College Prep Stats.
Test Review Sections 2.1 – 2.5
Name: ____________________________________
1. The ages of different people entering a local pub are given as follows. Make a frequency distribution for the data using 4 classes.
2. The frequency distribution below shows the number of states that have a certain population. Use the information to create a cumulative
frequency distribution and a relative frequency distribution.
3. Find the class boundaries, midpoints and widths for the frequency distribution in problem #2 above.
Class Width: ____________________
Class Boundaries: ____________________
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Midpoints: ____________________
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4. The number of points scored by a high school basketball teams in their 2013 season are given below. Construct a dotplot and stemplot of
the points scored.
5. Use technology to construct a histogram of the basketball point totals given in question 4. Use your histogram to answer the following
questions.
a) What is the class width?
b) Name the lower and upper limit of the class with the highest frequency.
c) Is the distribution normal?
d.) According to your histogram, approximately how many games did the team score below 70 points?
6. The graph (to the right) shows the telephone bills of customers in a city.
a.) How many customers had telephone bills greater than $40?
b.) How many total customers are included in the histogram?
c.) What is the class width of the histogram?
7.) The accompanying table represents a frequency distribution of the scores on a math test.
a) What is the class width?
b) What are the upper and lower class limits of the third class?
c) What are the upper and lower class boundaries of the second class?
d) Does the distribution of duration times appear to be a normal distribution?
8.) A medical research team studied the ages of patients who had strokes caused by stress. The ages of 34 patients who suffered
stress strokes are shown below. Construct a relative frequency distribution for these ages. Use 8 classes beginning with a lower
class limit of 25. **Hint, you might want to construct a frequency distribution first.
29 30 36 41 45 50 57 61 28 50 36 58 60 38 36 47 40
32 58 46 61 40 55 32 61 56 45 46 62 36 38 40 50 27
9. The bar graph shows the number of endangered reptiles in Houston and Silicon Valley. Is the graph misleading?
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10. The line graph shows the number of television sets sold in 4 weeks. Is the graph misleading?
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11. The line graph shows the number of children interested in different activities in a class. Is the graph misleading? If so, why?
Choose one of the following:
a) The graph is misleading due to uneven spacing of values in the vertical scale.
b) The graph is not misleading.
c) The graph is misleading since the vertical scale is starting from 8 instead of 0.
d) None of the above.
12. In a survey, 26 voters were asked their ages. The results are shown below. Construct a histogram to represent the data (with
5 classes beginning with a lower class limit of 19.5 and a class width of 10). What is the approximate age at the center? In other
words, use the histogram to approximate their average age.
43 56 28 63 67 66 52 48 37 51 40 60 62
66 45 21 35 49 32 53 61 53 69 31 48 59
Average Age: __________