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1) The following is data representing the percentage of paper packaging manufactured from recycled materials for a select group of countries.
2) At the local veterinarian school, the number of animals treated each day over a period of 20 days was recorded.
a) Construct a stem plot for the data
b) Describe the distribution thoroughly. Remember your S.O.C.C.S.
(shape, outliers, context, center and spread)
3) The following table reports the percent of students who took the SAT for the 20 U.S. States with the highest participation rates for the 2004 SAT test. Source: http://mathforum.org
a) Create a split-stem plot for the data.
b) Find the median percentage for this data.
c) If we included the data from the other 30 states, would our mean and median be higher or lower? Explain.
d) Describe the distribution thoroughly. Remember your S.O.C.C.S! Specifically identify any states that stand out.
4) This stem plot is one that looks too crowded.
a) Create a split-stem plot for this example.
b) Name at least two things that are visible in the second plot that were not apparent in the first plot.
c) Invent a scenario that this data could represent.
5) Several game critics rated the Wow So Fit game, on a scale of 1 to 100 (100 being the highest rating). The results are presented in this stem plot:
a) Find the three measures of central tendency for the game rating data (mean, median and mode).
b) Which of these three measures of central tendency gives the best impression of the 'average' (typical) rating for this game? Explain.
6) These dot plots do not have any numbers or context. For each of the following dot plots:
a) Identify the shape of each distribution and whether or not there appear to be any outliers.
b) For each plot, determine whether the mean or median would be greater, or if they would be similar.
c) Suggest a possible variable that might have such a distribution. (In other words, invent a context that fits the graph.)
i)
ii)
iii)
iv)
7) This table displays statistics for 21 of the Wild players for 2010-2011 regular season games. We are going to analyze the variable 'GP', which stands for games played.
[Figure17]
source: http://wild.nhl.com. July 25, 2011
a) Create a stem plot for the number of games played by these Wild players.
b) Calculate the mean, median, mode, range for the number of games played by these Wild players.
c) Describe the distribution of the number of games played by these players. Remember your S.O.C.C.S!
8) Now, you will examine the +/- data.
a) Find out what +/- stands for?
b) Construct a dot plot to show the +/- data.
c) Describe the distribution.
Review Exercises
9) A random poll was conducted in Springfield to determine what percent of people enjoy watching The Simpsons. Of the 1245 people surveyed, 1002 said that they do enjoy watching The Simpsons. Identify each of the following.
a) population of interest
b) parameter of interest
c) sample
d) statistic
e) margin of error
f) 95% confidence interval
f) confidence statement
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