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Statistics Review 3.1 – 3.3
Name ___________________________ Period _______
1. Find the mean, median, mode, midrange and range for the following set of data. Which of these measures
of center do you feel is most representative of this data? Explain your choice.
138, 130, 135, 140, 120, 125, 112, 123
mean: _________
median: __________
mode: _________
midrange: _________
2. Given the wait times (in minutes) of 2 minutes, 6 minutes and 10 minutes, determine the range, standard
deviation and variance. Using the Range Rule of Thumb what would be the estimate for the standard
deviation for this set?
range: ____________
standard deviation: ___________
variance: _____________
estimate: ____________
3. The scores of a sample of skill set quizzes was 7, 9, 9, 10, and 12. Determine the standard deviation,
variance, and the minimum and maximum usual values.
standard deviation: ___________
variance: _____________
minimum usual value: ___________
maximum usual value: ___________
4. In Mrs. Anderson’s class her semester grades are determined by using the students’ quiz/test averages, participation,
homework and final exam. She weights each of these 70%, 5%, 15% and 10% respectively. Compute Jamie and Ricardo’s
overall semester grades.
Jamie Ricardo
Quiz/test
85%
94%
Participation 100%
90%
Homework
80%
50%
Final exam
72%
98%
5. The mean height of a sample of men is 68.14 inches with a standard deviation of 3.02 inches. The mean
weight of the sample of men is 172.55 pounds with a standard deviation of 26.33 pounds. Find the coefficient
of variation of the heights and weights and compare the two.
CV heights: ___________
CV weights: __________
Comparison: _____________________________________________________________________________
___________________________________________________________________________________
6. The mean height of a sample of men is 68.14 inches with a standard deviation of 3.02 inches. Find the
following:
a. range of values representing 68% of the set _____________________________
b. range of values representing 95% of the set _____________________________
c. range of values representing 99.7% of the set _____________________________
d. Is the length of 61.3 inches considered unusual? Explain. __________________________________
____________________________________________________________________________________
____________________________________________________________________________________
7. The following frequency distribution describes the speeds of drivers ticketed traveling through a 30 mi/hr
speed zone. Find the mean for the data. How does the mean compare to the posted speed limit of 30 mi/hr?
Speed
Frequency
42 – 45
25
46 – 49
14
50 – 53
7
54 – 57
3
58 – 61
1
Mean: ___________