Answer:
To calculate the five number summary of the given data set 15, 9, 19, 7, 18, 23, 5, 22, 17, 3, 4, 2, 9, 18, and 14, we need to arrange the data in ascending order:
2, 3, 4, 5, 7, 9, 9, 14, 15, 17, 18, 18, 19, 22, and 23.
The five number summary consists of the following values:
Minimum: The smallest value in the data set is 2.
First Quartile (Q1): The median of the lower half of the data set is 7.
Median (Q2): The middle value of the data set is 14.
Third Quartile (Q3): The median of the upper half of the data set is 18.
Maximum: The largest value in the data set is 23.
Therefore, the five number summary of the given data set is:
Minimum = 2
Q1 = 7
Median = 14
Q3 = 18
Maximum = 23
Step-by-step explanation: