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Chapter 2: Q91. (page 116)
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
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Question: Given a data set with a largest value of 760 and a smallest value of 135, what would you estimate the standard deviation to be? Explain the logic behind the procedure you used to estimate the standard deviation. Suppose the standard deviation is reported to be 25. Is this feasible? Explain
A qualitative variable is measured for 20 companies randomly sampled and the data are classified into three classes, small (S), medium (M), and large (L), based on the number of employees in each company. The data (observed class for each company) are listed below. ______________________________________ SSL M SM M S M S L M S SSS M L S L ----------------------------------------------------------------
a. Compute the frequency for each of the three classes.
b. Compute the relative frequency for each of the three classes.
c. Display the results, part a, in a frequency bar graph.
d. Display the results, part b, in a pie chart.
STEM experiences for girls. The National Science Foundation (NSF) sponsored a study on girls鈥� participation in informal science, technology, engineering, or mathematics (STEM) programs. The results of the study were published in Cascading Influences: Long-Term Impacts of Informal STEM Experiences for Girls (March 2013). The researchers sampled 174 young women who recently participated in a STEM program. They used a pie chart to describe the geographic location (urban, suburban, or rural) of the STEM programs attended. Of the 174 STEM participants, 107 were in urban areas, 57 in suburban areas, and 10 in rural areas.
a. Determine the proportion of STEM participants from urban areas.
b. Determine the proportion of STEM participants from suburban areas.
c. Determine the proportion of STEM participants from rural areas.
d. Multiply each proportion in parts a鈥攃 by 360 to determine the pie slice size (in degrees) for each location.
e. Use the results, part d, to construct a pie chart for the geographic location of STEM participants.
f. Interpret the pie slice for urban areas.
g. Convert the pie chart into a bar graph. Which, in your opinion, is more informative?
Describe how the mean compares to the median for distribution as follows:
a.Skewed to the left
b.Skewed to the right
c.Symmetric
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?
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