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1) This graph shows the distribution of salaries (in thousands of dollars) for the employees of a large school district. Answer the questions that follow.
Source: http://4.bp.blogspot.com
a) Approximately how many employees make $77,000 or more per year?
b) What is the bin width here? Be careful.
c) Without calculating anything, how would you describe the typical salary of an employee of this school district?
2) Jessica is a freshman at the University of Minnesota, Duluth. She has been watching her weight because she is afraid of gaining that 'freshman fifteen' she keeps hearing about. She has weighed herself every Monday morning since school started. Here is a histogram showing the results in pounds of all of these Monday-Morning-Weigh-In's.
4) Here are the statistics from several of the Minnesota Wild players. We are going to analyze the Penalties in Minutes (PIM) data.
[Figure9]
a) Construct a histogram for the penalties in minutes for the Wild players included on that list.
b) Describe the distribution. Remember your S.O.C.C.S!
5) The following table lists the average life expectancy for people in several countries, as of 2010. Source: http://dataworldbank.org.
a) Construct a histogram for the distribution of life expectancies for these countries (start at Xmin = 45 and use a bin width of 5).
b) Based on the shape of your graph, do you expect the mean or median to be higher?
c) Calculate the range and the three measures of central tendency (mean, median & mode).
d) Which of these three measures of central tendency is most appropriate in this context? Explain.
6) Sketch a histogram that fits the following scenarios:
a) Symmetrical with a few high outliers and a few low outliers.
b) Strongly skewed right with no outliers.
c) Bimodal and symmetrical.
d) Skewed left with a few outliers.
e) Doesn't fit any of the descriptions we have learned.
Review Exercises
7) The local booster club is holding a raffle. There will be one prize of $1000, two prizes of $250, five prizes of $50, and 10 prizes of $25. They are selling 500 tickets at $10 each.
a) Construct a probability distribution table that shows the prizes and the probabilities of winning them.
b) What is the expected value of a single raffle ticket?
c) Is this raffle considered a "fair game"? Explain why or why not.
8) There is a fish bowl with 4 gold fish, 7 turquoise fish, and 5 pink fish, on the counter. Simon the cat is playing a game where he closes his eyes, reaches in to the bowl, grabs a fish and sees what color the fish is. He then puts the fish back and repeats the process. Find the following probabilities.
a) P(2 turquoise fish)
b) P(exactly one of the fish is gold)
c) P(a pink fish, then a gold fish)
9) If Simon changes the game so that he eats the fish after he takes them out of the bowl, find the following probabilities.
a) P(2 pink fish)
b) P(exactly one of the fish is turquoise)
c) P(no gold fish)
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Image Attributions
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