Question

Find the median of the following set of numbers:3,4,6,8,9,10

Answer 1

To find the median of a set of numbers, you first need to arrange them in ascending order (if they are not already sorted), and then find the middle value.

The given set of numbers is: 3, 4, 6, 8, 9, 10.

This set is already in ascending order, and it has 6 numbers (an even count).

To find the median for an even set of numbers, you take the average of the two middle numbers. The two middle numbers in this set are the 3rd and 4th numbers:

- 3rd number: 6
- 4th number: 8

Now, calculate the average of these two middle numbers:

\[
\text{Median} = \frac{6 + 8}{2} = \frac{14}{2} = 7
\]

Thus, the median of the set of numbers is \( 7 \).