Question

which method can be used to find the range of a set of data? find the difference between the maximum and minimum values. find the difference between the upper and lower quartiles. find the median of the upper half of an ordered data set. find the sum of the maximum and minimum values.

Explanation:

Step1: Recall the definition of range

The range of a data - set is a measure of dispersion.

Step2: Analyze each option

• Option 1: The range is defined as \(R=\text{Max}-\text{Min}\), where \(\text{Max}\) is the maximum value and \(\text{Min}\) is the minimum value in the data - set.
• Option 2: The difference between the upper and lower quartiles is the inter - quartile range (\(IQR = Q_3 - Q_1\)).
• Option 3: The median of the upper half of an ordered data - set is the upper quartile (\(Q_3\)).
• Option 4: The sum of the maximum and minimum values (\(\text{Max}+\text{Min}\)) is not the range.

Answer:

Find the difference between the maximum and minimum values.