Transcript chapter_4_powerpoint

Chapter 4
Describing Data
Active Learning
Questions
For use with classroom
response systems
Copyright © 2009 Pearson Education, Inc.
Slide 4 - 1
Last year, nine employees of an electronics
company retired. Their ages at retirement are listed
below. Find the mean retirement age to one
decimal place.
50, 66, 63, 54, 60, 58, 65, 56, 52
a. 58
b. 58.2
c. 58.5
d. 65.5
Slide 4 - 2
Last year, nine employees of an electronics
company retired. Their ages at retirement are listed
below. Find the mean retirement age to one
decimal place.
50, 66, 63, 54, 60, 58, 65, 56, 52
a. 58
b. 58.2
c. 58.5
d. 65.5
Slide 4 - 3
The distances traveled (in miles) to 7 different
swim meets are listed below. Find the median
distance traveled.
73, 24, 46, 34, 61, 10, 86
a. 46 miles
b. 46.7 miles
c. 47.7 miles
d. 55.7 miles
Slide 4 - 4
The distances traveled (in miles) to 7 different
swim meets are listed below. Find the median
distance traveled.
73, 24, 46, 34, 61, 10, 86
a. 46 miles
b. 46.7 miles
c. 47.7 miles
d. 55.7 miles
Slide 4 - 5
The weights (in ounces) of 21 cookies are shown.
Find the median weight.
0.62, 1.25, 0.60, 1.62, 0.75, 0.74, 1.35, 1.25, 1.53,
0.99, 0.62, 1.25, 1.28, 0.66, 0.47, 1.25, 0.74, 1.28,
1.72, 0.75, 0.56
a. 1.25 ounces
b. 1.06 ounces
c. 1.01 ounces
d. 0.99 ounces
Slide 4 - 6
The weights (in ounces) of 21 cookies are shown.
Find the median weight.
0.62, 1.25, 0.60, 1.62, 0.75, 0.74, 1.35, 1.25, 1.53,
0.99, 0.62, 1.25, 1.28, 0.66, 0.47, 1.25, 0.74, 1.28,
1.72, 0.75, 0.56
a. 1.25 ounces
b. 1.06 ounces
c. 1.01 ounces
d. 0.99 ounces
Slide 4 - 7
Find the mode(s) of the given sample data.
7.29, 7.41, 7.56, 7.29, 7.88, 7.99, 7.62
a. 7.56
b. 7.29
c. 7.577
d. 7.41
Slide 4 - 8
Find the mode(s) of the given sample data.
7.29, 7.41, 7.56, 7.29, 7.88, 7.99, 7.62
a. 7.56
b. 7.29
c. 7.577
d. 7.41
Slide 4 - 9
The federal government requires a car
manufacturer to have a minimum miles per gallon
(mpg) average over the models it makes. Suppose
that the mpg’s for four of the five models of a
manufacturer are 19, 22, 28, and 26, and the
manufacturer just meets the government standard
of 31 mpg. Find the mileage of for the fifth model.
a. 60 mpg
b. 31 mpg
c. 24 mpg
d. 19 mpg
Slide 4 - 10
The federal government requires a car
manufacturer to have a minimum miles per gallon
(mpg) average over the models it makes. Suppose
that the mpg’s for four of the five models of a
manufacturer are 19, 22, 28, and 26, and the
manufacturer just meets the government standard
of 31 mpg. Find the mileage of for the fifth model.
a. 60 mpg
b. 31 mpg
c. 24 mpg
d. 19 mpg
Slide 4 - 11
The mathematics SAT scores of the seven students
in a mathematics seminar are 553, 553, 578, 586,
619, 626, and 633. Suppose that the student with
the score of 533 drops the seminar and is replaced
by a student with a score of 765. What will happen
to the mean and the median scores of the class?
a. Neither the mean nor the median will change.
b. Both the mean and the median will increase.
c. The median will increase; the mean will be unchanged.
d. The mean will increase; the median will be unchanged.
Slide 4 - 12
The mathematics SAT scores of the seven students
in a mathematics seminar are 553, 553, 578, 586,
619, 626, and 633. Suppose that the student with
the score of 533 drops the seminar and is replaced
by a student with a score of 765. What will happen
to the mean and the median scores of the class?
a. Neither the mean nor the median will change.
b. Both the mean and the median will increase.
c. The median will increase; the mean will be unchanged.
d. The mean will increase; the median will be unchanged.
Slide 4 - 13
The host of a dinner party purchases wine based on
the weighted average of clarity (10%), bouquet
(5%), friendliness to the palate (5%), storage
ability of opened bottles (40%), and price (40%).
Suppose that Bone Ranch Wave has scores in
these categories of 4, 5, 3, 8, and 9, respectively.
What is its rating?
a. 5.80
b. 5.00
c. 7.60
d. None of the previous
Slide 4 - 14
The host of a dinner party purchases wine based on
the weighted average of clarity (10%), bouquet
(5%), friendliness to the palate (5%), storage
ability of opened bottles (40%), and price (40%).
Suppose that Bone Ranch Wave has scores in
these categories of 4, 5, 3, 8, and 9, respectively.
What is its rating?
a. 5.80
b. 5.00
c. 7.60
d. None of the previous
Slide 4 - 15
A softball player has a batting average of exactly
.300 and no more than 60 times at bat. Suppose
this player gets 4 hits in her next 5 times at bat.
What is the highest possible average she could
now have?
a. .467
b. .800
c. .338
d. There is insufficient information to
answer the question.
Slide 4 - 16
A softball player has a batting average of exactly
.300 and no more than 60 times at bat. Suppose
this player gets 4 hits in her next 5 times at bat.
What is the highest possible average she could
now have?
a. .467
b. .800
c. .338
d. There is insufficient information to
answer the question.
Slide 4 - 17
Which of the distributions has the greatest
variation?
a.
b.
c.
d.
Slide 4 - 18
Which of the distributions has the greatest
variation?
a.
b.
c.
d.
Slide 4 - 19
Which of the distribution is skewed to the right?
a.
b.
c.
d.
Slide 4 - 20
Which of the distribution is skewed to the right?
a.
b.
c.
d.
Slide 4 - 21
Consider the distribution of heights of all the
players in the National Basketball Association.
What would you expect the shape of the
distribution to be?
a. Skewed right
b. Skewed left
c. Symmetric
d. Bimodal
Slide 4 - 22
Consider the distribution of heights of all the
players in the National Basketball Association.
What would you expect the shape of the
distribution to be?
a. Skewed right
b. Skewed left
c. Symmetric
d. Bimodal
Slide 4 - 23
The following data set is the GPA’s of the students
in a statistics class. What percentile is a GPA of
2.54?
1.93, 1.99, 2.00, 2.04, 2.12, 2.34, 2.55, 2.55, 2.75,
2.75, 2.80, 2.80, 2.85, 3.02, 3.12, 3.22, 3.31, 3.33,
3.45, 3.69
a. About the 6th
b. About the 15th
c. About the 30th
d. About the 60th
Slide 4 - 24
The following data set is the GPA’s of the students
in a statistics class. What percentile is a GPA of
2.54?
1.93, 1.99, 2.00, 2.04, 2.12, 2.34, 2.55, 2.55, 2.75,
2.75, 2.80, 2.80, 2.85, 3.02, 3.12, 3.22, 3.31, 3.33,
3.45, 3.69
a. About the 6th
b. About the 15th
c. About the 30th
d. About the 60th
Slide 4 - 25
The test scores for 32 students are listed. Construct
a boxplot for the data set.
32, 37, 41, 44, 46, 48, 53, 55, 57, 57, 59, 63, 65,
66, 68, 69, 70, 71, 74, 74, 75, 77, 78, 79, 81, 82,
83, 86, 89, 92, 95, 99
a.
b.
c.
d.
Slide 4 - 26
The test scores for 32 students are listed. Construct
a boxplot for the data set.
32, 37, 41, 44, 46, 48, 53, 55, 57, 57, 59, 63, 65,
66, 68, 69, 70, 71, 74, 74, 75, 77, 78, 79, 81, 82,
83, 86, 89, 92, 95, 99
a.
b.
c.
d.
Slide 4 - 27
Find the standard deviation for the given data.
Round your answer to one more decimal place
than the original data.
15, 42, 53, 7, 9, 12, 14, 28, 47
a. 29.1
b. 16.6
c. 17.8
d. 15.8
Slide 4 - 28
Find the standard deviation for the given data.
Round your answer to one more decimal place
than the original data.
15, 42, 53, 7, 9, 12, 14, 28, 47
a. 29.1
b. 16.6
c. 17.8
d. 15.8
Slide 4 - 29
Use the range rule of thumb to approximate the
standard deviation.
22, 29, 21, 24, 27, 28, 25, 36
a. 1.65
b. 4.2
c. 3.75
d. 2.8
Slide 4 - 30
Use the range rule of thumb to approximate the
standard deviation.
22, 29, 21, 24, 27, 28, 25, 36
a. 1.65
b. 4.2
c. 3.75
d. 2.8
Slide 4 - 31
Al and Joe are two county sheriff’s deputies
assigned to watch for traffic violations. Their
arrest and conviction records for May and June are
shown below. Who had the best conviction
percentage in May?
May
June
Arrests Convictions Arrests Convictions
Al
90
30
20
12
Joe 10
2
80
40
a. Al
b. Joe
c. They were the same d. Can’t determine
Slide 4 - 32
Al and Joe are two county sheriff’s deputies
assigned to watch for traffic violations. Their
arrest and conviction records for May and June are
shown below. Who had the best conviction
percentage in May?
May
June
Arrests Convictions Arrests Convictions
Al
90
30
20
12
Joe 10
2
80
40
a. Al
b. Joe
c. They were the same d. Can’t determine
Slide 4 - 33
Al and Joe are two county sheriff’s deputies
assigned to watch for traffic violations. Their
arrest and conviction records for May and June are
shown below. Who had the best conviction
percentage in June?
May
June
Arrests Convictions Arrests Convictions
Al
90
30
20
12
Joe 10
2
80
40
a. Al
b. Joe
c. They were the same d. Can’t determine
Slide 4 - 34
Al and Joe are two county sheriff’s deputies
assigned to watch for traffic violations. Their
arrest and conviction records for May and June are
shown below. Who had the best conviction
percentage in June?
May
June
Arrests Convictions Arrests Convictions
Al
90
30
20
12
Joe 10
2
80
40
a. Al
b. Joe
c. They were the same d. Can’t determine
Slide 4 - 35
Al and Joe are two county sheriff’s deputies
assigned to watch for traffic violations. Their
arrest and conviction records for May and June are
shown below. Who had the best conviction
percentage overall?
May
June
Arrests Convictions Arrests Convictions
Al
90
30
20
12
Joe 10
2
80
40
a. Al
b. Joe
c. They were the same d. Can’t determine
Slide 4 - 36
Al and Joe are two county sheriff’s deputies
assigned to watch for traffic violations. Their
arrest and conviction records for May and June are
shown below. Who had the best conviction
percentage overall?
May
June
Arrests Convictions Arrests Convictions
Al
90
30
20
12
Joe 10
2
80
40
a. Al
b. Joe
c. They were the same d. Can’t determine
Slide 4 - 37