Find the median of the following data: 6, 5, 3, 2, 4, 5, 2, 4, 5

Question

ScanSolve AI Tutor · Accepted Answer

The problem asks us to find the median of the given set of numbers.

The numbers are: 6, 5, 2, 3, 2, 4, 2, 3, 5, 4.

Arrange the numbers in ascending order.
$2, 2, 2, 3, 3, 4, 4, 5, 5, 6$
Count the total number of values ( $n$ ).
There are 10 numbers in the set, so $n = 10$ .
Determine the position of the median.
Since $n$ is an even number, the median is the average of the two middle values. These are the values at positions $\frac{n}{2}$ and $\frac{n}{2} + 1$ .
The positions are $\frac{10}{2} = 5$ and $\frac{10}{2} + 1 = 6$ .
So, we need to find the 5th and 6th values in the ordered list.
Identify the 5th and 6th values.
The ordered list is: 2, 2, 2, 3, 3, 4, 4, 5, 5, 6
The 5th value is 3.
The 6th value is 4.
Calculate the median.
The median is the average of the 5th and 6th values.
$\text{Median} = \frac{3 + 4}{2}$ $\text{Median} = \frac{7}{2}$ $\text{Median} = 3.5$
The median of the given numbers is $\text{3.5}$ .

Answer