Statistics 2.1 SOPHIA
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DeVry University, Keller Graduate School of Management *
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Course
221
Subject
Mathematics
Date
Jan 9, 2024
Type
docx
Pages
21
Uploaded by Cyntiann
2018 Housing Data
Type of Home
Frequency
Single-Family Detached
2912
Single-Family Attached
738
Small Apartment Building
2077
Large Apartment Building
1760
Mobile Home
289
Other
224
To accurately display the single-family detached home category on a pie chart, an angle that is approximately ________ would need to be created.
a.)
131 degrees
b.)
13 degrees
c.)
79 degrees
d.)
94 degrees
a.)
Correct.
Recall that pie charts are 360 degrees and each piece of pie should represent the percent of the pie it takes up. So with single-detached homes with a frequency of 2912 and a total of 8000, the fraction of the pie would then be:
The following histogram represents quiz scores and uses the following interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, and 36-40.
Select the true statement for this histogram.
a.)
The quiz score bin interval 6-10 contains the most students, while bin interval 26-30 contains the fewest.
b.)
The quiz score bin interval 11-15 contains the most students, while bin interval 36-40 contains the fewest.
c.)
The quiz score bin interval 16-20 contains the most students, while bin interval 1-5 contains the fewest.
d.)
The quiz score bin interval 36-40 contains the most students, while bin interval 1-5 contains the fewest.
b.)
Correct.
The height of the histogram represents the frequency, with each frequency listed inside each. The largest bin interval is 11-15 with
15 quizzes inside this interval and the fewest is in 36-40 with only
2 quiz scores.
The time series diagram shows the total distance traveled by Kelvin on
his car trip.
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Which segment of the graph indicates no change in distance traveled?
a.)
1 PM to 2 PM
b.)
12 PM to 1 PM
c.)
10 AM to 11 AM
d.)
2 PM to 3 PM
b.)
Correct.
Recall that in a time series plot no change in distance will be when the graph has no slope. No slope would mean a horizontal line. In this case, no slope occurs from 12 PM to 1 PM.
The stem-and-leaf plot below shows the quiz scores of 50 students
The data below shows the number of text messages received by a group of 25 students in a day.
10, 8, 13, 14, 15, 14, 15, 14, 13, 12, 12, 14, 11, 14, 13, 14, 15, 16, 13, 16, 15, 16, 15, 14, 11
Which dot plot represents the data?
a.)
b.)
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c.)
d.)
c.)
Correct.
Recall that a dotplot places a dot above the value along a number
line. Each dot generally represents 1 value. So the dotplot that repesents this data should have 1 dot at 8, 1 dot at 10, 2 dots at 11, and so on. This is the figure that illusrates that.
2018 Housing Data
Type of Home
Frequency
Single-Family Detached
2912
Single-Family Attached
738
Small Apartment Building
2077
Large Apartment Building
1760
Mobile Home
289
Other
224
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The relative frequency of residents living in large apartment buildings in 2018 is __________. Answer choices are rounded to the nearest percentage.
a.)
14%
b.)
22%
c.)
70%
d.)
60%
b.)
Correct.
In order to get relative frequency, we take the number in the class divided by the total. So the relative frequency of large apartment buildings is:
The following histogram represents quiz scores and uses the interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, and 36-40
For students who earned a score of 21 or higher on the quiz, the
cumulative frequency is __________ and the relative cumulative frequency is __________.
a.)
10; 20%
b.)
7; 14%
c.)
17; 34%
d.)
21; 42%
c.)
Correct.
Recall that for cumulative frequency, we add up all the values that fall above or below a given bin of data. So, if we want all scores more than 21 it should be the last four bins with a total of:
To get the relative frequency we take the total in the bins for scores of 21 and above divided by the total of all bins:
The following histogram represents quiz scores and uses the interval bins: 1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, and 36-40.
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For students who earned a score of 20 or lower on the quiz, the cumulative frequency is __________ and the relative cumulative frequency is __________.
a.)
38; 76%
b.)
16; 32%
c.)
29; 58%
d.)
9; 18%
a.)
Correct.
Recall that for cumulative frequency we add up all the values that
fall above or below a given bin of data. So, if we want all scores less than 20 it should be the first four bins with a total of:
To get the relative frequency we take the total in the bins for scores of 20 and lower divided by the total of all bins:
The table below shows the time spent by four students on a science project.
Monday
Tuesday
Wednesday
Thursday
Susan
20
15
25
20
Tina
15
25
10
15
Den
35
15
20
25
John
20
20
35
30
Which stack plot best represents the time spent on the science
project?
a.)
b.)
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c.)
d.)
a.)
Correct.
Recall a stack plot shows the cumulative amount in different groups. So each of the colored regions should represent the amounts in each group. We can verify that for each person and the total, all the values are correct, with Monday at a total of 90 minutes with Susan spending 20, Tina spending 15, Den spending
35, and John spending 20. We can then verify each day with this same process.
The bar graph below shows the net sales of a magazine company over the years
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Based on the graph, Dan claims that the net sales of magazines in 2008 are twice the net sales in 2006.
Which statement explains why the graph is misleading?
a.)
The vertical axis should be in terms of the number of magazines instead of net sales.
b.)
The vertical scale made the bar of 2008 look twice the bar of 2006.
c.)
The horizontal axis should be in terms of months instead of years.
d.)
The scale of intervals on the horizontal axis is inconsistent.
b.)
Correct.
Due to the graph starting at 400 and not 0, it makes the 2008 look twice as large. 2006 has net sales of $800,000, while in 2008
the net sales are $1,200,000. So it is only 1.5 times as large.
How many students scored 22 on the test?
a.)
4 students
b.)
7 students
c.)
6 students
d.)
1 student
d.)
Correct.
In a stem and leaf plot, you can get the exact values by looking at the stem and leaf. The number of leaves indicates one number. So for 22 we can see there is only one 2 in the stem of 2, which means there is only 1 student with that score.
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