Before class: You may use these notes from Dan Schuster (or make your own notes) and mark them up with questions or notes using the videos and/or book. His notes have a different chapter number since he is using a different book. Come to class with questions on the notes and the practice problems.
Practice Problems
1. Complete the 5 number summary (median, mean, Q1, Q3 and IQR) for the following set of data.
Two die were rolled 10 times with the following outcomes:
6, 9, 10, 10, 8, 4, 11, 10, 2, 8
(Answers 8.5, 7.8, 6, 10, 4) See video 1.
2. Complete the 5 number summary (median, mean, Q1, Q3 and IQR) for the following set of data.
We’ll use data for travel times in minutes to work.
30, 20, 10, 40, 25, 20, 10, 60, 15, 40, 5, 30, 12, 10, 10
(Answers: 20 minutes, 22.5 minutes, 15 minutes, 42.5 minutes, 27.5 minutes) see video 1.
3. (Refer to Videos 2 and 3) Make a box and whisker plot for the number of home runs hit by Barry Bond’s over each of his complete seasons.
16, 25, 24, 19, 33, 25, 34, 46, 37, 33, 42, 40, 37, 34, 49, 73, 46, 45, 45, 26, 28
Answers below.
(Answers: Min = 16, Q1 = 25.5, Median=34, Q3 = 45, Max = 73) see video 2. Also a picture of the box plot is on video 2.
4. The following data is for weekend exercise time (in minutes) for 20 males and 20 females.
Male - 43.5, 91.5 7.5, 0.0, 0.0, 28.5, 199.5, 57.0, 142.5, 8,0, 9.0, 36.0, 0.0, 78.0, 34.5, 0,0, 57.0, 151.5, 8.0, 0.0
Female - 10, 90.6, 48.5, 50.4, 57.4, 99.6, 0, 5, 0, 0, 5, 2, 10.5, 5, 47, 0, 5, 54, 0, 48.6
Construct a comparative box plot and comment on the differences and similarities between the distributions.
Numerical answers: (Male Q1=3.75, median =31.5, Q3=67.5, Female Q1=1.0, Median = 7.5, Q3=49.5)
VIDEOS
Video 1: Measures of Central Tendency, Spread and the 5 Number Summary
Video 2: Box and Whisker Plots (No outliers in this version.)
Video 3: Using your TI-84 to create a Box and Whisker Plot
(I didn't create this since there was already a very good video on youtube that should be helpful.)
Video 4: Using Histograms and Box Plots to describe data
Video 5: Standard Deviations