Suppose two competitive friends, Student A and Student B are both finishing up a course on technical writing at different colleges. At the end of the semester, they compare their grades to see who did better in this course. Each friend had to complete a different number of graded assignments and exams where each grade was given equal weight. The grades earned by the two students on all graded assignments and exams are as follows. Student A: 78, 89, 95, 64, 98, 0, 87, 84, 76, 93, 89, 77, 61 Student B: 87, 79, 88, 91, 89, 77, 86, 93, 105, 89 1. For each set of grades, determine the mean, median, mode, and range. Round answers to the nearest tenth, if necessary. Comparison of Students' Grades Student A Student B Mean Median Mode Range 2. Compare the grades of the two students. Which value(s) did you use in your comparison? Explain your reasoning. 3. Determine which value(s) in each student's grades are outliers and remove the outlier(s) from the data sets. Explain why each data point you removed is an outlier. 4. For the modified data set, determine the mean, median, mode, and range again. Round the answers to the nearest tenth, if necessary. Comparison of Students' Grades with Outliers Removed Student A Student B Mean Median Mode Range 5. Do these new values change your mind of which student performed better in the technical writing course? Explain why or why not? 6. Do you think outliers should be removed when comparing grades between students? Explain your reasoning.
Suppose two competitive friends, Student A and Student B are both finishing up a course on technical writing at different colleges. At the end of the semester, they compare their grades to see who did better in this course. Each friend had to complete a different number of graded assignments and exams where each grade was given equal weight. The grades earned by the two students on all graded assignments and exams are as follows. Student A: 78, 89, 95, 64, 98, 0, 87, 84, 76, 93, 89, 77, 61 Student B: 87, 79, 88, 91, 89, 77, 86, 93, 105, 89 1. For each set of grades, determine the mean, median, mode, and range. Round answers to the nearest tenth, if necessary. Comparison of Students' Grades Student A Student B Mean Median Mode Range 2. Compare the grades of the two students. Which value(s) did you use in your comparison? Explain your reasoning. 3. Determine which value(s) in each student's grades are outliers and remove the outlier(s) from the data sets. Explain why each data point you removed is an outlier. 4. For the modified data set, determine the mean, median, mode, and range again. Round the answers to the nearest tenth, if necessary. Comparison of Students' Grades with Outliers Removed Student A Student B Mean Median Mode Range 5. Do these new values change your mind of which student performed better in the technical writing course? Explain why or why not? 6. Do you think outliers should be removed when comparing grades between students? Explain your reasoning.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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Transcribed Image Text:Suppose two competitive friends, Student A and Student B are both finishing up a course on technical writing at different
colleges. At the end of the semester, they compare their grades to see who did better in this course. Each friend had to
complete a different number of graded assignments and exams where each grade was given equal weight. The grades
earned by the two students on all graded assignments and exams are as follows. Student A: 78, 89, 95, 64, 98, 0, 87, 84,
76, 93, 89, 77, 61 Student B: 87, 79, 88, 91, 89, 77, 86, 93, 105, 89
1. For each set of grades, determine the mean, median, mode, and range. Round answers to the nearest tenth, if
necessary. Comparison of Students' Grades Student A Student B Mean Median Mode Range
2. Compare the grades of the two students. Which value(s) did you use in your comparison? Explain your reasoning.
3. Determine which value(s) in each student's grades are outliers and remove the outlier(s) from the data sets. Explain why
each data point you removed is an outlier.
4. For the modified data set, determine the mean, median, mode, and range again. Round the answers to the nearest
tenth, if necessary. Comparison of Students' Grades with Outliers Removed Student A Student B Mean Median Mode
Range
5. Do these new values change your mind of which student performed better in the technical writing course? Explain why
or why not? 6. Do you think outliers should be removed when comparing grades between students? Explain your
reasoning.
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