1.00 Point: Award
October 14, 2022 | Author: Anonymous | Category: N/A
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Two thousand six hundred frequent business travelers are asked which midwestern city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. 113 liked Indianapolis best, 455 liked Saint Louis, 1395 liked Chicago, and the remainder preferred Milwaukee. Develop a frequency table and a relative frequency table to summarize this information. (Round relative frequency to 3 decimal places.) City Indianapolis St. Louis Chicago Milwaukee
Frequency
Relative Frequency
113
0.043
455
0.175
1,395
0.537
6 37 63
0.245
Explanation:
City Indianapolis St. Louis Chicago Milwaukee T To otal
Worksheet
Frequency 113 455 1,395 637
Relative Frequency 0.043 0.175 0.537 0.245
Found by 113 / 2,600 455 / 2,600 1,395 / 2,600 637 / 2,600
2,600
Difficulty: 2 Intermediate
Learning Objective: 02-01 Summarize qualitative variables with frequency and relative frequency tables.
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2.
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Molly's Candle Shop has several retail stores in the coastal areas of North and South Carolina. Many of Molly's customers ask her to ship their purchases. The following chart shows the number of packages shipped per day for the last 100 days.
a. What is this chart called?
Bar chart Histogram Frequency polygon
b. What is the total number of frequencies?
Frequencies
100
c. What is the class interval?
Class interval
5
d. What is the class frequency of the 10 up to 15 class?
Class frequency
28
e. What is the relative frequency of the 10 up to 15 class? (Round your answer to 2 decimal places.)
Relative frequency f.
0.28
What is the midpoint of the 20 up to 25 class? (Round your answer to 1 decimal place.) Midpoint
22.5
g. On how many days were there 20 or more packages shipped?
Number of day days s
31
Explanation:
a. A histogram is a graph in which which the classes are marked on the horizontal horizontal axis and the class
frequencies on the vertical axis. The class frequencies are represented by the heights of the bars and the bars are drawn adjacent to each other. b. 100, found by summing the individual class frequencies 5+13+28+23+18+10+3. c. 5, found by subtracting the lower limit of a class from the lower limit of the next class. d. There are 28 values between 10 and 15. e. 0.28, found by dividing the class frequency (28) by the total of all the frequencies(100).
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f. The class midpoint is computed by adding the lower limits of consecutive classes and dividing the
result by 2. In this case (20+25)/2 equal 22.5. g. 31, found by adding the class frequencies (18+10+3).
Difficulty: 2 Intermediate
Worksheet
3.
Learning Objective: 02-04 Display a frequency distribution using a histogram or frequency polygon.
award:
1.00 point
The following frequency distribution reports the number of frequent flier miles, reported in thousands, for employees of Brumley Statistical Consulting Inc., during the first quarter of 2013.
Frequent Flier Miles (000) 0 up to 5 5 up to 10 10 up to 15 15 up to 20 20 up to 25
Number of Employees 5 13 22 8 3
T otal To
51
a. How many employees were studied?
Number of em employees ployees
51
b. What is the midpoint of the first class? (Round your answer to 1 decimal place.)
Midpoint
2.5
d. A frequency polygon is to be drawn. What are the coordinates coordinates of the plot for the second class? 7.5 ,
13
Explanation: b.
2.5 thousands of miles, computed by adding the limits of 0 and 5 then dividing the result by 2.
Worksheet
Difficulty: 2 Intermediate
Learning Objective: 02-04 Display a frequency distribution using a histogram or frequency polygon.
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The following cumulative frequency polygon shows the hourly wages wag es of a sample of certified welders in the Atlanta, Georgia, area.
a. How many welders were studied?
Number of wel welders ders
40
b. What is the class interval?
Class interval
5
c. About how many welders earn less than $26 per hour?
Number of wel welders ders
33 ± 2
d. About 80% of the welders make less than what amount? amount?
Amount
24 ± 2
e. Twenty of the welders studied made less than what amount?
Amount
15 ± 1
f. What percent of the welders make less than $23 per hour?
Percent of welders
78 ± 5
Explanation:
a. 40, because the vertical axis on the left ends at 40. b. 5, found by subtracting the lower limit of a class from the lower limit of the next class. c. 33, found by starting at $26 on the horizontal axis, up to the polygon and then across to the vertical
axis on the left. d. About $24 per hour, found by starting at 80 percent on the vertical axis on the right, over to the
polygon and then down to the horizontal axis.
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e. About $15 per hour, found by starting at 20 on the vertical axis on the left, over to the polygon and
then down to the horizontal axis. f. About 78%, found by starting at $23 on the horizontal a axis, xis, up tto o the polygon and then across to the
vertical axis on the right.
Difficulty: 2 Intermediate
Worksheet
5.
Learning Objective: 02-04 Display a frequency distribution using a histogram or frequency polygon.
award:
1.00 point
The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consulting Inc. is given below. Frequent Flier Miles (000) 0 up to 3 3 up to 6 6 up to 9 9 up to 12 12 up to 15
Frequency 5 12 23 8 2
Total
50
a. How many employees accumulated less than 12,000 miles?
Number of em employees ployees
48
Explanation:
48 is found by the sum of the first four classes (less than 3000 less than 6000 less than 9000 and less than 12000)
Worksheet
Difficulty: 2 Intermediate
Learning Objective: 02-04 Display a frequency distribution using a histogram or frequency polygon.
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6.
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Identify whether the table given below is a frequency table or a frequency f requency distribution. Su Subjects Ac Accounting Finance Economics Management
Students 10 5 3 6
Marketing Frequency table
10
Explanation:
A frequency table groups qualitative qualitative data into mutually exclusive exclusive classes showing the number of observations in each class.
Worksheet
Learning Objective: 02-01 Summarize qualitative variables with frequency and relative frequency tables.
Difficulty: 1 Basic
Learning Objective: 02-03 Summarize quantitative variables with frequency and relative frequency distributions.
4/13/2015 Page 6 of 89
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Speedy Swift is a package delivery service that serves the greater Atlanta, Georgia metropolitan area. To maintain customer loyalty, one of Speedy Swift's performance objectives is on-time delivery. To monitor its performance, each delivery is measured on the following scale: early (package delivered before the promised time), on-time (package delivered within 5 minutes of the promised time), late (package delivered more than 5 minutes past the promised time), lost (package never delivered). Speedy Swift's objective is to deliver 99% of all packages either early or on-time. Another objective is to never lose a package. Speedy collected the following data for last month's performance:
On-time Early Early Early On-time On-time Early On-time On-time On-time
On-time On-time On-time On-time Late Late Early On-time Early On-time
Early On-time Early On-time Late Early On-time Early On-time On-time
Late Early On-time On-time On-time On-time On-time On-time On-time On-time
On-time On-time On-time Early On-time Early Late Early On-time On-time
On-time On-time On-time Early On-time On-time Early On-time Late Early
On-time On-time Early On-time On-time Lost On-time Early On-time Early
On-time On-time On-time On-time On-time On-time On-time On-time On-time On-time
Late On-time On-time On-time On-time On-time On-time Late On-time On-time
On-time On-time On-time On-time On-time On-time On-time On-time On-time On-time
a. What scale is used to measure delivery performance? What kind of variable is delivery performance?
Scale
Ordinal
Variable
Qualitative
b. Construct a frequency table for delivery performance for last month.
Performance Early On-time Late Lost
Frequency
20
71
8
1
c. Construct a relative frequency table for delivery performance last month. (Round your answers to 2 decimal places.)
Performance Early On-time Late Lost
Relative frequency
.20
.71
.08
.01
f. Analyze the data summaries and write an evaluation of last month's delivery performance as it relates
to Speedy Swift's performance objectives.
Packages either early or on-time Packages lost rev: 01_23_2015_QC_CS-4254
91 % 1 %
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Explanation: a.
The scale is ordinal and the variable is qualitative. f.
91% of the packages are either early or on-time and 1% of the packages are lost. So they are missing both of their objectives. They must eliminate all lost packages and reduce the late percentage to below 1%.
8.
Learning Objective: 02-02 Display a frequency table using a bar or pie chart.
Difficulty: 3 Challenge
Worksheet
award:
1.00 point
The following is the number of minutes to commute from home to work for a group of 25 automobile executives. 29 31
25 26
52 21
37 31
41 26
19 31
31 43
26 35
17 42
22 38
22 31
29 29
36
a. How many classes would you recommend?
Number of c classes lasses
5
b. What class interval would you suggest? (Round up your answer to the next whole number.)
Class interval
7
c. Organize the data and plot a frequency distribution on a piece of paper. Comment on the shape of the
frequency distribution. It is fairly symmetric, with most of the values between 17 and 36.
Explanation: a.
Comment1 5 because 24 = 16 < 25 and 25 = 32 > 25. b.
Worksheet
Difficulty: 2 Intermediate
Learning Objective: 02-03 Summarize quantitative variables with frequency and relative frequency distributions.
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9.
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A chain of sport shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a beginning skier spends on his or her initial purchase of equipment and supplies. Based on these figures, it wants to explore the possibility of offering combinations, such as a pair of boots and a pair of skis, to induce customers to buy more. A sample of 44 cash register receipts revealed these initial purchases: $143 127
$84 263
$139 232
$161 132
$175 172
$84 149
$126 170
$149 215
$140 105
2 12 20 6 162
1 12 46 4 195
19 10 8 128
1 17 71 2 126
1 16 52 6 142
2 22 19 5 118
12 81 7 127
1 11 76 2 144
1 24 39 0
a. Find the smallest class interval. Use five classes. (Round your answer to 1 decimal place.)
S Sm mallest class interval
$
35.8
b. What would be a better class interval?
Better class interval
$
40
c. Organize the data into a frequency distribution using a lower limit of $80.
$ 80 $
120
$ $ $
160 200 240
up to up to up to up to up to
120
8
160
19
200 240
10 6
280
1
Explanation: a.
$35.8, (found by 263 − 84)/5
Worksheet
Difficulty: 2 Intermediate
Learning Objective: 02-03 Summarize quantitative variables with frequency and relative frequency distributions.
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10.
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A total of 8.9 percent of the prime time viewing audience watched shows on ABC, 7.5 percent watched shows on CBS, 5.5 percent on Fox, 6.4 percent on NBC, 3.7 percent on Warner Brothers, and 3.6 percent on UPN. A total of 64.4 percent of the audience watched shows on other cable networks, such as CNN and ESPN. What will be the prime time viewing percentage of the pie chart for the following data? (Round your answers to 2 decimal places.)
ABC CBS Fox NBC Warner UPN
Prime time viewing 25.00 % 21.07 % 15.45 % 17.98 % 10.39 % 10.11 %
Explanation:
Prime time viewing
Picture
Worksheet
Difficulty: 2 Intermediate
Learning Objective: 02-02 Display a frequency table using a bar or pie chart.
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11.
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The number of families who used the Minneapolis YWCA day care service was recorded over a 30-day period. The results are as follows:
62 11 6
68 59 26
25 56 27
53 56 41
53 46 70
10 25 59
42 42 48
7 33 24
49 32 34
26 16 55
Construct a cumulative frequency distribution of this data. Class
Cumulative Frequency 0 up to 15
4
15 up to
30
11
30 up to
45
17
45 up to
60
27
60 up to
75
30
rev: 01_27_2015_QC_CS-5196
Explanation:
For the number of classes (k) select the smallest integer such that 2 to the power of k is greater than the number of observations. Thus 5 classes are recommended recommended because 2^4 = 16 25. d.
Worksheet
Difficulty: 2 Intermediate
Learning Objective: 02-03 Summarize quantitative variables with frequency and relative frequency distributions.
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David Wise handles his own investment portfolio, and has done so for many years. Listed below is the holding time (recorded to the nearest whole year) between purchase and sale for his collection of 36 stocks.
8 9
8 15 1 5
6 8
1 11 1 8
11 11 1 12 2
9 5
8 9
5 8
1 11 1 5
4 9
8 10 10
5 11 11
14 14 3
7 9
1 12 2 8
8 6
6
1 11 1
9
7
Click here for the Excel Data File
a. How many classes would you propose?
No of classes
6
d. Organize the data into a frequency distribution. (Round your class values to 1 decimal place.)
Class 2.2 up to 4.4 up to 6.6 up to 8.8 up to 11.0 up to 13.2 up to
Frequency 4.4
2
6.6
7
8.8
11
11.0
7
13.2
7
15.4
2
e. The distribution distribution is airly symmetric or "bell"bell-shaped" shaped" .
Explanation: a.
For the number of classes (k) select the smallest integer such that 2 to the power of k is greater than the number of observations. Thus 6 classes are recommended because 2^5 = 32
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