Math 203 Course Project
You may only use quantitative data for this project.
The final project should be written in paragraph form, but should include all the information listed below.
Obviously, it will contain graphs and charts, but do not present the information as individual numbered
problems. Think of it as if you were writing an article to go into a newspaper or magazine.
- First, decide on a random variable that you are interested in knowing more about. You will be gathering
data for this variable. You may do your own survey to get the data (use sampling techniques described in
chapter 1) or you may use data found online. Your sample size should be no smaller than 10 and no larger
than 50. Define your population and describe how you got your sample data set. lnclude the raw data in
- ls your data discrete or continuous? ls your data nominal, ordinal, interval or ratio?
- Construct a frequency distribution for your data set using 5 to 8 classes (you choose how many). What is
your class width? Your frequency distribution should include class limits, class boundaries, class midpoints,
frequency, cumulative frequency, and relative frequency.
- Construct a histogram, frequency polygon and ogive for your data seU labeling each graph appropriately.
Describe the shape of your data (i.e. ls it symmetrical, skewed right or skewed left?).
- Calculate the measures of central tendency for your sample (mean, median, mode and midrange).
- Calculate the measures of variation for your sample (range, variance and standard deviation).
7 . Use Chebyshev’s Theorem to find the range in which at least 75% of the data fall.
- ldentify the five-number summary and find the interquartile range. Construct a boxplot of your data set.
Does your data contain any outliers (identify specific criteria used to determine)?
- Construct two probability questions about your data and solve each. Here, you are creating the problenn
and then solving. Examples below:
a. For discrete data: P(exactly X) ; P(at least X); P(at most X); P(less than X); P(more than X)
b. For continuous data: P(X between 2 values); P(more than X); P(less than X)
l-0. Constructa90% confidence intervalforthe population parameterfromyourdata (includethecriticalvalue
that would be used).
- Construct a hypothesis test using your data. Here, you will be making a guess about the population
parameter. Show both the traditional method (give the criticalvalue) and p-value method. Use a level of
significance of 0.05.
NOTE: The final project must be neat, organized and easy to read.
I will NOT accept nor grade any rough drafts or scratch work!l!
lf you are familiar with computer software like Excel, you may use that for the graphs, otherwise graphs may be
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