Question

How do you find the range of a data set

Answer 1

To find the range of a data set, follow these steps:

1. **Identify the maximum value**: Determine the highest number in your data set.

2. **Identify the minimum value**: Determine the lowest number in your data set.

3. **Calculate the range**: Subtract the minimum value from the maximum value using the formula:
\[
\text{Range} = \text{Maximum Value} - \text{Minimum Value}
\]

### Example:
Consider the following data set: 3, 7, 2, 9, 5.

1. **Maximum value**: 9
2. **Minimum value**: 2
3. **Calculate the range**:
\[
\text{Range} = 9 - 2 = 7
\]

So, the range of this data set is 7.

### Key Points:
- The range provides a measure of how spread out the values are in the data set.
- It is sensitive to extreme values (outliers), which can significantly affect the range.