Question

mparing data sets with boxplots
oyster volume (cc)
which statements are true regarding the data displayed in the b
choose four correct answers.
oysters tend to have more volume than
mussels.
the median for the mussel volume is greater
than the median for the oyster volume.
mussel volume (cc)

Explanation:

To solve this, we analyze the boxplots:

Step 1: Analyze Median (Middle Line of Box)

• Oyster Volume: Median is \( 11 \) (middle line of oyster’s box).
• Mussel Volume: Median is \( 10 \) (middle line of mussel’s box).

Step 2: Analyze Spread/Range

• Oyster Volume: Minimum \( 6 \), Maximum \( 15 \); Interquartile Range (IQR) spans \( 8 \) to \( 13 \).
• Mussel Volume: Minimum \( 5 \), Maximum \( 13 \); IQR spans \( 7.5 \) to \( 11 \).

Step 3: Evaluate Statements (Partial Analysis for Given Option)

• “Oysters tend to have more volume than mussels”:
• Oyster median (\( 11 \)) > Mussel median (\( 10 \)).
• Oyster maximum (\( 15 \)) > Mussel maximum (\( 13 \)).
• Oyster’s IQR (middle 50% of data) is shifted right of mussel’s IQR.

Thus, this statement is true.

(Note: Since the full list of options is not visible, we analyze the provided statement. For the “median comparison” statement: Mussel median (\( 10 \)) < Oyster median (\( 11 \)), so that statement is false.)

For the Given Statement:

The statement “Oysters tend to have more volume than mussels” is true (based on median, maximum, and IQR analysis).

If this were a multiple-choice with this option, the correct answer (for this statement) is:

Answer:

The statement “Oysters tend to have more volume than mussels” is true (e.g., if it’s an option to select, mark it as correct).