9:48 AO 81 • Fourth, the data value might be a legitimate value that occurred by chand (although the probability is extremely small). There are no hard-and-fast rules on what to do with outliers, nor is there complet agreement among statisticians on ways to identify them. Obviously, if they occurred as result of an error, an attempt should be made to correct the error or else the data valu should be omitted entirely. When they occur naturally by chance, the statistician mus make a decision about whether to include them in the data set. When a distribution is normal or bell-shaped, data values that are beyond 3 standar deviations of the mean can be considered suspected outliers. V. ASSESSMENT 1. Teacher Salaries The following data represent salaries (in dollars) from a school district in Greenwood, South Carolina. 50,000 58,000 51,000 56,600 51,000 59,200 52,500 61,560 54,300 56,400 57,500 147,000 1. First, assume you work for the school board in Greenwood and do not wish to raise taxes to increase salaries. Compute the mean, median, and mode, and decide which one would best support your position to not raise salaries. 2. Second, assume you work for the teachers' union and want a raise for the teachers. Use the best measure of central tendency to support your position. 3. Explain how outliers can be used to support one or the other position. 4. If the salaries represented every teacher in the school district, would the averages be parameters or statistics? 5. Which measure of central tendency can be misleading when a data set contains outliers? 6. When you are comparing the measures of central tendency, does the distribution display any skewness? Explain. 2. Blood Pressure The table lists means and standard deviations. The mean is the number before the plus/minus, and the standard deviation is the number after the plus/minus. The results are from a study attempting to find the average blood pressure of older adults. Use the results to answer the questions. Normotensive Hypertensive Men (n = 1200) Women (n = 1400) Men (n=1100) Age 5510 55 ± 10 60 ± 10 Women (n=1300) 64 ± 10 Blood pressure (mmHg) Systolic 1239 Diastolic 78±7 121 ± 11 76±7 153 ± 17 91 ± 10 156 ±20 88±10 ப
9:48 AO 81 • Fourth, the data value might be a legitimate value that occurred by chand (although the probability is extremely small). There are no hard-and-fast rules on what to do with outliers, nor is there complet agreement among statisticians on ways to identify them. Obviously, if they occurred as result of an error, an attempt should be made to correct the error or else the data valu should be omitted entirely. When they occur naturally by chance, the statistician mus make a decision about whether to include them in the data set. When a distribution is normal or bell-shaped, data values that are beyond 3 standar deviations of the mean can be considered suspected outliers. V. ASSESSMENT 1. Teacher Salaries The following data represent salaries (in dollars) from a school district in Greenwood, South Carolina. 50,000 58,000 51,000 56,600 51,000 59,200 52,500 61,560 54,300 56,400 57,500 147,000 1. First, assume you work for the school board in Greenwood and do not wish to raise taxes to increase salaries. Compute the mean, median, and mode, and decide which one would best support your position to not raise salaries. 2. Second, assume you work for the teachers' union and want a raise for the teachers. Use the best measure of central tendency to support your position. 3. Explain how outliers can be used to support one or the other position. 4. If the salaries represented every teacher in the school district, would the averages be parameters or statistics? 5. Which measure of central tendency can be misleading when a data set contains outliers? 6. When you are comparing the measures of central tendency, does the distribution display any skewness? Explain. 2. Blood Pressure The table lists means and standard deviations. The mean is the number before the plus/minus, and the standard deviation is the number after the plus/minus. The results are from a study attempting to find the average blood pressure of older adults. Use the results to answer the questions. Normotensive Hypertensive Men (n = 1200) Women (n = 1400) Men (n=1100) Age 5510 55 ± 10 60 ± 10 Women (n=1300) 64 ± 10 Blood pressure (mmHg) Systolic 1239 Diastolic 78±7 121 ± 11 76±7 153 ± 17 91 ± 10 156 ±20 88±10 ப
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:9:48
AO 81
• Fourth, the data value might be a legitimate value that occurred by chand
(although the probability is extremely small).
There are no hard-and-fast rules on what to do with outliers, nor is there complet
agreement among statisticians on ways to identify them. Obviously, if they occurred as
result of an error, an attempt should be made to correct the error or else the data valu
should be omitted entirely. When they occur naturally by chance, the statistician mus
make a decision about whether to include them in the data set.
When a distribution is normal or bell-shaped, data values that are beyond 3 standar
deviations of the mean can be considered suspected outliers.
V. ASSESSMENT
1.
Teacher Salaries
The following data represent salaries (in dollars) from a school district in Greenwood, South
Carolina.
50,000
58,000
51,000
56,600
51,000
59,200
52,500
61,560
54,300
56,400
57,500
147,000
1. First, assume you work for the school board in Greenwood and do not wish to raise taxes to
increase salaries. Compute the mean, median, and mode, and decide which one would best
support your position to not raise salaries.
2. Second, assume you work for the teachers' union and want a raise for the teachers. Use the
best measure of central tendency to support your position.
3. Explain how outliers can be used to support one or the other position.
4. If the salaries represented every teacher in the school district, would the averages be
parameters or statistics?
5. Which measure of central tendency can be misleading when a data set contains outliers?
6. When you are comparing the measures of central tendency, does the distribution display any
skewness? Explain.
2.
Blood Pressure
The table lists means and standard deviations. The mean is the number before the plus/minus, and
the standard deviation is the number after the plus/minus. The results are from a study attempting
to find the average blood pressure of older adults. Use the results to answer the questions.
Normotensive
Hypertensive
Men
(n = 1200)
Women
(n = 1400)
Men
(n=1100)
Age
5510
55 ± 10
60 ± 10
Women
(n=1300)
64 ± 10
Blood pressure (mmHg)
Systolic
1239
Diastolic
78±7
121 ± 11
76±7
153 ± 17
91 ± 10
156 ±20
88±10
ப
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