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Descriptive Statistics Practice Exercises
Psychological Statistics (PSYC 2101)
East Carolina University
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Psychological StatisticsPreview text
Descriptive Statistics Practice Exercises Work these exercises without using a computer. Do use your calculator. At the end of the document you fill find the answers. If you need more practice, please work the exercises at the end of the chapters in Howell. Exercise 1 Students in my undergraduate statistics class, Summer, 2010, were asked to rate how fearful they were of the course (statophobia), using a scale from 0 (absolutely no fear) to 10 (extreme sympathetic arousal and crippling emotions). Here are the data for the male students: Statopha Frequency 5 1 7 2 10 1 Total 4 a. Gender Male For these 4 scores, compute the mean, median, mode, range, sample variance, and sample standard deviation. Compare the mean to the median and then comment on the shape of the distribution. Y 5 7 7 10 2 5 .0625 .0625 7 Page 2 Exercise 2 Here are the data for the female students in that same class: Statopha Frequency 5 3 6 4 7 2 8 3 9 2 Total 14 a. Gender Female For these 14 scores, compute the mean, median, mode, range, sample variance, and sample standard deviation. Y 5 5 5 6 6 6 6 7 7 8 8 8 9 9 0 0 1 1 1 2 2 3 3 3 .618 .618 .618 .618 .044 .044 1 1 1 4 4 Page 4 And Now For A Little Fun To find the answer to each of the below, do the indicated calculation on an floating decimal point calculator and then invert the calculator to read the answer from the display. 1. An evil German, Nazi minister of propaganda, 11(22842 463) 2. German phrase often said person in item 1: 3 3. Magazines printed on glossy paper (British) 4. What roosters always are, hens never are: 2353 2 1,915,456 5. What does the do after accepting his proposal of marriage 7334 2 2789 First two words: 1(800 ) Second two words: .0912(.867) 6. Mr. hometown: 4(952 248) Page 5 Answers Exercise 1 Sum Mean 7 Sum of squared deviations from the mean 12 Sample variance 4 Sample standard deviation 4 2 The median location is 2. The 2 score from either tail falls between one 7 and the other 7. The mean of 7 and 7 is 7. The median is 7. The mean is a bit higher than the median, indicating a bit of positive skewness. If you used SAS or SPSS to compute the g1 estimate of skewness, it would be Exercise 2 Sum 95 Mean 6 Sum of squared deviations of scores from their mean 3(3) 4(.618) 2(.044) 3(1) 2(4) 26. Sample variance 2 Sample standard deviation 2 1 The median location is 7. The 7 score from either tail falls between a 6 and a 7. The mean of 6 and 7 is 6. The median is 6. The mean is slightly greater than the median, indicating a little bit of positive skewness. If you used SAS or SPSS to compute the g1 estimate of skewness, it would be Exercise 3 9 6 1 Standard Score 100 123 The boy named Sue: z 9 7 2 Standard Score 100 (.849)(15) 112 The means and standard deviations we have used here are what psychologists call That is, they estimate the characteristics of a particular population of
Descriptive Statistics Practice Exercises
Course: Psychological Statistics (PSYC 2101)
University: East Carolina University
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