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Question
The numbers 12, 14, 22, 26, x, x + 2, 38, 45, 49, 51 are in ascending order. Their median is 34. The value of x is ______.
Options
31
33
34
36
MCQ
Fill in the Blanks
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Solution
The numbers 12, 14, 22, 26, x, x + 2, 38, 45, 49, 51 are in ascending order. Their median is 34. The value of x is 33.
Explanation:
There are 10 numbers, so the median is the average of the 5th and 6th terms.
In ascending order the 5th and 6th terms are x and x + 2.
So, `(x + x + 2)/2 = 34`
⇒ `(2x + 2)/2 = 34`
⇒ 2x + 2 = 68
⇒ 2x = 66
⇒ x = 33
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