1. (18 pts) Twenty students took a test. The following are the scores. 77 59 84...

 

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1. (18 pts) Twenty students took a test. The following are the scores. 77 59 84 83 70 80 83 82 85 92 97 88 87 86 99 93 79 63 81 68 Answer/Find the following for the above sample a. Mean: 81.8 b. Median: 83 c. Mode: 83 d. Standard Deviation: 10.50 e. Variance: 110-27 f. First quartile: 78 g. Third Quartile: 87.5 h. Find the z-score for the value 92. Would it be unusual to get 92? Explain. Z=92-81.8 10.50 = =0.97 i. Construct a frequency distribution with 5 classes. 1. (18 pts) Twenty students took a test. The following are the scores. 77 59 84 83 70 80 83 82 85 92 97 88 87 86 99 93 79 63 81 68 Answer/Find the following for the above sample a. Mean: 81.8 b. Median: 83 c. Mode: 83 d. Standard Deviation: 10.50 e. Variance: 110-27 f. First quartile: 78 g. Third Quartile: 87.5 h. Find the z-score for the value 92. Would it be unusual to get 92? Explain. Z=92-81.8 10.50 = =0.97 i. Construct a frequency distribution with 5 classes.