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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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El Ni帽o and the monsoon It appears that El Ni帽o, the periodic warming of the Pacific Ocean west of South America, affects the monsoon rains that are essential for agriculture in India. Here are the monsoon rains (in millimeters) for the strong El Ni帽o years between and
(a) To make a stem plot of these rainfall amounts, round the data to the nearest 10, so that stems are hundreds of millimeters and leaves are tens of millimeters. Make two stem plots, with and without splitting
the stems. Which plot do you prefer?
(b) Describe the shape, center, and spread of the distribution.
(c) The average monsoon rainfall for all years from to is about millimeters. What effect does El Ni帽o appear to have on monsoon rains?
A survey was designed to study how business operations vary according to their size. Companies were classified as small, medium, or large. Questionnaires were sent to randomly selected businesses of each size. Since not all questionnaires in a survey of this type are returned, researchers decided to investigate the relationship between the response rate and the size of the business. The data are given in the following two-way table.
What percent of all small companies receiving questionnaires responded?
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
U.S. women鈥檚 soccer鈥� Earlier, we examined data on the number of goals scored by the U.S. women鈥檚 soccer team in games during the season. The dot plot below displays the goal differential for those same games, computed as the U.S. score minus the opponent鈥檚 score
(a) Explain what the two dots above represent.
(b) What does the graph tell us about how well the team did in ? Be specific.
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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