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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. |
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Answer» 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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