Download Name: Date: Period: ______ CHS Statistics Chapter 2 Review The

Name: ___________________________________________
Date: _____________________ Period: ______
CHS Statistics
Chapter 2 Review
1. The following categorical data are to be used to create a pie chart. Show calculations
Favorite class
# of students
English
Mathematics
History
Science
Other
22
32
10
8
8
2. Create a stem-and-leaf plot of the following data which represent the age of students in an evening
cooking class at Butler Community College. Then create a box and whisker plot.
22
26
60
31
44
59
71
29
31
34
48
46
3. The following data represent the lifetime in minutes (rounded to the nearest minute) of thirty AA batteries
that were randomly selected and tested. Fill in the chart below using 6 classes.
423
393
389
Classes
411
377
408
371
392
363
Tallies
409
401
382
431
405
399
Freq
391
381
422
400
428
410
415
372
390
396
386
394
419
387
369
4. Fill in the following table of the number of defective lights in a sample of 50 over the last year. Create a
relative frequency histogram, a frequency polygon, and an ogive.
Number of
Defective
1-20
21-40
41-60
61-80
81-100
Frequency Midpoint
5
14
23
7
1
Relative
Frequency
Cumulative
Frequency
5. Write the symbol for each of the following:
________ 1.) The sample’s number of entries
________ 2.) The population mean
________ 3.) Summation
________ 4.) The sample standard deviation
________ 5.) The population’s number of entries
________ 6.) The sample mean
________ 7.) The population standard deviation
6. Compute the mean, median, and mode for the following data set of the number of calls received by
Fischer’s tow truck service on six consecutive Sundays.
9
7
11
10
13
7
7. A survey conducted in a college intro stats class asked students about the number of credit hours they
were taking that quarter. The number of credit hours for a random sample of 16 students is given in the
table.
10
10
12
14
15
15
15
15
17
19
20
20
20
20
22
17
18
18
18
21
21
a) Sketch a histogram of these data.
b) Find the mean and standard deviation for the number of credit hours.
c) Find the median and IQR for the number of credit hours.
d) Is it more appropriate to use the mean and standard deviation or the median and IQR to summarize
theses data? Explain.
8. Suppose that the student taking 22 credit hours in the data set in the previous question was actually taking
28 credit hours instead of 22 (so we would replace the 22 in the data set with 28). Indicate whether
changing the number of credit hours for that student would make each of the following summary statistics
increase, decrease, or stay about the same:
a. mean
b. median
c. range
d. IQR
e. standard deviation
_____________________
_____________________
_____________________
_____________________
_____________________
9. Compute the mean, median, mode, and standard deviation of the following grouped data showing the
amount of time that 80 high school students devoted to leisure activities during a typical school week.
(You can do this by hand or on the graphing calc. **S.D must be done on the calculator).
Hours
10-14
15-19
20-24
25-29
30-34
35-39
Frequency
8
28
27
12
4
1
10. There are 45 high school juniors who earn $80 weekly and 140 seniors earn $110 weekly at their job.
What is the mean of the combined group of juniors and seniors?
11. A school system employs teachers at salaries between $30,000 and $68,000. If the school board and
teachers’ union agree to a flat raise of $1200, what will this do to the:
a.) mean?
b.) median?
c.) mode?
d.) range?
e.) standard deviation?
12. A data set consists of 20 values that are fairly close together. Another value is included, but this new value
is an outlier. How is the standard deviation affected by the outlier (No effect, small effect, large effect)?
Explain.
13. The following data set shows the test grades of three Statistics classes. Create three box plots for analysis
(Stack them one after another using one scale to compare). Compare and Contrast the three classes. Do
any outliers exist?
Pd 1
16
16
19
20
28
29
31
34
34
35
37
40
41
46
50
51
51
53
53
55
Pd 2
12
16
21
21
22
23
23
25
25
27
27
29
35
38
39
39
45
47
48
48
50
54
55
Pd 5
2
25
26
29
34
36
37
40
41
41
43
46
46
47
48
14. What characteristics would a data set have with a standard deviation of s=0?
15. What do z-scores describe?
16. The mean sale per customer for 40 customers at a gas station is $36.00, with a standard deviation of $8.
What percent of people get between $20 and $52 of gas? (Assume that the data follow a Normal
distribution) Draw the chart.
17. The number of times the phone rings at a pizza shop in a day has a mean of 40 and a standard deviation of
3. Between what two values do 99.7% of the data lie? (Assume that the data follow a Normal distribution)
Draw the chart.
18. Karrie earned a 55 on her English test and Drake earned a 75. The mean of the English test was a 73 with a
standard deviation of 8. What are the students’ z-scores?
19. A certain brand of automobile tires has a mean life span of 35,000 miles and has a data value of 29,375
that corresponds to a z-score of -2.5. Find the standard deviation of the tire.
20. Adult males have heights with a mean of 69.0 in and a standard deviation of 2.8 in. Find the z-scores
corresponding to the following:
a.) NBA basketball player Shaquille O’Neal who is 7’ 1” tall
b.) Bob Jenkins who is 5’ 4” tall
21. Which student earned a better grade? Student A earned a score of 75 on a history test and Student B
earned a score of 27 on a psychology test? Scores on the history test have a mean of 80 and a standard
deviation of 12. Scores on the psychology test have a mean of 30 and a standard deviation of 8. Explain
your answer.