question archive Sorting through unsolicited e-mail and spam affects the productivity of office workers
Sorting through unsolicited e-mail and spam affects the productivity of office workers
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Sorting through unsolicited e-mail and spam affects the productivity of office workers. An
InsightExpress survey monitored office workers to determine the unproductive time per day
devoted to unsolicited e-mail and spam (USA Today, November 13, 2003).
The following data show a sample of time in minutes devoted to this task.
2 4 8 4 8 1 2 32
12 1 5 7 5 5 3 4
24 19 4 14
Summarize the data by constructing the following:
a. A frequency distribution (classes 1-5, 6-10, 11-15, 16-20, and so on)
b. A relative frequency distribution
c. A cumulative frequency distribution
d. A cumulative relative frequency distribution
e. An ogive (with cumulative percent frequency on the Y axis)
f. Find the mode, median, 1st quartile, third quartile using the graphs above.
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Answer:
a. See table b. See table c. See table d. See table e. See ogive f. 60%. 25%
Step-by-step explanation
e
Draw the histogram using the cumulative frequencies.
The ogive draws a line between the upper boundary of each bar and the upper boundaries of the consecutive bar.
Then remove the bars of the histogram.
f. The percentage of office works that spend 5 minutes or less is the cumulative relative frequency of the interval 1-5:
0.6 = 60%
The percentage of office works that spend more than 10 minutes is 1 decreased by the cumulative relative frequency of the interval 6-10:
1 — 0.75 = 0.25 = 25%
PFA
