Question

If the median of \(24,27,28,31,34,x,37,40,42,45,50\) is 35, then the value of \(x\) is

• A. \(35\)
• B. \(36\)
• C. \(34.5\)
• D. \(35.5\)

Hint:

For odd number of terms, median is the middle term directly.

Answer 1

The Correct Option is B

Step 1: Count terms.
There are 11 numbers (odd). Median = 6th term when ordered.
Step 2: Arrange.
Sequence is already ordered: 24,27,28,31,34,\(x\),37,40,42,45,50.
Median = 6th term = \(x\).
Step 3: Use condition.
Median = 35 \(\Rightarrow x=35\).
Wait, option check: 35 corresponds to (1), not (2). Correct is (1) 35.