please use this data

18, 27, 19, 19,18, 17, 18 ,46 ,19, 17, 32, 18, 19, 26, 24, 30, 21 ,18, 19, 22, 22, 21, 18, 19, 20, 30, 32, 19, 18, 19, 18, 20, 50, 20, 18, 18, 18 , 22, 21, 41, 18, 21, 17, 40, 18, 19, 28, 26, 19, 41

1.Using the original data, find the sample mean and sample standard deviation for the age of the students.

Mean___________Standard deviation___________

2.Using 5 classes, find the class width ____________

Complete the frequency table

Class limits Class boundaries Midpoints Frequencies Relative frequencies Cumulative frequencies

Construct a histogram for the ages. (Use 5 classes)

Describe the shape of the distribution.

Using the grouped data from the frequency table find the

Mean_____________Standard Deviation_____________

How do these values compare to the ones you found using ungrouped data?

3.Construct a box and whiskers for the ages. Use the original data!

4.Construct a stem and leaf for the ages. Use the original data, be sure

to include a key.