To find the range of a data set, you need to subtract the smallest value from the largest value in the set.

In Data Set E, the values are:

• 152
• 64
• 20
• 96
• 38

1. Find the largest value: 152
2. Find the smallest value: 20

Now, calculate the range: $\text{Range} = \text{Largest Value} - \text{Smallest Value} = 152 - 20 = 132$

Answer: The range of the data set is 132.

Would you like more details, or do you have any questions?

Here are some related questions to expand on this topic:

1. What is the difference between range and standard deviation?
2. How is the range affected by extreme values in a data set?
3. Can two data sets have the same range but different distributions?
4. How do you find the mean of this data set?
5. What are other measures of spread besides the range?

Tip: Range only gives a quick sense of spread but doesn't account for how data points vary within the set.