Transcript No Slide Title

Chapter 3
Visual Displays of Data
Active Learning
Questions
For use with classroom
response systems
Copyright © 2009 Pearson Education, Inc.
Slide 3 - 1
A teacher asked each her students how many novels they
had read in the previous six months. The results were: 0,
1, 5, 4, 2, 1, 3, 2, 2, 7, 2, 5, 0, 1, 0, 1, 1, 2, 6, 0, 2, 3, 1, 2,
7, 1, 4, 2, 3, 1, 7, 0, 0, 2, 1, 1, 0, 6, 1, 7. Construct a
frequency table for the number of novels read.
a. # Freq b. # Freq c. # Freq
d. # Freq
7
11
0
1
0
1
4
2
0
1
11
9
0
1
7
11
9
3
2
2
3
4
2
3
4
2
2
3
2
3
4
7
4
3
2
3
4
9
3
2
2
2
4
5
6
7
5
6
7
9
11
7
5
6
7
2
2
2
5
6
7
2
2
4
Slide 3 - 2
A teacher asked each her students how many novels they
had read in the previous six months. The results were: 0,
1, 5, 4, 2, 1, 3, 2, 2, 7, 2, 5, 0, 1, 0, 1, 1, 2, 6, 0, 2, 3, 1, 2,
7, 1, 4, 2, 3, 1, 7, 0, 0, 2, 1, 1, 0, 6, 1, 7. Construct a
frequency table for the number of novels read.
a. # Freq b. # Freq c. # Freq
d. # Freq
7
11
0
1
0
1
4
2
0
1
11
9
0
1
7
11
9
3
2
2
3
4
2
3
4
2
2
3
2
3
4
7
4
3
2
3
4
9
3
2
2
2
4
5
6
7
5
6
7
9
11
7
5
6
7
2
2
2
5
6
7
2
2
4
Slide 3 - 3
On Monday mornings, a bookie tabulates the point spreads
for basketball games played on Saturday and Sunday. He
found that 5 games had a spread of 1 or 2 points, 4 had a
spread of 3 to 6 points, 4 had a spread of 7 to 10 points and 3
were more than 10. Construct a relative frequency table the
bookie obtained for the weekend basketball games.
a.
Pt Spread
Rel Freq
1-2
18.75%
3-6
25.00%
7-10
25.00%
> 10
31.25%
b.
Pt Spread
Rel Freq
1-2
31.25%
3-6
25.00%
7-10
25.00%
> 10
18.75%
Pt Spread
1-2
3-6
7-10
> 10
Rel Freq
25.00%
31.25%
18.75%
25.00%
Pt Spread
Rel Freq
1-2
3125%
3-6
2500%
7-10
2500%
> 10
1875%
c.
d.
Slide 3 - 4
On Monday mornings, a bookie tabulates the point spreads
for basketball games played on Saturday and Sunday. He
found that 5 games had a spread of 1 or 2 points, 4 had a
spread of 3 to 6 points, 4 had a spread of 7 to 10 points and 3
were more than 10. Construct a relative frequency table the
bookie obtained for the weekend basketball games.
a.
Pt Spread
Rel Freq
1-2
18.75%
3-6
25.00%
7-10
25.00%
> 10
31.25%
b.
Pt Spread
Rel Freq
1-2
31.25%
3-6
25.00%
7-10
25.00%
> 10
18.75%
Pt Spread
1-2
3-6
7-10
> 10
Rel Freq
25.00%
31.25%
18.75%
25.00%
Pt Spread
Rel Freq
1-2
3125%
3-6
2500%
7-10
2500%
> 10
1875%
c.
d.
Slide 3 - 5
Construct a cumulative frequency table for the data of the
weight of 30 stones.
Weight 1.2-1.6
# Stones
5
1.7-2.1
2
2.2-2.6
5
2.7-3.1
5
3.2-3.6
13
a.
Weight
1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
Cumulative Freq
5
2
5
5
13
b.
Weight
1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
Cumulative Freq
5
7
12
17
30
c.
Weight
1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
Cumulative Freq
30
30
30
30
30
d.
Weight
1.2-3.6
Cumulative Freq
30
Slide 3 - 6
Construct a cumulative frequency table for the data of the
weight of 30 stones.
Weight 1.2-1.6
# Stones
5
1.7-2.1
2
2.2-2.6
5
2.7-3.1
5
3.2-3.6
13
a.
Weight
1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
Cumulative Freq
5
2
5
5
13
b.
Weight
1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
Cumulative Freq
5
7
12
17
30
c.
Weight
1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
Cumulative Freq
30
30
30
30
30
d.
Weight
1.2-3.6
Cumulative Freq
30
Slide 3 - 7
Construct a bar chart for the relative frequencies given.
Blood Type
Frequency
Rel Frequency
a.
O
22
0.44
b.
0.5
0.45
0.4
B
6
0.12
AB
3
0.06
25
20
0.35
Fre que nc y
Relative Frequency
A
19
0.38
0.3
0.25
0.2
15
10
0.15
0.1
5
0.05
0
0
O
c.
A
B
AB
O
d.
0.5
0.45
B
AB
25
0.4
20
0.35
Fre que n c y
Relative Frequency
A
0.3
0.25
0.2
15
10
0.15
0.1
5
0.05
0
0
O
A
B
AB
O
A
B
AB
Slide 3 - 8
Construct a bar chart for the relative frequencies given.
Blood Type
Frequency
Rel Frequency
a.
O
22
0.44
b.
0.5
0.45
0.4
B
6
0.12
AB
3
0.06
25
20
0.35
Fre que nc y
Relative Frequency
A
19
0.38
0.3
0.25
0.2
15
10
0.15
0.1
5
0.05
0
0
O
c.
A
B
AB
O
d.
0.5
0.45
B
AB
25
0.4
20
0.35
Fre que n c y
Relative Frequency
A
0.3
0.25
0.2
15
10
0.15
0.1
5
0.05
0
0
O
A
B
AB
O
A
B
AB
Slide 3 - 9
The following dot plot represents the ages of the
people in a sample selected from a group if
campaign volunteers. How many people were in
the sample?
20 22 24 26 28 30 32 34 36 38
a. 27
b. 21
c. 28
d. 30
Slide 3 - 10
The following dot plot represents the ages of the
people in a sample selected from a group if
campaign volunteers. How many people were in
the sample?
20 22 24 26 28 30 32 34 36 38
a. 27
b. 21
c. 28
d. 30
Slide 3 - 11
The Kappa Iota Sigma Fraternity polled its members on the
weekend party theme. The vote was as follows: six for
toga, four for hayride, eight for root beer bash, and two for
masquerade. Display the vote count in a Pareto chart.
a.
b.
9
8
8
7
7
6
6
5
5
4
4
3
3
2
2
1
1
0
0
Toga
c.
9
Hayride
Beer Bash
Masquerade
Beer Bash
d.
9
8
Hayride
Hayride
Beer Bash
Masquerade
9
8
7
7
6
6
5
5
4
4
3
3
2
2
1
1
0
Toga
0
Masquerade
Hayride
Toga
Beer Bash
Toga
Masquerade
Slide 3 - 12
The Kappa Iota Sigma Fraternity polled its members on the
weekend party theme. The vote was as follows: six for
toga, four for hayride, eight for a root beer bash, and two
for masquerade. Display the vote count in a Pareto chart.
a.
b.
9
8
8
7
7
6
6
5
5
4
4
3
3
2
2
1
1
0
0
Toga
c.
9
Hayride
Beer Bash
Masquerade
Beer Bash
d.
9
8
Hayride
Hayride
Beer Bash
Masquerade
9
8
7
7
6
6
5
5
4
4
3
3
2
2
1
1
0
Toga
0
Masquerade
Hayride
Toga
Beer Bash
Toga
Masquerade
Slide 3 - 13
The data represents the results of a poll in which the
following question was asked:, “To what degree are you
satisfied with the outcome of the 1994 mayoral
election?” Very: 36, Somewhat: 48, Not at All: 62, No
opinion: 54. Which pie chart represents the data set?
a.
b.
Very
Somew hat
Not at All
No Opinion
c.
Very
Somew hat
Not at All
No Opinion
Very
Somew hat
Not at All
No Opinion
d.
Very
Somew hat
Not at All
No Opinion
Slide 3 - 14
The data represents the results of a poll in which the
following question was asked:, “To what degree are you
satisfied with the outcome of the 1994 mayoral
election?” Very: 36, Somewhat: 48, Not at All: 62, No
opinion: 54. Which pie chart represents the data set?
a.
b.
Very
Somew hat
Not at All
No Opinion
c.
Very
Somew hat
Not at All
No Opinion
Very
Somew hat
Not at All
No Opinion
d.
Very
Somew hat
Not at All
No Opinion
Slide 3 - 15
A nurse measured the blood pressure of each person
who visited her clinic. Following is a relative
frequency histogram for the systolic blood pressure
readings for those people aged between 25 and 40.
Given that 800 people were 0.35
0.30
aged between 25 and 40,
0.25
approximately how many
0.20
had a systolic blood
0.15
0.10
pressure reading greater
0.05
than 140 and less than or
0.00
100 110 120 130 140 150 160
equal to 150?
Systolic Blood Pressure (mm Hg)
a. 8
b. 6
c. 64
d. 640
Slide 3 - 16
A nurse measured the blood pressure of each person
who visited her clinic. Following is a relative
frequency histogram for the systolic blood pressure
readings for those people aged between 25 and 40.
Given that 800 people were 0.35
0.30
aged between 25 and 40,
0.25
approximately how many
0.20
had a systolic blood
0.15
0.10
pressure reading greater
0.05
than 140 and less than or
0.00
100 110 120 130 140 150 160
equal to 150?
Systolic Blood Pressure (mm Hg)
a. 8
b. 6
c. 64
d. 640
Slide 3 - 17
The data below are the numbers of hours of homework
done as reported by 24 high school juniors for the last
week in September, 2006. Using bins of 2 hours width,
which relative frequency histogram represents the data?
6, 5, 6, 4, 6, 6, 9, 7, 6, 3, 8, 5, 5, 8, 6, 5, 8, 6, 5, 7, 5, 8, 7, 4
a.
b.
c.
d. None of the previous
Slide 3 - 18
The data below are the numbers of hours of homework
done as reported by 24 high school juniors for the last
week in September, 2006. Using bins of 2 hours width,
which relative frequency histogram represents the data?
6, 5, 6, 4, 6, 6, 9, 7, 6, 3, 8, 5, 5, 8, 6, 5, 8, 6, 5, 7, 5, 8, 7, 4
a.
b.
c.
d. None of the previous
Slide 3 - 19
Find the original
data from the stemand-leaf plot.
Stem
1
2
3
4
Leaves
18
1137
13389
34
a. 11, 18, 23, 23, 27, 33, 34, 38, 39, 43, 44
b. 2, 9, 2, 2, 4, 8, 4, 4, 6, 11, 12, 7, 8, 12
c. 13, 13, 14, 21, 21, 23, 27, 31, 31, 43, 44
d. 11, 18, 21, 21, 23, 27, 31, 33, 33, 38, 39, 43, 44
Slide 3 - 20
Find the original
data from the stemand-leaf plot.
Stem
1
2
3
4
Leaves
18
1137
13389
34
a. 11, 18, 23, 23, 27, 33, 34, 38, 39, 43, 44
b. 2, 9, 2, 2, 4, 8, 4, 4, 6, 11, 12, 7, 8, 12
c. 13, 13, 14, 21, 21, 23, 27, 31, 31, 43, 44
d. 11, 18, 21, 21, 23, 27, 31, 33, 33, 38, 39, 43, 44
Slide 3 - 21
A machine is supposed to fill
juice bottles with 16 fluid
ounces of juice. The
manufacturer picks a sample
of bottles that have been filled
by the machine and determine
the volume of juice in each
bottle. The leaf unit is 0.1.
What is the smallest volume
of juice (in fluid ounces)
measured for the bottles?
15
15
15
15
15
16
16
16
16
16
1
3
45
667777
888899999
00000011111
22223333
445
66
8
a. 16 fluid ounces
b. 151 fluid ounces
c. 15.1 fluid ounces
d. 15 fluid ounces
Slide 3 - 22
A machine is supposed to fill
juice bottles with 16 fluid
ounces of juice. The
manufacturer picks a sample
of bottles that have been filled
by the machine and determine
the volume of juice in each
bottle. The leaf unit is 0.1.
What is the smallest volume
of juice (in fluid ounces)
measured for the bottles?
15
15
15
15
15
16
16
16
16
16
1
3
45
667777
888899999
00000011111
22223333
445
66
8
a. 16 fluid ounces
b. 151 fluid ounces
c. 15.1 fluid ounces
d. 15 fluid ounces
Slide 3 - 23
Which line chart represents the data in the table?
Score 10-14 15-19 20-24 25-29 30-34
Freq
2
5
13
17
6
a.
b.
c.
d. None of the previous
Slide 3 - 24
Which line chart represents the data in the table?
Score 10-14 15-19 20-24 25-29 30-34
Freq
2
5
13
17
6
a.
b.
c.
d. None of the previous
Slide 3 - 25
The time series
line chart shows
the prices of a
volatile stock
from January
1999 to December
1999. Between
which two consecutive months did the price of
the stock drop by the greatest percentage?
a. June - July
b. August - September
c. May - June
d. None of the previous
Slide 3 - 26
The time series
line chart shows
the prices of a
volatile stock
from January
1999 to December
1999. Between
which two consecutive months did the price of
the stock drop by the greatest percentage?
a. June - July
b. August - September
c. May - June
d. None of the previous
Slide 3 - 27
Identify the
utility that
accounts for
over half the
total bill in
two months.
a.
b.
c.
d.
Water
Electric
Gas
No single utility accounts for more than
half the total bill in two months.
Slide 3 - 28
Identify the
utility that
accounts for
over half the
total bill in
two months.
a.
b.
c.
d.
Water
Electric
Gas
No single utility accounts for more than
half the total bill in two months.
Slide 3 - 29
Identify the class
that had more
than half 2.5 or
better GPA’s for
the five decades.
a.
b.
c.
d.
Sr
Jr
So
Fr
Slide 3 - 30
Identify the class
that had more
than half 2.5 or
better GPA’s for
all five decades.
a.
b.
c.
d.
Sr
Jr
So
Fr
Slide 3 - 31