1. Statistics exam grades: Suppose that 20 statistics students’ scores on an exam are as follows:
97 92 88 75 83 67 89 55 72 78
81 91 57 63 67 74 87 84 98 46
· Construct a frequency distribution. Use FIVE classes
· Construct a relative frequency histogram (Use class boundaries to graph).
Classes Lower Upper |
Class Boundaries Lower Upper |
Frequency |
Midpoint |
Relative Frequency (%) |
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2. Twenty executives reported the following number of telephone calls made during a randomly selected week.
22 12 19 54 12 16 12 14 49 10
21 37 28 36 22 34 33 45 31 41
· Construct a stem and leaf plot for the data
3. The numbers of calls received by the Internal Revenue Service I.R.S. office in 6 business day in July are shown below.
8 6 2 4 12 10
Find the variance and standard deviation.USE
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Column III |
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4. The table below shows the relative frequency distribution of the number of hours worked last week by a random sample of 400 employees of a certain engineering company.
Hours worked |
Relative frequency |
20-29 |
0.15 |
30-39 |
0.12 |
40-49 |
0.20 |
50-59 |
? |
60-69 |
0.35 |
70-79 |
0.008 |
· Find the missing relative frequency (?)
5. A football fan records how many goals his team scored in their last 15 football matches. Here are the results:
2, 3, 0, 1, 3, 4, 2, 5, 0, 3, 1, 2, 2, 0, 2.
FIND the mode, the median and mean average of goals scored?
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