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Chapter 2: Exploring Data with Tables and Graphs

Q7

Page 75

Scatterplot. In Exercises 5鈥8, use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation?

Car Weight and Fuel Consumption The table lists weights (pounds) and highway fuel consumption amounts (mpg) for a Hyundai Elantra, Nissan Altima, VW Passat, Buick Lucerne, Mercury Grand Marquis, Honda Civic, and Honda Accord.

Weight (lb)

2895

3215

3465

4095

4180

Highway (mpg)

33

31

29

25

24

Q8

Page 48

In Exercises 5鈥8, identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the summary. The frequency distributions are based on real data from Appendix B.

Blood Platelet Count of Females

Frequency

100-199

25

200-299

92

300-399

28

400-499

0

500-599

2

Q8

Page 65

Stemplots. In Exercises 7 and 8, construct the stem plot.

Diastolic Blood Pressure Refer to the data listed in Exercise 6. Identify the two values that are closest to the middle when the data are sorted in order from lowest to highest. (These values are often used to find the median, which is defined in Section 3-1.)

Q8

Page 56

Interpreting a Histogram. In Exercises 5鈥8, answer the questions by referring to the following Minitab-generated histogram, which depicts the weights (grams) of all quarters listed in Data Set 29 鈥淐oin Weights鈥 in Appendix B. (Grams are actually units of mass and the values shown on the horizontal scale are rounded.)

Gap What is a reasonable explanation for the gap between the quarters with weights between 5.5 grams and 5.8 grams and the group of quarters with weights between 6.0 grams and 6.4 grams? (Hint: Refer to the columns of quarters in Data Set 29 鈥淐oin Weights鈥 in Appendix B.)

Q9

Page 48

Normal Distributions. In Exercises 9 and 10, using a loose interpretation of the criteria for determining whether a frequency distribution is approximately a normal distribution, determine whether the given frequency distribution is approximately a normal distribution. Give a brief explanation.

Best Actresses Refer to the frequency distribution from Exercise 5

Q9

Page 75

Linear Correlation Coefficient In Exercises 9鈥12, the linear correlation coefficient r is provided. Use Table 2-11 on page 71 to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation?

Using the data from Exercise 5 鈥淏rain Volume and IQ,鈥 the linear correlation coefficient is r = 0.127.

Q9

Page 65

Time-Series Graphs. In Exercises 9 and 10, construct the time-series graph.

Gender Pay Gap Listed below are women鈥檚 median earnings as a percentage of men鈥檚 median earnings for recent years beginning with 1990. Is there a trend? How does it appear to affect women?

71.6 69.9 70.8 71.5 72.0 71.4 73.8 74.2 73.2 72.3 73.7 76.3 76.6 75.5 76.6 77.0 76.9 77.8 77.1 77.0 77.4 77.0

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