Guess Your Teacher’s Age (ouch)

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Presentation transcript:

Guess Your Teacher’s Age (ouch) 34 35 32 36 40  38  27  42  30 37 25  30 37  28  39  31 35 32 28  29 20  Pick any graph you want to display your data. Find: Measures of center (mean, median) Spread (IQR, 5# summaries, s, variance, range) Shape Which pair should you use? S/mean or 5# summary/median? Why?  Were any of these guesses unusual? Why?

On September 24, 2006, Barry Bonds hit his 734th career home run and broke Hank Aaron’s National League record. Does that make Bonds a better home run hitter? Perhaps we should compare their National League records up through 2004. Here are Bonds’s numbers through 2004, arranged in increasing order: 16 19 24 25 25 25 33 33 33 34 34 37 37 40 42 45 45 46 46 49 73 Here are Aaron’s National League numbers (1954–1974), arranged in increasing order: 13 20 24 26 27 29 30 32 34 34 38 39 39 40 40 44 44 44 44 45 47 Here are parallel boxplots for the two players (Bonds above and Aaron below):    (a) Determine the five-number summaries for Bonds and Aaron.  (b) Use the graph and your summary statistics to write a few sentences comparing Bonds and Aaron as home run hitters.

A Richmond television station used a questionnaire to gather data on the ages of viewers of ACTION, a program aimed at a young audience. Here is a Minitab stemplot of the data:  6 0 566899 (16) 1 0012223445667789 20 2 00123346 12 3 0135 8 4 28 6 5 025 3 6 05 1 7 1 8 1 9 1 10 1 11 1 12 0 Describe the shape, center, and spread of the distribution. Comment on any other feature of the plot that needs to be addressed.

1) Mary measures the weights of five newly hatched pythons in ounces 1) Mary measures the weights of five newly hatched pythons in ounces. John converts Mary’s measurements to grams. There are 28.35 grams in an ounce. Here are Mary’s results:   (a) Calculate the mean and standard deviation of Mary’s measurements using the formula for each.   (b) Show how you can calculate the mean and standard deviation of John’s weights in grams without converting the weight of each python to grams. 2) Use graphs and numerical summaries to describe how the following three data sets are similar and how they are different. A: 5, 7, 9, 11, 13, 15, 17 B: 5, 6, 7, 11, 15, 16, 17 C: 5, 5, 5, 11, 17, 17, 17 Python 1 2 3 4 5 Mary 1.13oz 1.02oz 1.23oz 1.06oz 1.16oz