Statistics, Lab #1 Name: _______,________ (print) last first How "different" is different? - Consider the following hypothetical exam scores for classes A, and B. Construct a histogram for each set of class score, and use the same scaling from 30 - 100 with interval length of 5. (x-min = 30, x-max = 100, xscl = 5) - Both histograms should be on the same page, one underneath the other. Class A 69 72 70 71 72 74 72 68 79 70 70 71 72 70 72 71 68 73 72 70 72 70 70 68 66 70 69 70 68 77 70 68 65 71 72 73 66 70 74 69 72 71 72 73 72 70 74 71 68 70 70 74 70 66 72 73 69 66 72 67 68 71 72 72 67 68 70 75 71 71 76 71 73 65 74 72 68 72 68 69 71 70 73 73 73 75 62 70 69 73 64 74 70 74 70 67 68 68 64 71 Class B 56 61 67 57 81 68 75 72 91 71 66 96 83 62 78 71 61 68 72 72 60 81 74 71 88 76 79 95 72 80 61 72 85 77 77 76 40 96 59 69 68 53 72 70 75 84 76 81 71 55 99 86 64 71 58 72 50 70 82 73 72 65 90 55 70 80 80 72 83 73 55 81 73 71 56 71 49 50 77 65 77 67 71 55 79 67 79 49 56 67 74 46 67 69 76 76 75 85 45 86 - Write one sentence describing the similarity. ________________________________________________________________________ - Write one sentence describing the difference. ________________________________________________________________________ - Describe a different scenario for each class A and class B that would explain how the scores are laid out... ________________________________________________________________________ ________________________________________________________________________ 2 Mean vs. Median (Which is better? Huh.) 1. Consider the following hypothetical hourly wages for a group of De Anza students: 14.00 15.79 14.97 15.18 14.53 16.28 15.31 13.04 15.63 14.37 14.75 15.58 15.25 16.81 13.86 15.93 16.87 14.91 14.20 13.53 15.40 15.45 15.87 16.22 a. Construct a 4 or 5 class histogram on a separate page for the above data. Make sure to label and scale x and y-axes. b. Describe the shape of the distribution: __________________________________ c. Hypothesize how the mean and the median compare, considering the shape of the distribution. d. Compute the mean and the median. ____________________________________ e. If you were discussing what is the typical wages that De Anza students is earning, would it matter which measure you would report? _________________________________ 2. Next consider the following hypothetical hourly wages for a group of students from a competing school, like the city college: 14.56 16.68 15.15 15.38 13.56 16.42 14.26 14.77 15.62 13.83 48.28 14.55 15.39 15.51 13.79 13.92 43.50 16.92 15.90 14.61 13.63 14.75 15.37 16.03 13.92 f. Construct a histogram. Make sure to label and scale x and y-axes. g. Describe the shape of the distribution: __________________________________ h. Hypothesize how the mean and the median compare, considering the shape of the distribution.____________________________________________________ i. Compute the mean and the median. ____________________________________ j. What measure should be reported to a student who is prospecting a part-time job and what kind of wages should they expect? Conclusion: In a symmetrical distribution ... _____________________________________________ in a skewed distribution..._________________________________