Final answer:
The five number summary for the given data set is 17, 26, 31, 46, 52.
Step-by-step explanation:
The five number summary for the data set 17, 21, 26, 28, 31, 33, 41, 46, 52 is as follows:
- Minimum: The smallest value in the data set is 17.
- First Quartile (Q1): The median of the lower half of the data set, which is calculated by finding the median of the first four numbers. In this case, Q1 is 26.
- Median (Q2 or the second quartile): The middle value of the data set when it is arranged in ascending order. In this case, the median is 31.
- Third Quartile (Q3): The median of the upper half of the data set, which is calculated by finding the median of the last four numbers. In this case, Q3 is 46.
- Maximum: The largest value in the data set is 52.