Question

Median of \( x, 20x, \frac{x}{20}, 200x, \frac{x}{200} \) (where \( x>0 \)) is 20, then the value of \( x \) is:

• A. 20
• B. 40
• C. 10
• D. 30

Hint:

To find the median, always order the values first and then pick the middle one.

Answer 1

The Correct Option is A

We are given the numbers:
\( x, 20x, \frac{x}{20}, 200x, \frac{x}{200} \).
First, let's list them in ascending order. Since \( x>0 \), we can assume the order of the terms based on their values:
1. \( \frac{x}{200} \)
2. \( \frac{x}{20} \)
3. \( x \)
4. \( 20x \)
5. \( 200x \)
Now, the median of a set of 5 numbers is the middle value, which is the third number in the ordered set.
Thus, the median is \( x \), and we are told that the median is 20. So,
\[ x = 20 \] Thus, the value of \( x \) is 20.