Question

1. what does calculating the range of a data set help you understand?

a. the average of the data
b. the spread between the highest and lowest values
c. the most frequently occurring value
d. the middle value of the data

Explanation:

The range of a data set is calculated as \( \text{Range}=\text{Maximum value}-\text{Minimum value}\). This formula directly gives the spread between the highest and lowest values in the data set.

• Option a: The average of the data is calculated using formulas like the mean (\(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\)), not the range.
• Option c: The most frequently occurring value is called the mode, not related to the range.
• Option d: The middle value of the data (when ordered) is the median, not the range.

Answer:

B. The spread between the highest and lowest values