and standard deviation? 10. Why is the formula for sample variance different from the formula for population variance? 11. For the following sample of n = 6 scores: 0, 11, 5, 10, 5, 5 a. Sketch a histogram showing the sample distribution. b. Locate the value of the sample mean in your sketch, and make an estimate of the standard deviation (as done in Example 4.6). c. Compute SS, variance, and standard deviation for the sample. (How well does your estimate compare with the actual value of s?) 12. Calculate SS, variance, and standard deviation for the following sample of n = 8 scores: 0, 4, 1, 3, 2. 1, 1, 0. 13. Calculate SS, variance, and standard deviation for the following sample of n = 5 scores: 2, 9, 5, 5, 9. 14. A population has a mean of u = 50 and a standard deviation of o = 10. a. If 3 points were added to every score in the popu lation, what would be the new values for the mean and standard deviation? b. If every score in the population were multiplied by T, U, and 2. deviation for the new sample. b. Using the values you obtained in part a, what are the values for the mean and standard deviation for the original sample? 18. For the following population of N = 6 scores: 2, 9, 6, 8, 9, 8 a. Calculate the range and the standard deviation. (Use either definition for the range.) b. Add 2 points to each score and compute the range and standard deviation again. Describe how adding a constant to each score influences measures of variability. 19. The range is completely determined by the two extreme scores in a distribution. The standard devia- tion, on the other hand, uses every score. a. Compute the range (choose either definition) and the standard deviation for the following sample of n = 5 scores. Note that there are three scores clus- tered around the mean in the center of the distribu tion, and two extreme values. Scores: 0, 6, 7, 8, 14.
and standard deviation? 10. Why is the formula for sample variance different from the formula for population variance? 11. For the following sample of n = 6 scores: 0, 11, 5, 10, 5, 5 a. Sketch a histogram showing the sample distribution. b. Locate the value of the sample mean in your sketch, and make an estimate of the standard deviation (as done in Example 4.6). c. Compute SS, variance, and standard deviation for the sample. (How well does your estimate compare with the actual value of s?) 12. Calculate SS, variance, and standard deviation for the following sample of n = 8 scores: 0, 4, 1, 3, 2. 1, 1, 0. 13. Calculate SS, variance, and standard deviation for the following sample of n = 5 scores: 2, 9, 5, 5, 9. 14. A population has a mean of u = 50 and a standard deviation of o = 10. a. If 3 points were added to every score in the popu lation, what would be the new values for the mean and standard deviation? b. If every score in the population were multiplied by T, U, and 2. deviation for the new sample. b. Using the values you obtained in part a, what are the values for the mean and standard deviation for the original sample? 18. For the following population of N = 6 scores: 2, 9, 6, 8, 9, 8 a. Calculate the range and the standard deviation. (Use either definition for the range.) b. Add 2 points to each score and compute the range and standard deviation again. Describe how adding a constant to each score influences measures of variability. 19. The range is completely determined by the two extreme scores in a distribution. The standard devia- tion, on the other hand, uses every score. a. Compute the range (choose either definition) and the standard deviation for the following sample of n = 5 scores. Note that there are three scores clus- tered around the mean in the center of the distribu tion, and two extreme values. Scores: 0, 6, 7, 8, 14.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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