Question

The median of numbers 11, 10, 12, 13, 9 is

• A. 12.5
• B. 12
• C. 10.5
• D. 11

Hint:

For small datasets with odd counts, simply cross off values from both ends (highest and lowest) step-by-step until only the single middle value remains.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
The median is the middle value in a sorted list of numbers.
It divides the dataset into two equal halves.

Step 2: Key Formula or Approach:
1. Sort the numbers in ascending or descending order.
2. If the number of terms \(n\) is odd, the median is the value at position:
\[ \text{Position} = \frac{n + 1}{2} \]

Step 3: Detailed Explanation:
Given the unsorted dataset: \(11, 10, 12, 13, 9\)
Arrange these numbers in ascending order:
\[ 9, 10, 11, 12, 13 \] Here, the number of terms is \(n = 5\) (which is an odd number).
The position of the median is:
\[ \text{Position} = \frac{5 + 1}{2} = 3 \] The 3rd term in the ordered sequence is \(11\).

Step 4: Final Answer:
The correct option is 4, which corresponds to 11.