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Chapter 2: Q39E (page 94)
Calculate the mode, mean, and median of the following data:
18 10 15 13 17 15 12 15 18 16 11
Mode = 15.
Mean = 14.54.
Median = 15.
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Question: Misleading graph.Consider the following graphic, similar to one produced by the Silicon Alley Insider, an online publication for business news. The graph attempts to show the increasing trend in annual revenue produced by Craigslist compared to the decrease in newspaper classified ad sales.
a.Why might the graph be misleading? [Hint:Focus on the units of measure on the two verticalaxes.]
b.Redraw the graph, but use the same units of measure for both Craigslist revenue and newspaper ad sales. What conclusions can you draw from the redrawn graph?
Give the percentage of measurements in a data set that are above and below each of the following percentiles:
a. 75th percentile
b. 50th percentile
c. 20th percentile
d. 84th percentile
Consider the horizontal box plot shown below.
a.What is the median of the data set (approximately)?
b.What are the upper and lower quartiles of the data set (approximately)?
c.What is the interquartile range of the data set (approximately)?
d.Is the data set skewed to the left, skewed to the right, or symmetric?
e.What percentage of the measurements in the data set lie to the right of the median? To the left of the upper quartile?
f.Identify any outliers in the data.
Question:A company is analysing the prices at which its items are sold. Graph the relative frequency histogram for the 600 items summarized in the accompanying relative frequency table.
Do social robots walk or roll? A social (or service) robot is designed to entertain, educate, and care for human users. In a paper published by the International Conference on Social Robotics (Vol. 6414, 2010), design engineers investigated the trend in the design of social robots. Using a random sample of 106 social robots obtained through a Web search, the engineers found that 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. This information is portrayed in the accompanying graph.
a. What type of graph is used to describe the data?
b. Identify the variable measured for each of the 106 robot designs.
c. Use the graph to identify the social robot design that is currently used the most.
d. Compute class relative frequencies for the different categories shown in the graph.
e. Use the results from part d to construct a Pareto diagram for the data.
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