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Chapter 1: Q 104. (page 73)
What do they measure? For each of the following summary statistics, decide (i) whether it could be used to measure center or spread and (ii) whether it is resistant.
(a)
(b)
Part (a) The formula is is a formula to measure the spread of the data.
Part (b) The formula is to measure the resistance.
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Income and education level Each March, the Bureau of Labor Statistics compiles an Annual Demographic Supplement to its monthly Current Population Survey.44 Data on about individuals between the ages of data-custom-editor="chemistry" who were employed full-time were collected in one of these surveys. The boxplots below compare the distributions of income for people with five levels of education. This figure is a variation of the boxplot idea: because large data sets often contain very extreme observations, we omitted the individuals in each category with the top and bottom of incomes. Write a brief description of how the distribution of income changes with the highest level of education reached. Give specifics from the graphs to support your statements.
Here, once again, is the stem plot of travel times to work for randomly selected New Yorkers. Earlier, we found that the median was minutes.
Based only on the stem plot, would you expect the mean travel time to be less than, about the same as, or larger than the median? Why?
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?
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?
You look at real estate ads for houses in Naples, Florida. There are many houses ranging from in price. The few houses on the water, however, have prices up to . The distribution of house prices will be
(a) skewed to the left.
(b) roughly symmetric.
(c) skewed to the right.
(d) unimodal.
(e) too high.
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