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Chapter 1: Q 79. (page 70)
Quiz grades Joey鈥檚 first quiz grades in a marking period were
| 86 | 84 | 91 | 75 | 78 | 80 | 74 |
| 87 | 76 | 96 | 82 | 90 | 98 | 93 |
Calculate the mean. Show your work. Interpret your result in context.
Mean is Out of values, are above mean and are less than mean. Thus here mean is a balance point.
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The audience for movies Here are data on the percent of people in several age groups who attended a movie in the past months:
(a) Display these data in a bar graph. Describe what you see.
(b) Would it be correct to make a pie chart of these data? Why or why not?
(c) A movie studio wants to know what percent of the total audience for movies is to years old. Explain why these data do not answer this question.
| Age group | Movie attendence |
| 18 to 24 years | 83% |
| 25 to 34 years | 73% |
| 35 to 44 years | 68% |
| 45 to 54 years | 60% |
| 55 to 64 years | 47% |
| 65 to 74 years | 32% |
| 75 to and over | 20% |
The IQR Is the interquartile range a resistant measure of spread? Give an example of a small data set that supports your answer.
Healthy cereal? Researchers collected data on brands of cereal at a local supermarket. For each brand, the sugar content (grams per serving) and the shelf in the store on which the cereal was located ( = bottom, = middle, = top) were recorded. A dot-plot of the data is shown below. Compare the three distributions. Critics claim that supermarkets tend to put sugary kids鈥� cereals on lower shelves, where the kids can see them. Do the data from this study support this claim?
Do women study more than men? We asked the students in a large first-year college class how many minutes they studied on a typical weeknight. Here are
the responses of random samples of women and men from the class:
(a) Examine the data. Why are you not surprised that most responses are multiples of 10 minutes? Are there any responses you consider suspicious?
(b) Make a back-to-back stem plot to compare the two samples. Does it appear that women study more than men (or at least claim that they do)? Justify your answer.
Comparing investments Should you put your money into a fund that buys stocks or a fund that invests in real estate? The boxplots compare the daily returns (in percent) on a 鈥渢otal stock market鈥� fund and a real estate fund over a year ending in November
(a) Read the graph: about what were the highest and lowest daily returns on the stock fund?
(b) Read the graph: the median return was about the same on both investments. About what was the median return?
(c) What is the most important difference between the two distributions?
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