Question

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

Answer 1

To find the mean and median of the data set \(30, 7, 2, 10, 19\), we can follow these steps:

### Mean Calculation

1. **Sum the Numbers**:
\[
30 + 7 + 2 + 10 + 19 = 68
\]

2. **Count the Numbers**:
There are 5 numbers in the data set.

3. **Calculate the Mean**:
\[
\text{Mean} = \frac{\text{Sum of the numbers}}{\text{Count of the numbers}} = \frac{68}{5} = 13.6
\]

### Median Calculation

1. **Sort the Numbers**:
\[
2, 7, 10, 19, 30
\]

2. **Find the Middle Number**:
Since there are 5 numbers (an odd count), the median is the middle number. In the sorted list:
- The middle number is the 3rd number, which is \(10\).

### Summary
- **Mean**: \(13.6\)
- **Median**: \(10\)