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
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Answered by
568
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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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
Please mark as brainliest ...
Anonymous:
what ??
Answered by
116
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
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