Question

compare the two box plots and use the drop - down menus to determine where kevin should plan to go for vacation. what is the interquartile range for ski resort a? what is the interquartile range for ski resort b?

Explanation:

To determine the interquartile range (IQR) for a box plot, we use the formula \( IQR = Q_3 - Q_1 \), where \( Q_1 \) is the first quartile (25th percentile) and \( Q_3 \) is the third quartile (75th percentile).

For Resort A:

Looking at the box plot for Resort A:

• The left edge of the box ( \( Q_1 \)) is at 250 inches.
• The right edge of the box ( \( Q_3 \)) is at 300 inches.

Step 1: Calculate \( IQR \) for Resort A

\( IQR = Q_3 - Q_1 = 300 - 250 = 50 \)

For Resort B:

Looking at the box plot for Resort B:

• The left edge of the box ( \( Q_1 \)) is at 300 inches.
• The right edge of the box ( \( Q_3 \)) is at 375 inches.

Step 1: Calculate \( IQR \) for Resort B

\( IQR = Q_3 - Q_1 = 375 - 300 = 75 \)

Answer:

s:

• Interquartile range for Resort A: \( \boldsymbol{50} \)
• Interquartile range for Resort B: \( \boldsymbol{75} \)