Suppose a magazine ranks the best paying college degrees in a country. The following data show the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid-career salary. Degree Starting Salary Mid-Career Salary % Increase College Degree A 59,400 105,000 77 College Degree B 56,400 101,000 79 College Degree C 54,800 101,000 84 College Degree D 64,800 105,000 62 College Degree E 53,500 93,400 75 College Degree F 61,200 87,700 43 College Degree G 56,200 97,700 74 College Degree H 50,400 87,000 73 College Degree I 48,800 97,800 100 College Degree J 60,800 106,000 74 College Degree K 47,500 91,500 93 College Degree L 41,500 88,300 113 College Degree M 49,300 87,100 77 College Degree N 50,900 90,300 77 College Degree O 46,400 88,300 90 College Degree P 63,900 106,000 66 College Degree Q 93,000 155,000 67 College Degree R 50,700 99,600 96 College Degree S 56,700 91,300 61 College Degree T 50,000 93,400 87 (a) Using a class width of 10, construct a histogram for the percentage increase in the starting salary. A histogram with 8 class labels along the horizontal axis is given. The horizontal axis is labeled: % Increase. The vertical axis is labeled: Frequency. Centered over the leftmost label, 40-49.9, a bar is drawn 1 unit tall. Moving to the right, information about the remaining bars (beginning with class label) is listed. 50-59.9: 1 unit tall 60-69.9: 3 units tall 70-79.9: 2 units tall 80-89.9: 8 units tall 90-99.9: 4 units tall 100-109.9: no bar 110-119.9: 1 unit tall A histogram with 8 class labels along the horizontal axis is given. The horizontal axis is labeled: % Increase. The vertical axis is labeled: Frequency. Centered over the leftmost label, 40-49.9, a bar is drawn 8 units tall. Moving to the right, information about the remaining bars (beginning with class label) is listed. 50-59.9: 4 units tall 60-69.9: no bar 70-79.9: 1 unit tall 80-89.9: 1 unit tall 90-99.9: 1 unit tall 100-109.9: 3 units tall 110-119.9: 2 units tall A histogram with 8 class labels along the horizontal axis is given. The horizontal axis is labeled: % Increase. The vertical axis is labeled: Frequency. Centered over the leftmost label, 40-49.9, a bar is drawn 1 unit tall. Moving to the right, information about the remaining bars (beginning with class label) is listed. 50-59.9: no bar 60-69.9: 4 units tall 70-79.9: 8 units tall 80-89.9: 2 units tall 90-99.9: 3 units tall 100-109.9: 1 unit tall 110-119.9: 1 unit tall A histogram with 8 class labels along the horizontal axis is given. The horizontal axis is labeled: % Increase. The vertical axis is labeled: Frequency. There is no bar centered over the leftmost label, 40-49.9. Moving to the right, information about the remaining bars (beginning with class label) is listed. 50-59.9: 1 unit tall 60-69.9: 4 units tall 70-79.9: 2 units tall 80-89.9: 8 units tall 90-99.9: 3 units tall 100-109.9: 1 unit tall 110-119.9: 1 unit tall (b) Comment on the shape of the distribution. The histogram is  ---Select--- skewed to the left skewed to the right symmetric . (c) Develop a stem-and-leaf display for the percentage increase in the starting salary. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Leaf Unit = 1 4   5   6   7   8   9   10   11   (d) What are the primary advantages of the stem-and-leaf display as compared to the histogram? (Select all that apply.) stem-and-leaf display shows the actual datastem and leaf display provides exactly the same information as a histogramstem-and-leaf display is hard to readthe stem-and-leaf display is easier to construct by hand stem and leaf display provides less information than a histogram

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Suppose a magazine ranks the best paying college degrees in a country. The following data show the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid-career salary.
Degree Starting Salary Mid-Career Salary % Increase
College Degree A 59,400 105,000 77
College Degree B 56,400 101,000 79
College Degree C 54,800 101,000 84
College Degree D 64,800 105,000 62
College Degree E 53,500 93,400 75
College Degree F 61,200 87,700 43
College Degree G 56,200 97,700 74
College Degree H 50,400 87,000 73
College Degree I 48,800 97,800 100
College Degree J 60,800 106,000 74
College Degree K 47,500 91,500 93
College Degree L 41,500 88,300 113
College Degree M 49,300 87,100 77
College Degree N 50,900 90,300 77
College Degree O 46,400 88,300 90
College Degree P 63,900 106,000 66
College Degree Q 93,000 155,000 67
College Degree R 50,700 99,600 96
College Degree S 56,700 91,300 61
College Degree T 50,000 93,400 87
(a)
Using a class width of 10, construct a histogram for the percentage increase in the starting salary.
A histogram with 8 class labels along the horizontal axis is given.
  • The horizontal axis is labeled: % Increase.
  • The vertical axis is labeled: Frequency.
Centered over the leftmost label, 40-49.9, a bar is drawn 1 unit tall. Moving to the right, information about the remaining bars (beginning with class label) is listed.
  • 50-59.9: 1 unit tall
  • 60-69.9: 3 units tall
  • 70-79.9: 2 units tall
  • 80-89.9: 8 units tall
  • 90-99.9: 4 units tall
  • 100-109.9: no bar
  • 110-119.9: 1 unit tall
A histogram with 8 class labels along the horizontal axis is given.
  • The horizontal axis is labeled: % Increase.
  • The vertical axis is labeled: Frequency.
Centered over the leftmost label, 40-49.9, a bar is drawn 8 units tall. Moving to the right, information about the remaining bars (beginning with class label) is listed.
  • 50-59.9: 4 units tall
  • 60-69.9: no bar
  • 70-79.9: 1 unit tall
  • 80-89.9: 1 unit tall
  • 90-99.9: 1 unit tall
  • 100-109.9: 3 units tall
  • 110-119.9: 2 units tall
A histogram with 8 class labels along the horizontal axis is given.
  • The horizontal axis is labeled: % Increase.
  • The vertical axis is labeled: Frequency.
Centered over the leftmost label, 40-49.9, a bar is drawn 1 unit tall. Moving to the right, information about the remaining bars (beginning with class label) is listed.
  • 50-59.9: no bar
  • 60-69.9: 4 units tall
  • 70-79.9: 8 units tall
  • 80-89.9: 2 units tall
  • 90-99.9: 3 units tall
  • 100-109.9: 1 unit tall
  • 110-119.9: 1 unit tall
A histogram with 8 class labels along the horizontal axis is given.
  • The horizontal axis is labeled: % Increase.
  • The vertical axis is labeled: Frequency.
There is no bar centered over the leftmost label, 40-49.9. Moving to the right, information about the remaining bars (beginning with class label) is listed.
  • 50-59.9: 1 unit tall
  • 60-69.9: 4 units tall
  • 70-79.9: 2 units tall
  • 80-89.9: 8 units tall
  • 90-99.9: 3 units tall
  • 100-109.9: 1 unit tall
  • 110-119.9: 1 unit tall
(b)
Comment on the shape of the distribution.
The histogram is  ---Select--- skewed to the left skewed to the right symmetric .
(c)
Develop a stem-and-leaf display for the percentage increase in the starting salary. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)
Leaf Unit = 1
4  
5  
6  
7  
8  
9  
10  
11  
(d)
What are the primary advantages of the stem-and-leaf display as compared to the histogram? (Select all that apply.)
stem-and-leaf display shows the actual datastem and leaf display provides exactly the same information as a histogramstem-and-leaf display is hard to readthe stem-and-leaf display is easier to construct by hand stem and leaf display provides less information than a histogram
 
 

 

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