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Sumo Statistics 1st Term
Project
Address as many definitions and concepts from each chapter (1-4 and 10) as you can
using your Sumo Wrestling data. No more than 2 people per group (I reserve the right
to veto group choices)! Below are some ideas to guide you (though they are not by any
means exhaustive - and all items are expected, at the minimum). The idea is for you to
take your data to illustrate concepts; generate examples as needed. Use the “Special
Problems” handout to guide your report (on the website). Show the work in arriving at
your conclusions.
All work should be word-processed at every check; all graphs should be labeled. Your
report should include an introduction, analysis (with all calculations and interpretations
of charts/graphs/numbers as they are presented), and a conclusion (number your pages) –
no title page is needed. Reports should not be longer than 12 pages! Similar to the
special problems, attention will be given to mathematical methods and grammar.
This is the last graded assignment this semester – do the fantastic job I know you can do!
Pay attention to deadlines (see below) – if you do not have your assignments done per
checkpoint, no points will be awarded back later.
Deadlines
35 pt check: Chapters 1, 2, and 3. Due _________
45 pt check: Chapters 4 and 10. Due __________
35 pt final check: 5 points per chapter, 5pts for Intro, 5 points for Conclusion.
115 pts available
Chapter 1
1) What kind of measurements are these? What kind of data? (2pts)
2) Is this an appropriate sample size? Discuss (1pt)
3) Demonstrate a graph of your results using percentages.(2pts)
4) Address missing data, distortions, or partial pictures. (1pt)
5) What kind of study is this? What kind of sample is this? (2pts)
Chapter 2
1) Construct a frequency table/distribution for a set of data (you decide the
category) (2pts)
2) Identify the lower, upper class limits, class boundaries, midpoints, and width
(5pts)
3) Construct a histogram for at least two categories (2pts)
4) Construct a stemplot or dotplot from your choice of data (2 pts)
Chapter 3
1) Identify the center, shape, and spread of the two sets of data you used for your
histogram. Identify all measures of center (mean, median, midrange, mode) and
2)
3)
4)
5)
6)
7)
all measures of spread (IQR, standard deviation, five number summary,
range, and variance) (5pts)
Find the mean from your frequency distribution table (Chapter 2, #1) (1pt)
Address the Empirical Rule (or Chebyshev’s Theorem if the Empirical Rule
does not apply) to a set of data; include a graph. (2pts)
For a set of data, find the z-score from a data point that you choose after finding
the mean and standard deviation from that data set and decide if it is an ordinary
value. Interpret the z-score; what does it mean? (2pts)
Illustrate the use of percentiles for a data set (2pts)
Are there any outliers in the weight data set? Which one(s)? How do you know
for sure? (2pts)
Construct a boxplot of a category (with labels) (2pts)
Chapter 4
1) Define an event, a simple event, and the sample space within your data set (2pts)
2) Draw a Venn Diagram illustrating disjoint and joint probabilities (4pts)
3) Draw a tree diagram (3pts)
Use the tree diagram to illustrate
a) The multiplication rule (1pt)
b) Conditional probability (1pt)
4) Construct a two-way table (2pts)
Use your two-way table to calculate probabilities using:
a) The addition rule (1pt)
b) The multiplication rule (1pt)
c) The compliment rule (1pt)
5) Calculate the proportion of Sumo wrestlers within a specific weight/height/age
range and design and carry out a simulation to produce similar results.
What application did you use (Statdisk, calculator, random digit table)?
Explain (3pts)
6) Illustrate the Fundamental Counting Rule, the Permutations Rule, and the
Combinations Rule through specific examples (at least one example per rule).
(3pts)
Chapter 10
1) Identify two variables (explanatory and response) you can perform correlation
on (2pts)
2) Find the correlation coefficient and the correlation of determination (2pts)
3) Identify the form, direction, and strength of the correlation (2pts)
4) Draw the following graphs:
a) Scatterplot without the regression line (2pts)
b) Scatterplot with the regression line and regression equation (y-hat)
(2pts)
5) Discuss any outliers. Are there any influential points? How do you know? (2pts)
6) Draw a residual plot. Discuss what it means (2pts)
7) Can you use your line for prediction? If not, what should you use and why? (2pts)
8) Identify the explained and total variation, then use this to find the coefficient of
determination. What does this mean? (3pts)
9) Pick a point for x (within your range of data) and predict a value for y. With a
5% significance level, calculate the margin of error and the resulting prediction
interval. (4pts)
PROJECT DUE DATE: Midterm Day for your Period.