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Question
The mean and median of the data are same. If the numbers are arranged in ascending order, the value of x is 3, 5, x, 9, 11.
Options
6
7
8
9
MCQ
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Solution
7
Explanation:
Numbers are arranged in ascending order
3, 5, x, 9, 11
n = 5
Median = `(n + 1)/2`
= `(5 + 1)/2`
= `6/2`
= 3rd
Median = x
The sum of the numbers is = 3 + 5 + x + 9 + 11 = 28 + x
Mean = `(28 + x)/5`
The mean and median of the data are same.
`(28 + x)/5` = x
28 + x = 5x
28 = 5x − x
28 = 4x
x = `28/4`
x = 7
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