Question

Find the median and mean of the data set below:
43
33
19
41
5

Answer 1

To find the median and mean of the data set \( 43, 33, 19, 41, 5 \), we will follow these steps:

### Step 1: Find the Median

1. **Arrange the data in ascending order:**
\[
5, 19, 33, 41, 43
\]

2. **Determine the median:**
- The median is the middle value of a data set. Since there are 5 numbers (an odd count), the median is the third number in the sorted list.
- Median = 33 (the third number in the ordered list)

### Step 2: Find the Mean

1. **Calculate the sum of the numbers:**
\[
5 + 19 + 33 + 41 + 43 = 141
\]

2. **Divide by the number of values:**
- The number of values is 5.
\[
\text{Mean} = \frac{141}{5} = 28.2
\]

### Summary of Results

- **Median:** 33
- **Mean:** 28.2