The swim instructor's class wanted to have a competition to see who could hold their breath the longest. The swim instructor timed all the swimmers and wrote down their times in seconds. Below are all their times:

{30, 25, 90, 15, 44, 43, 28, 52, 32, 29, 48, 40}

1) (3 pts) Find the mean and median of the data set.

Mean:

Median:

2) (5 pts) Find the "Five Number Summary" of the data set.

3) (4 pts) Find the following values of the data set: a. IQR =

b. Lower Outlier Boundary =

c. Upper Outlier Boundary =

d. Are there any outliers?

4) (6 pts) Draw a box-and-whisker plot swimmer's data.

5) (12 pts) Make a Standard Deviation table and find the Standard Deviation of swimmer's ability to hold their breath.

6) (2 pts) How many swimmers where within1sigma of the mean?