Question

Find the median and mean of the data set below:
16
4
9
34
10

Answer 1

To calculate the median and mean of the data set \( \{16, 4, 9, 34, 10\} \), we will first list the steps for finding both statistics.

### Step 1: Find the Median
1. **Sort the data in ascending order**:
\[
4, 9, 10, 16, 34
\]
2. **Identify the middle number**:
- Since there are 5 numbers (odd number of values), the median is the middle number.
- The middle number is the 3rd value in the sorted list, which is \( 10 \).

Thus, the median is:
\[
\text{Median} = 10
\]

### Step 2: Find the Mean
1. **Calculate the sum of all values**:
\[
4 + 9 + 10 + 16 + 34 = 73
\]
2. **Divide the sum by the number of values**:
- There are 5 values in the data set.
\[
\text{Mean} = \frac{73}{5} = 14.6
\]

Thus, the mean is:
\[
\text{Mean} = 14.6
\]

### Final Results
- **Median**: \( 10 \)
- **Mean**: \( 14.6 \)