3.10 Bivariate descriptive statistics: homework  (Page 2/12)

The attached data was obtained from www.baseball-almanac.com* showing hit information for 4 well known baseball players. *http://cnx.org/content/m16836/latest/www.baseball-almanac.comResearch Question: Is there a difference between baseball players with respect to the type of hit? Based on the research question determine if row percentages or column percentages would be most appropriate for determining a relationship between variables. Next use your percentages to determine if there is a relationship or if the variables are independent.

An elementary school class ran 1 mile with a mean of 11 minutes and a standard deviation of 3 minutes. Rachel, a student in the class, ran 1 mile in 8 minutes. A junior high school class ran 1 mile with a mean of 9 minutes and a standard deviation of 2 minutes. Kenji, a student in the class, ran 1 mile in 8.5 minutes. A high school class ran 1 mile with a mean of 7 minutes and a standard deviation of 4 minutes. Nedda, a student in the class, ran 1 mile in 8 minutes.

• a Why is Kenji considered a better runner than Nedda, even though Nedda ran faster than he?
• b Who is the fastest runner with respect to his or her class? Explain why.

In a survey of 20 year olds in China, Germany and America, people were asked the number of foreign countries they had visited in their lifetime. The following box plots display the results.

• a In complete sentences, describe what the shape of each box plot implies about the distribution of the data collected.
• b Explain how it is possible that more Americans than Germans surveyed have been to over eight foreign countries.
• c Compare the three box plots. What do they imply about the foreign travel of twenty year old residents of the three countries when compared to each other?

Below are the scores from two different math classes on the same exam. Construct side by side outlier boxplots for each of the data sets. Include the five number summaries.

The graph below contains the data for youth voter turnout for the 2008 (Presidential Election) and 2010 (no Presidential Election). The 6 lowest and 6 highest youth turnout states for 2008 were: AR (31.0), GA (25.5), IA (63.5), ME (54.7), MN (62.9), NH (57.7), OH (57), OK (41.5), TN (41.4), TX (36.6), UT (30.9), WI (57.5). The 6 lowest and 6 highest youth turnout states for 2010 were: AR (15.2.0), DC (30.1), IN (9.9), KS (11.7), ME (31.4), NE (10.7), NM (13.5), ND (37.6), OR (32.9), SC (33.5), UT (11.8), WI (31.0). Based on this data and the graph and chart given answer the following questions.

1. What states are more than 1.5 IQR’s from the 2008 and 2010 first and third quartiles?
2. Which quartile contain the Minnesota youth turnout (27.9) data for 2010?
3. Which of the following statement can be said about the difference in the IQR of the 2008 and 2010 data?
   1. There is more data in the 2008 than the 2010 IQR since the area is larger.
   2. The range of percents in youth voting in 2010 was about the same as the rage in 2008.
   3. The median youth voter turnout in 2008 was higher than then state with the highest percentage of youth voter turnout.
   4. 50% of the states in 2010 were below the turnout of the state with the lowest youth voter turnout in 2008.