question

10 observations 6,14,15,17,x+1,2x-13,30,32,34,43 are written in ascending order the median of th is 24.find the value of x

Answer 1

  No: of observations = 10 
As the No: of observations is even , 
Median = [( n/2th observation) + (n/2)+1 th observation] ÷ 2
n/2 th observation = 5 th observation = x+1
(n/2)+1 th observation = 6th observation = 2 x-13
[x+1 + 2x -13] ÷ 2 = median
[x+1 + 2x -13] ÷ 2 = 24
(3x - 12) ÷ 2 = 24
3x - 12 = 24 × 2 
3x - 12 = 48
3x = 48 + 12
3x =  60
x = 60 ÷ 3 
∴ x = 20

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Answer 2

Answer:

x=20

Step-by-step explanation:

n=10

[n/2]th term +[n+1/2} th term

                    2

5 th term + 6th term

              2

x+1 + 2x-13\2

3x-12/2 =24

3x-12=24*2

3x-12=48

3x=60

x=60/3

x=20