Download Unit 7: Statistics and Probability

Unit 7: Statistics and Probability
Name: ______________________
Quiz (Lessons 1 to 3)
Date: ________________
1. The table shows how many hours per week, on average, that eight 14-year-olds
spend playing sports and watching TV.
Playing Sports (Hours per Week)
Watching TV (Hours per Week)
9
0
a) Draw a scatter plot to represent the data.
Remember to include a title, labels on the
axes, and an appropriate scale.
15
1
12
10
2
1
10
14
4
13
4
2
7
8
b) Is there any association between how
much time a student spends playing
sports and how much time the student
spends watching TV? Explain.
2. A student graphed data for the population and area
of ten countries in the world.
a) Circle the cluster.
b) Is there any association between area and
population? Explain.
Bonus► Mexico has an area of 1,964,375 km2 and a population of 120,286,655.
Add a data point for Mexico and explain if this point is an outlier or not.
K-26
Sample Unit Quizzes and Tests for AP Book 8.1
COPYRIGHT © 2015 JUMP MATH: TO BE COPIED. CC
c) Identify the outlier(s). Explain why they are outliers.
Unit 7: Statistics and Probability
Answer Key
Quiz (Lessons 1 to 3)
1.
a)
b)
There is no
association. There is
no increasing or
decreasing pattern
and the points are
spread out.
2.
Outlier 1
Mexico
Outlier 2
a)
See graph above.
b)
There is a positive
association. As area
increases, population
increases.
c)
See graph above.
Outlier 1: small area,
big population
Outlier 2: big area,
small population
Bonus
See graph above.
COPYRIGHT © 2015 JUMP MATH: TO BE COPIED. CC
It is an outlier
because it is far from
the cluster.
Sample Unit Quizzes and Tests for AP Book 8.1
K-27
Unit 7: Statistics and Probability
Name: ______________________
Test (Lessons 1 to 3)
Date: ________________
1. For which scatter plot or scatter plots does the data show …
A.
B.
C.
D.
a) a positive association? __________
b) a negative association? __________
c) a linear association? __________
d) a nonlinear association? __________
e) a strong association? __________
f) a weak association? __________
g) a weak positive association? __________
h) a strong negative association? __________
2. Which scatter plot from Question 1 best represents the association between the distance
a student lives from school and the time it takes the student to walk to school? Explain.
3. Mona pours two cups of boiling water in a bowl and measures the temperature
nine different times as the water cools. She records her results in a table.
1
92
3
78
a) Draw a scatter plot to represent the data.
Remember to include a title, labels on the
axes, and an appropriate scale.
5
67
8
54
10
48
15
36
20
30
30
23
45
21
b) Describe the association between time
since boiling and temperature of water in
as much detail as possible. Hint: Is it
linear or nonlinear? Strong or weak?
Positive or negative?
c) Hot drinks are best served with a temperature
of 75°C. How long should a cup be left to cool,
after boiling, before being served?
K-28
Sample Unit Quizzes and Tests for AP Book 8.1
COPYRIGHT © 2015 JUMP MATH: TO BE COPIED. CC
Time Since Boiling (minutes)
Temperature (°C)
Unit 7: Statistics and Probability
continued
Test (Lessons 1 to 3)
4. The table shows how many hours ten students worked last month
and how much money they earned.
Hours Worked
Money Earned ($)
15
135
20
160
5
40
10
70
a) Draw a scatter plot for the data.
4
120
10
100
20
80
14
112
8
80
18
140
b) Circle the cluster.
c) Describe the association in as much
detail as possible.
d) Identify the outlier(s). Explain.
5. Predict the relationship. Write “increases,” “decreases,” or “is not affected.”
a) As the side length of a square increases, the area of the square ____________________.
b) As the side lengths of a triangle increase, the sum of the angles in the triangle
____________________.
c) As the value of x increases, the value of –10x ____________________.
COPYRIGHT © 2015 JUMP MATH: TO BE COPIED. CC
Bonus► Sketch a scatter plot for the ages and heights of 15 adults.
Include the titles and labels, but no scales.
Sample Unit Quizzes and Tests for AP Book 8.1
K-29
Unit 7: Statistics and Probability
Answer Key
Test (Lessons 1 to 3)
a)
B, C
b)
A, D
c)
A, B, D
d)
C
e)
A, C, D
f)
B
g)
B
h)
A, D
Bonus
Sample answer:
Age and Height of Adults
Height (inches)
1.
2.
Scatterplot B. As distance
increases, walking time
increases, but some
students walk faster than
others.
3.
a)
b)
There is a strong
negative nonlinear
association.
c)
Around 4 minutes.
Age
4.
Outlier 1
Outlier 2
a)
See graph above.
b)
See graph above.
c)
There is a strong
positive linear
association if you
ignore the outliers.
d)
See graph above.
COPYRIGHT © 2015 JUMP MATH: TO BE COPIED. CC
Outlier 1: few hours,
high pay
Outlier 2: many
hours, low pay
5.
a)
increases
b)
is not affected
c)
decreases
K-30
Sample Unit Quizzes and Tests for AP Book 8.1