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Chapter 1: Q 109. (page 74)
Which of the following is least affected if an extreme high outlier is added to your data?
(a) Median
(b) Mean
(c) Standard deviation
(d) Range
(e) Maximum
The correct option is (a) Median.
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Feeling sleepy? The first four students to arrive for a first-period statistics class were asked how much sleep (to the nearest hour) they got last night. Their responses were and
(a) Find the standard deviation from its definition. That is, find the deviations of each observation from the mean, square the deviations, then obtain the variance and the standard deviation.
(b) Interpret the value of you obtained in (a).
(c) Do you think it鈥檚 safe to conclude that the mean amount of sleep for all students in this class is close to hours? Why or why not?
Hit movies According to the Internet Movie Database, Avatar is tops based on box office sales worldwide. The following table displays data on several popular movies.
(a) What individuals does this data set describe?
(b) Clearly identify each of the variables. Which are quantitative? In what units do you think they are measured?
(c) Describe the individual in the highlighted row.
or, in general, compare related quantities.
Shopping spree A marketing consultant observed 50 consecutive shoppers at a supermarket. One variable of interest was how much each shopper spent in the store. Here are the data (in dollars), arranged in
increasing order:
(a) Round each amount to the nearest dollar. Then make a stem plot using tens of dollars as the stems and dollars as the leaves.
(b) Make another stem plot of the data by splitting stems. Which of the plots shows the shape of the distribution better?
(c) Write a few sentences describing the amount of money spent by shoppers at this supermarket.
The National Survey of Adolescent Health interviewed several thousand teens (grades to ). One question asked was 鈥淲hat do you think are the chances you will be married in the next ten years?鈥� Here is a two-way table of the responses by gender:
What percent of females thought that they were almost certain to be married in the next ten years?
(a) About (c) About (e) About
(b) About (d) About
Population pyramids Refer to Exercise . Here is a graph of the projected population distribution for China in the year . Describe what the graph suggests about China鈥檚 future population. Be specific.
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