Questions: Describe how the range of a distribution is defined and calculated. Choose the correct answer below. A. The range of a data set divides the lowest fourth of a data set from the upper three-fourths. B. The range of a data set is the difference betweeh its highest and lowest data values. C. The range of a data set divides the lowest three-fourths of a data set from the upper fourth. D. The range of a data set is the difference between its median and most extreme value. Get more help - Clear all Final check

Describe how the range of a distribution is defined and calculated. Choose the correct answer below. A. The range of a data set divides the lowest fourth of a data set from the upper three-fourths. B. The range of a data set is the difference betweeh its highest and lowest data values. C. The range of a data set divides the lowest three-fourths of a data set from the upper fourth. D. The range of a data set is the difference between its median and most extreme value. Get more help - Clear all Final check
Transcript text: Describe how the range of a distribution is defined and calculated. Choose the correct answer below. A. The range of a data set divides the lowest fourth of a data set from the upper three-fourths. B. The range of a data set is the difference betweeh its highest and lowest data values. C. The range of a data set divides the lowest three-fourths of a data set from the upper fourth. D. The range of a data set is the difference between its median and most extreme value. Get more help - Clear all Final check
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Solution

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Solution Steps

The range of a distribution is defined as the difference between the highest and lowest data values in the data set. This is a measure of the spread of the data.

Step 1: Define the Data Set

The given data set is \( \{3, 7, 2, 9, 4, 5\} \).

Step 2: Identify the Maximum and Minimum Values

The maximum value in the data set is \( 9 \) and the minimum value is \( 2 \).

Step 3: Calculate the Range

The range \( R \) is calculated using the formula: \[ R = \text{max} - \text{min} = 9 - 2 = 7 \]

Final Answer

The range of the data set is \( \boxed{7} \).

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