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Chapter 2: Q40. (page 94)
Calculate the mode, mean, and median of the following data:
18 10 15 13 17 15 12 15 18 16 11
Mean = 14.54
Median = 15
Mode = 15
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Jamming attacks on wireless networks. Refer to the International Journal of Production Economics (Vol. 172, 2016) study of U.S. military jamming attacks on wireless networks used by terrorists, Exercise 1.16 (p. 50). Recall that 80 recent jamming attacks were classified according to network type (WLAN, WSN, or AHN) attacked and number of channels (single- or multi-channel) of the network. The results are summarized in the accompanying table.
Network Type/ | Number of |
WLAN / Single | 31 |
WSN / Single | 13 |
AHN / Single | 8 |
WLAN / Multi | 14 |
WSN / Multi | 9 |
AHN / Multi | 5 |
Total | 80 |
a. Construct a Pareto diagram for the data. Interpret the results.
b. Construct a pie chart for network type only. Interpret the results.
Calculate the range, variance, and standard deviation for the following samples:
a.4, 2, 1, 0, 1
b.1, 6, 2, 2, 3, 0, 3
c.8, -2, 1, 3, 5, 4, 4, 1, 3, 3
d.0, 2, 0, 0, -1, 1, -2, 1, 0, -1, 1, -1, 0, -3,-2, -1, 0, 1
Salaries of bachelor’s degree graduates. PayScale, Inc., an online provider of global compensation data, conducts an annual salary survey of bachelor’s degree graduates. Three of the many variables measured by PayScale are the graduate’s current salary, mid-career salary, and the college or university where they obtained their degree. Descriptive statistics are provided for each of the over 400 colleges and universities that graduates attended. For example, graduates of the University of South Florida (USF) had a mean current salary of \(57,000, a median mid-career salary of \)48,000, and a mid-career 90th percentile salary of $131,000. Describe the salary distribution of USF bachelor’s degree graduates by interpreting each of these summary statistics.
Question: Performance of stock screeners.Refer to the American Association of Individual Investors (AAII) statistics on stock screeners, Exercise 2.44 (p. 95). Annualized percentage return on investment (as compared to the Standard & Poor’s 500 Index) for 13 randomly selected stock screeners are reproduced in the table.
(9.0, -.1, -1.6, 14.6, 16.0, 7.7, 19.9, 9.8, 3.2, 24.8, 17.6, 10.7, 9.1)
a.Find the range of the data for the 13 stock screeners. Give the units of measurement for the range.
b.Find the variance of the data for the 13 stock screeners. If possible, give the units of measurement for the variance.
c.Find the standard deviation of the data for the 13 stock screeners. Give the units of measurement for the standard deviation
Performance of stock screeners.Investment companies provide their clients with automated tools—called stock screeners—to help them select a portfolio of stocks to invest in. The American Association of Individual Investors (AAII) provides statistics on stock screeners at its Website, www.aaii.com. The next table lists the annualized percentage return on investment (as compared to the Standard & Poor’s 500 Index) for 13 randomly selected stock screeners. (Note:A negative annualized return reflects a stock portfolio that performed worse than the S&P 500.)
(9.0, -.1, -1.6, 14.6, 16.0, 7.7, 19.9, 9.8, 3.2, 24.8, 17.6, 10.7, 9.1)
a.Compute the mean for the data set. Interpret its value.
b.Compute the median for the data set. Interpret its value.
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