Question

what does the range of a dataset tell you?
a. the average value
b. the difference between the highest and lowest values
c. the most common value
d. the middle value

Explanation:

The range of a dataset is calculated as \( \text{Range}=\text{Highest value}-\text{Lowest value} \). So it represents the difference between the highest and lowest values.

• Option a: The average value is calculated by \( \frac{\sum_{i = 1}^{n}x_{i}}{n} \) (mean) or other average - related measures, not the range.
• Option c: The most common value is the mode.
• Option d: The middle value (when data is ordered) is the median.

Answer:

B. The difference between the highest and lowest values