Questions: Explain how to find the range of a data set. What is an advantage of using the range as a measure of variation? What is a disadvantage Explain how to find the range of a data set. Choose the correct answer below. A. The range is found by subtracting the first data entry from the last data entry. B. The range is found by adding the first and last data entries. C. The range is found by adding the minimum and maximum data entries. D. The range is found by subtracting the minimum data entry from the maximum data entry.

Solution Steps

To find the range of a data set, you need to identify the minimum and maximum values in the data set and then subtract the minimum value from the maximum value. This gives you a measure of the spread of the data.

An advantage of using the range as a measure of variation is that it is simple to calculate and understand. A disadvantage is that it only considers the two extreme values and ignores the distribution of the rest of the data, making it sensitive to outliers.

The correct answer to how to find the range of a data set is: D. The range is found by subtracting the minimum data entry from the maximum data entry.

Given the data set \([3, 7, 2, 9, 4]\), we first identify the minimum and maximum values.

• Minimum value, \( \min = 2 \)
• Maximum value, \( \max = 9 \)

The range of the data set is calculated by subtracting the minimum value from the maximum value: \[ \text{Range} = \max - \min = 9 - 2 = 7 \]

Final Answer