Determine the range for this data: 4,7,3,16,5,22,8

To determine the range of a set of data, you subtract the smallest value from the largest value.

Given the data set: \(4, 7, 3, 16, 5, 22, 8\)

1. **Identify the smallest and largest values**:
   - Smallest value: \(3\)
   - Largest value: \(22\)

2. **Calculate the range**:
   \[
   \text{Range} = \text{Largest value} - \text{Smallest value} = 22 - 3 = 19
   \]

So, the range of this data set is **19**.

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:

1. What is the definition of the range in statistics, and how is it used?
2. How would you find the range for a different data set, such as \(10, 15, 2, 8, 14\)?
3. What are some limitations of using the range as a measure of data spread?
4. How does the range differ from other measures of variability, like variance or standard deviation?
5. Can the range ever be negative? Why or why not?

**Tip:** Remember, the range only takes into account the extreme values of a data set, which means it does not provide information about the distribution of the other data points.

Learn how to calculate the range of a dataset including values 4, 7, 3, 16, 5, 22, and 8. Understand the method of finding the range by subtracting the smallest value from the largest value. Suitable for students in Grades 6-8.

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