Question

Question was provided via image upload.

Explanation:

Identify the data values

The problem asks for the range of the given data set representing the lengths of ponytails in inches.
Let's list the values from the table:
Row 1: \(12\), \(15\), \(14\), \(13.25\), \(11.25\), \(14.25\), \(12.25\), \(14\), \(12.25\), \(15.75\)
Row 2: \(10\), \(11\), \(15\), \(12\), \(11.5\), \(12\), \(11.75\), \(11.75\), \(13.25\), \(13.25\)

Find the maximum and minimum values

Using the Data Ordering knowledge point, we arrange or scan the values to find the extremes:

• Minimum value: \(10\)
• Maximum value: \(15.75\)

Calculate the range

The range of a data set is the difference between the maximum value and the minimum value:

$$ \text{Range} = \text{Maximum} - \text{Minimum} $$

$$ \text{Range} = 15.75 - 10 = 5.75\text{ in} $$

Match with the options

Let's look at the options provided in the image:

• A: \(3.75\text{ in}\)
• B: \(7.75\text{ in}\)
• C: \(4.5\text{ in}\)
• D: \(5.75\text{ in}\)

The calculated range of \(5.75\text{ in}\) matches option D.

Answer:

• (A) \(3.75\text{ in}\)
• (B) \(7.75\text{ in}\)
• (C) \(4.5\text{ in}\)
• (D) \(5.75\text{ in}\) (Correct answer)