Question

Find the median and mean of the data set below:
30
7
2
10
19

Answer 1

To find the median and mean of the given data set, let's first organize the data set:

**Data set:** 30, 7, 2, 10, 19

### Step 1: Sort the data

Sorting the data in ascending order:

2, 7, 10, 19, 30

### Step 2: Find the median

The median is the middle value of the sorted data. Since there are 5 numbers (an odd amount), the median is the third number in the sorted list.

**Median:** 10

### Step 3: Find the mean

The mean is calculated by summing all the numbers and then dividing by the total count of numbers.

\[
\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}
\]

**Sum of values:**
\[
2 + 7 + 10 + 19 + 30 = 68
\]

**Number of values:** 5

\[
\text{Mean} = \frac{68}{5} = 13.6
\]

### Summary

- **Median:** 10
- **Mean:** 13.6