Mean, Median, Mode and Cumulative Frequency Practice Problems
Set 1: Cumulative Absolute Frequency
Review the concepts of cumulative absolute frequency at Statistics Terms Help.
Practice
Draw a vertical bar graph showing all the absolutefrequency data from Table 75, the results of a “weighted” dietossing experiment. Portray each die face on the horizontal axis. Let light gray vertical bars show the absolute frequency numbers, and let dark gray vertical bars show the cumulative absolute frequency numbers.
Table 75 Results of an experiment in which a “weighted” die is tossed 6000 times, showing absolute frequencies and cumulative absolute frequencies.
Face of die 
Absolute frequency 
Cumulative absolute frequency 
1 
380 
380 
2 
268 
648 
3 
408 
1056 
4 
1287 
2343 
5 
1599 
3942 
6 
2058 
6000 
Solution
Figure 76 shows such a graph. The numerical data is not listed at the tops of the bars in order to avoid excessive clutter.
Fig. 76. Illustration for practice problem.
Set 2: Cumulative Relative Frequency
Review the concept of cumulative relative frequency at Statistics Terms Help
Practice
Draw a horizontal bar graph showing all the relativefrequency data from Table 76, another portrayal of the results of a “weighted” dietossing experiment. Show each die face on the vertical axis. Let light gray horizontal bars show the relative frequency percentages, and dark gray horizontal bars show the cumulative relative frequency percentages.
Table 76 Results of an experiment in which a “weighted” die is tossed 6000 times, showing absolute frequencies, relative frequencies, cumulative absolute frequencies, and cumulative relative frequencies.
Face of die 
Absolute frequency 
Relative frequency 
Cumulative absolute frequency 
Cumulative relative frequency 
1 
380 
6.33% 
380 
6.33% 
2 
268 
4.47% 
648 
10.80% 
3 
408 
6.80% 
1056 
17.60% 
4 
1287 
21.45% 
2343 
39.05% 
5 
1599 
26.65% 
3942 
65.70% 
6 
2058 
34.30% 
6000 
100.00% 

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