What are the best measures for the center and spread of this distribution? Why?

 Assignment – The Boxplot MATH-138 Online Statistics

Directions: Write out your solutions to the questions below on a separate sheet of paper. Then scan your written work, save it as a PDF file, and submit it on Canvas. Assignment: (20 points total)

1) The best way to learn about a boxplot is to draw one by hand. Below is a set of contrived data and steps for finding the values you will need for this boxplot. I encourage you to check your boxplot with your calculator but don’t let this be your first step. (17 pts)

20 15 40 40 12 54 35 38 51 81 31 21 27 32 28 39 85 23 48 41 a) Use the 1Var Stats command in your TI-83/84 graphing calculator to find the 5-number summary.

(3 pts)

b) Calculate the fences for a modified boxplot. (To receive credit, you must write the formulas and the values you used.) (5 pts)

c) Are there any outliers? If so, what are they? (2 pts)

d) Draw a modified boxplot using an appropriate scale. (Be sure to label your scale as well as the outlier boundaries, each value from the 5-number summary, and any outliers. Your drawing should be much more specific than what your calculator will give you.) (7 pts)

e) What are the best measures for the center and spread of this distribution? Why? (3 pts)