A: The best way to display this data would be a histogram because it is discrete and we want to see the distribution of the number of times per week that students eat vegetables.
B: There is one cluster in the data. The majority of students (16) eat vegetables 4 to 6 times per week.
C: The median is the best measure of center for this data as it is not affected by outliers and the data is not normally distributed. The median is 6.
Part A:
A histogram would be the most appropriate data display for this data as it is discrete data and we want to see the distribution of the number of times per week that students eat vegetables.
Part B:
There are no outliers in the data. The quartiles are Q1 = 4, Q2 = 6, and Q3 = 8. The IQR is Q3 - Q1 = 8 - 4 = 4. Any value that is more than 1.5 IQRs below Q1 or above Q3 would be considered an outlier. There are no values that meet this criteria.
There are no gaps in the data. The data is continuous from 1 to 9.
There is one cluster in the data. The majority of students (16) eat vegetables 4 to 6 times per week.
Part C:
The median is the best measure of center for this data as it is not affected by outliers and the data is not normally distributed. The median is 6.
The measures of center for the data are as follows:
| Measure of Center | Value |
| Mean | 6.22 |
| Median | 6 |
| Mode | 8 |
As you can see, the median is the only measure of center that is not affected by the outlier. Additionally, the median is a more accurate representation of the center of the data as the data is not normally distributed.