The numbers 50, 42, 35, (2x + 10), (2x – 8), 12, 11, 8 have been written in a descending order. If their
median is 25, find the value of x.
We know that n = 8 which is even
It is given that median = 25
We can write it as
½ {(n/2)th term + (n/2 + 1)th term} = 25
By substituting the values
½ {(8/2)th term + (8/2 + 1)th term} = 25
So we get
½ {4th value + 5th value} = 25
It can be written as
(2x + 10 + 2x - 8)/2 = 25
On further calculation
4x + 2 = 50
By subtraction
4x = 48
By division
x = 12
Therefore, the value of x is 12.
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