UNIT 4 MIXED REVIEW
Assessment readiness
The data plot shown represents the age of the members of a jogging club.
x x
x x
x xx xx
xx x xx xxx x
20
24
28
32
36
40
1. Find the median, range, and interquartile range of the data.
Is each statement True?
A. The median age is 36.
Yes
B. The range of ages is 8.
c. The interquartile range is 4.
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Yes
Yes
No
No
No
2. A new member who is 30 joins the jogging club. Determine if each statement is
True or False.
A. The range increases by 2.
B. The median decreases by 1.
c. The age of the new member is an outlier.
True
True
True
False
False
False
Yes
No
Yes
No
Yes
No
3. Is each of the following a linear function?
4x
A. y = -_
5
2
B. y = 5x - 2
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c. y = -7
4. Several hundred people were surveyed about their salary and the length of
their commute to work. The equation of the line of best fit for the data is
y ≈ 1.14x + 1.45 and r ≈ 0.45. Does each phrase accurately describe the
data set?
A. The variables have a strong correlation.
Yes
No
B. The variables have a positive correlation.
c. This study shows that there is no
correlation between the length of a
person’s commute and their salary.
Yes
No
Yes
No
5. A student notices that as the town population has gone up steadily over
several years, the price of a quart of milk has also gone up steadily. Describe the
correlation, if any. Then explain whether you think the situation implies causation.
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6. Vivian surveyed ​10 ​th​and 1​1 ​th​graders about whether they like reading comics.
Some of the results are shown in the frequency table shown. Complete the table.
Find the conditional relative frequency that a student enjoys reading comics
given that the student is an ​11 ​th​grader. Explain how you solved this problem.
Enjoy Reading Comics
Grade
Yes
No
​10 ​th​
45
53
th
​11 ​ ​
Total
72
110
Total
91
208
7. Thomas drew a line of best fit for the scatter plot as shown.
Write an equation for the line of best fit in slope-intercept form.
Show your work.
y
96
72
48
24
Performance Tasks
0
x
4
8
12
16
8. Gail counted the number of cars passing a certain store on
Tuesday from 4 p.m. to 4:05 p.m. and on Saturday from 4 p.m. to 4:05 p.m. for 6 weeks.
Her data sets are shown below.
1
2
3
4
5
6
Cars on Tuesday
10
8
12
3
9
15
Cars on Saturday
24
8
31
36
29
32
A. Use the most appropriate measure of central tendency to compare the
centers of these two data sets. Explain your choice.
B. Draw two box plots on the same number line to represent the data.
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Week
9. A total of 150 students in two grades at Lowell High School were asked whether
they usually ate lunch in the cafeteria. If they did not, they were asked if they
would or would not eat lunch in the cafeteria if it had a salad bar.
Now eat in
cafeteria
Would eat if
salad bar
Would not eat if
salad bar
​9 ​th​graders
36
14
32
​10 ​th​graders
25
10
28
A. Use the given frequency table to make a new table showing the joint and
marginal relative frequencies. Round to the nearest tenth of a percent.
B. The school board has decided that a salad bar should be added to the
cafeteria if at least 30% of the students who currently do not eat in the
cafeteria would start doing so. Should the salad bar be added?
Now eat in
Would eat if
Would not eat
cafeteria
salad bar
if salad bar
Total
​9 ​th​graders
​10 ​th​graders
Total
Number of chirps in
a 14-second interval
37
32
42
37
46
35
34
Temperature (°F)
78
72
81
77
88
75
76
A. How many cricket chirps would you expect to indicate a temperature of 85
degrees? Include a graph and an equation as part of the justification of your
answer.
T
B. What might be the lowest temperature your model could
be applied to? Explain your reasoning.
80
Temperature (˚F)
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10. A scientist theorizes that you can estimate the temperature by counting how
often crickets chirp. The scientist gathers the data in the table shown.
60
40
20
0
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a
10 20 30 40
Number of Chirps
math in careers
Geologist A geologist is studying the sediment discharged from several U.S. rivers, as
shown in the table.
River
Amount of Sediment
Discharged (millions of tons)
Mississippi River
230
Copper River
80
Yukon River
65
Columbia River
40
Susitna River
25
Eel River
15
Brazos River
11
For Parts a–c, round your answers to the nearest whole number, if necessary.
a. Find the mean and the median of the data for all seven rivers. Which measure represents
the data better? Explain.
b. Find the mean of the data for the six rivers, excluding the Mississippi River. Does this
mean represent the data better than the mean you found in part a? Explain.
c. Find the range and standard deviation of the data of all seven rivers. Describe what the
measures tell you about the dispersion of the data.
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