# DONDRE Learning Activity Statistics Exercises Template

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EDUC 606 L EARNING A CTIVITY : S TATISTICS E XERCISES S TUDENT T EMPLATE Type your answers directly in the document in the spaces provided. Please consider highlighting, starring*, or changing the font color of answers for ease of instructor grading. You MUST show your work to be eligible for partial credit . 1. (20 Pts, 1 pt each ). Calculate the mean, median, mode, standard deviation, and range for the following sets of measurements (fill out the table): a. 20, 18, 17, 17, 19 b. 15, 10, 7, 6, 4 c. 28, 28, 28, 28, 28 d. 10, 10, 7, 6, 4, 79 DISTRIB MEAN MEDIAN MODE SD RANGE a. 18.2 18 17 1.17 3 b. 8.4 7 None 3.83 11 c. 28 28 28 0 0 d. 19.3 8.5 10 26.77 75 2. (20 Pts, 5 pts each ) Answer the following questions. a. Why is the SD in (d) so large compared to the SD in (b)? The measurement 79 is an outlier that skews the data compared to the data set of (b). b. Why is the mean so much higher in (d) than in (b)? Due to the high SD of (d) being greater than the SD of (b) makes the distance from the means greater for (d) and (b). c. Why is the median relatively unaffected? Despite the outlier the scores are relatively still low despite its effect on the data points. d. Which measure of central tendency best represents the set of scores in (d)? Why? A- Represents the set of central tendencies best because, the mean is 18.2, the median is 18, and the mode is 17 which shows the SD of 1.17 and each measurement was closer to the mean with only being 1 SD away. Page 1 of 7
EDUC 606 3. ( 4 pts ) Determine the semi-interquartile range for the following set of scores. 10.25 92 95 89 65 99 100 85 67 72 99 85 100 4. (24 pts, 2 pts each ) Fill in the blanks on the table with the appropriate raw scores, z - scores, T-scores, and approximate percentile ranks. You may refer to the distribution curve below. Note: the Mean = 50, SD = 5. RAW z T Percentile 40 -2 30 2.3 62.5 2.5 75 13.59 42.5 -1.5 35 2.1 51.5 1 60 84.13 Page 2 of 7
EDUC 606 5. (6 pts, 3 pts each) The following are the means and standard deviations of some well- known standardized tests, referred to as Test A, Test B, and Test C. All three yield normal distributions. Test Mean Standard Deviation Test A 300 75 Test B 250 4 Test C 40 12 a. ( 3 pts ) A score of 275 on Test A corresponds to what score on Test B? _ 248.68 ___ b. ( 3 pts ) A score of 400 on Test A corresponds to what score on Test C? _ 55.96 ___ 6. (12 pts, 2 pts each) The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. For each of the following problems, indicate the percentage or score called for by the problem and select the appropriate distribution curve (from below) that relates to the problem. Page 3 of 7