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MAT232: Statistical Literacy Assignment: Week 3 MyStatLab Homework 2023

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Week 3 MyStatLab Homework 1/10 1. 2. Course: MAT232: Statistical Literacy (GSR2002E) Assignment: Week 3 MyStatLab Homework State whether the mean or median would give a better description of the "average" for the measurement below. Explain your reasoning. The average height of all active professional basketball players A. The mean would give a better description of the "average." For the population of basketball players, there are only a few heights that are extreme, and they are not extreme by very large amounts. In this case, the mean would be better because it takes every height into account. B. The mean would give a better description of the "average." A few of the players are substantially taller than the others. These outlier heights would have a strong effect on the median, but the mean would be unaffected by them. C. The median would give a better description of the "average." A few of the players are substantially taller than the others. These outlier heights would have a strong effect on the mean, but the median would be unaffected by them. D. The median would give a better description of the "average." For the population of basketball players, there are only a few heights that are extreme, and they are not extreme by very large amounts. In this case, the median would be better because it takes every height into account. Actual times (in seconds) recorded when statistics students participated in an experiment to test their ability to determine when one minute (60 seconds) had passed are shown below. Find the mean, median, and mode of the listed numbers. 60 48 48             The mean is 57.9 sec. (Round to the nearest tenth as needed.) The median is 56.5 sec. (Round to the nearest tenth as needed.) What is(are) the mode(s)? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The mode(s) is(are) 48 sec. (Use a comma to separate answers as needed.) B. There is no mode. 1/27/2020 Week 3 MyStatLab Homework-Ambra Esquerra 2/10 3. 4. 5. The following table gives the total area in square miles (land and water) of seven states. Complete parts (a) through (c). State Area 1 52,200 2 615,700 3 114,100 4 53,300 5 159,700 6 104,900 7 5,500 a. Find the mean area and median area for these states. The mean is square miles. (Round to the nearest integer as needed.) The median is square miles. b. Which state is an outlier on the high end? If you eliminate this state, what are the new mean and median areas for this data set? State 2 is an outlier on the high end. The new mean is 81617 square miles. (Round to the nearest integer as needed.) The new median is 79100 square miles. (Round to the nearest integer as needed.) c. Which state is an outlier on the low end? If you eliminate this state, what are the new mean and median areas for this data set? State 7 is an outlier on the low end. The new mean is square miles. (Round to the nearest integer as needed.) The new median is square miles. (Round to the nearest integer as needed.) Suppose you have scores of 20 25 30 , , , and 20 on quizzes in a mathematics class. Complete parts (a) through (c). a. What is the mean of these scores? 23.75 b. What score would you need on the next quiz to have an overall mean of 25? 30 c. If the maximum score on a quiz is 50, is it possible to have a mean of 30 after the fifth quiz? Yes No A student's course grade is based on one midterm that counts as % of his final grade, one class project that counts as % of his final grade, a set of homework assignments that counts as % of his final grade, and a final exam that counts as % of his final grade. His midterm score is , his project score is , his homework score is , and his final exam score is . What is his overall final score? 20 15 50 15 84 82

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