Question

oyster volume (cc)
6 8 11 13 15
5 6 7 8 9 10 11 12 13 14 15
5
mussel volume (cc)
7.5 10 11 13
which statements are true regarding the data displayed in the boxplots? check all that apply.
the median for the mussel volume is greater than the median for the oyster volume.
the range in data for the oyster volume is greater than for the mussel volume.
oysters tend to have more volume than mussels.
the iqr is less for the mussel volume than for the oyster volume.
there is greater variation of oyster volumes than mussel volumes.

Explanation:

Step1: Identify median values

Median of oyster volume is 11, median of mussel volume is 10. So, the median for the mussel volume is not greater than the median for the oyster volume.

Step2: Calculate range

Range of oyster volume = 15 - 6=9, range of mussel volume = 13 - 5 = 8. So the range in data for the oyster volume is greater than for the mussel volume.

Step3: Compare overall volumes

The box - plot of oyster volume is generally shifted to the right compared to mussel volume, so oysters tend to have more volume than mussels.

Step4: Calculate IQR

IQR of oyster volume = 13 - 8 = 5, IQR of mussel volume = 11 - 7.5 = 3.5. So the IQR is less for the mussel volume than for the oyster volume.

Step5: Analyze variation

Since the range and IQR of oyster volume are greater than those of mussel volume, there is greater variation of oyster volumes than mussel volumes.

Answer:

The range in data for the oyster volume is greater than for the mussel volume.
Oysters tend to have more volume than mussels.
The IQR is less for the mussel volume than for the oyster volume.
There is greater variation of oyster volumes than mussel volumes.