Question

The median of 17,31, 12, 27, 15, 19, 23 is

• A. 19
• B. 20
• C. 21
• D. 22

Answer 1

The Correct Option is A

To solve the problem, we need to determine the median of the given set of numbers: \( 17, 31, 12, 27, 15, 19, 23 \).

1. Definition of Median:
The median is the middle value of a data set when the numbers are arranged in ascending order. If the data set has an odd number of elements, the median is the middle number. If the data set has an even number of elements, the median is the average of the two middle numbers.

2. Arranging the Numbers in Ascending Order:
First, arrange the given numbers in ascending order:

\[ 12, 15, 17, 19, 23, 27, 31 \]

3. Identifying the Median:
Since there are 7 numbers (an odd count), the median is the middle number. The middle position is the \( \frac{7 + 1}{2} = 4 \)-th number in the ordered list.

From the ordered list \( 12, 15, 17, 19, 23, 27, 31 \), the 4-th number is:

\[ 19 \]

4. Final Answer:
The median of the given numbers is \( {19} \).