Final answer:
Jason's basketball game data set has a maximum value of 33, a minimum value of 9, a median of 17, a first quartile of 13, and a third quartile of 23.5.
Step-by-step explanation:
The question involves analyzing a set of data representing the number of baskets scored by Jason in each basketball game.
- Maximum value: This is the highest number in the data set, which is 33.
- Minimum value: This is the lowest number in the data set, which is 9.
- Median: To find the median, you need to arrange the numbers in ascending order and then find the middle number. For an odd number of observations, the median is the middle number. Here, after arranging the data (9, 12, 14, 16, 17, 18, 20, 27, 33), the median is 17.
- First quartile (Q1): This is the median of the lower half of the data set. After removing the median and focusing on the lower half (9, 12, 14, 16), the middle value between 12 and 14 is 13. Therefore, the first quartile is 13.
- Third quartile (Q3): This is the median of the upper half of the data set. After removing the median and focusing on the upper half (18, 20, 27, 33), the middle value between 20 and 27 is 23.5. Therefore, the third quartile is 23.5.
Summary of Values:
- Maximum value: 33
- Minimum value: 9
- Median: 17
- First quartile: 13
- Third quartile: 23.5