Question

Find the median and mean of the data set below:
45, comma, 8, comma, 25, comma, 38
45,8,25,38

Answer 1

To find the median and mean of the data set \( 45, 8, 25, 38 \), we will follow these steps:

**Step 1: Order the data set.**
The first step in finding the median is to arrange the numbers in ascending order:
\[
8, 25, 38, 45
\]

**Step 2: Calculate the median.**
Since there are four numbers (an even number of data points), the median will be the average of the two middle numbers.
The two middle numbers are \( 25 \) and \( 38 \).
\[
\text{Median} = \frac{25 + 38}{2} = \frac{63}{2} = 31.5
\]

**Step 3: Calculate the mean.**
The mean is calculated by summing all the numbers and dividing by the total count of numbers.
\[
\text{Mean} = \frac{8 + 25 + 38 + 45}{4} = \frac{116}{4} = 29
\]

**Final Results:**
- Median: \( 31.5 \)
- Mean: \( 29 \)