Overview
Using the data in Table 3.1, make a frequency table and a histogram for the language development variable data in the Waite et al. (2015) study.
10. A distribution has skewness of –2.5 and a kurtosis of +1.8. a. Draw approximately what this distribution should look like. b. What terms would you use to describe this distribution?
11. A distribution has a skewness of +4.1 and a kurtosis of –1.1. a. Draw approximately what this distribution should look like. b. What terms would you use to describe this distribution?
12. A distribution has a skewness of –0.14 and a kurtosis of +0.09. a. Draw approximately what this distribution should look like. b. What terms would you use to describe this distribution?
13. Build a stem-and-leaf plot for the sibling age data in Table 3.1.
14. Create a pie chart showing the percentage of subjects in Table 3.1 who gave each response for the language development data in the Waite et al. (2015) study.
15. The following data represent the height of 26 statistics students as measured in inches: 62 63 62 72 56 64 62 63 68 73 60 61 68 70 59 62 62 67 63 67 62 76 64 69 63 67 a. Create a frequency table for these data. b. Create a histogram for these data with an interval width of 1 unit. c. Create a frequency polygon for these data with an interval width of 1 unit. d. Create a histogram for these data with an interval width of 3 units.
e. Create a frequency polygon for these data with an interval width of 3 units. f. Create a stem-and-leaf plot for these data.
16. Create a scatterplot for the last two variables in Table 3.1 (i.e., “Sibling understands me” and “Language development”). Note that some subjects’ dots will be on top of each other in this scatterplot. a. What does this scatterplot tell you about your subjects? b. What does this scatterplot tell you about the two variables in the dataset?
17. Karen is examining data from her company’s website. In a random sample of 300 visitors to the website, 114 left the website immediately (within 1 minute), 120 left the website later but did not buy anything, and 66 bought an item on the website. a. Create a bar graph using this information. b. Create a pie chart using this information. c. Why is a histogram not appropriate for Karen’s data?
18. What are two ways that people can create misleading visual models?
19. The data below show the average price of a US movie ticket for the past several years (data from Box Office Mojo). 2006: $6.55 2007: $6.88 2008: $7.18 2009: $7.50 2010: $7.89 2011: $7.93 2012: $7.96 2013: $8.13 2014: $8.17 2015: $8.34 2016: $8.65 a. Create a line graph using the trend data. b. What can you learn about ticket prices over time from the visual model?
20. The skewness value for a distribution is 0.10, and the kurtosis value is –0.60. How would you describe this distribution?
21. Find some data online and use them to create a visual model. I recommend using the Statistics Canada, US Census Bureau, or the UK Office for National Statistics websites, all of which provide high-quality, accurate data for free.