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Question
The median of the following observations arranged in ascending order is 64. Find the value of x:
27, 31, 46, 52, x, x + 4, 71, 79, 85, 90
Options
60
61
62
66
Solution
62
Explanation:
In the given data number of terms are = 10 ...(Even)
Then, median = `(n/2 "th term" + (n/2 + 1)^"th" "term")/2`
But given medium = `(5^"th" "term" + 6^"th" "term")/2`
= `(x + x + 4)/2`
= `(2x + 4)/2`
= x + 2
But given median = 64
On comparing,
∴ x + 2 = 64
`\implies` x = 62
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