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

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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Description: 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 th

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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