homework3_problem set-1 (1)
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School
California State University, Sacramento *
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Course
133
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
3
Uploaded by BaronHummingbird2397
CHAD 133 PROBLEM SET 1 Complete the following problems. Show all work. 1)
A high school teacher at a small private school assigns trigonometry practice problems to be worked via the net. Students must use a password to access the problems and the time of log-in and log-off are automatically recorded for the teacher. At the end of the week, the teacher examines the amount of time each student spent working the assigned problems. The data are provided below in minutes. 11 18 15 18 12 12 19 20 14 11 14 13 16 17 1a) Find the Mean, Median, and Mode for the above data. 1b) Draw a frequency polygon for these data. 1c) What does this frequency distribution and central tendency data tell you about students' length of time on the computer solving trigonometry problems?
2)
Midterm exam scores for a small advanced anatomy class are provided below. Scores represent percent of items marked correct on the exam. 87 99 75 87 94 75 35 88 87 93 2a) Find the Mean, Median, and Mode for the above data. 2b) Draw a histogram for these data. 2c) What does this histogram and central tendency data tell you about students' performance on the midterm (the traditional grading scale is used)? 3)
4
th
graders Susie and John both take similar standardized math tests at their respective schools. When Susie’s test was administered, 100 children were tested with a mean of 25 and a standard deviation of 5. In John’s school, there were 50 students taking the test, with a mean of 50 and a standard deviation of 10. If Susie scored 30 and John scored 55 on their respective tests, which student scored better in math skills?
4)
A psychologist is studying children's aggression in different play areas. She trains observers to rate children's aggression on a scale from 1 (low) to 10 (high), then has them observe preschool children randomly assigned to play in either the art or block play areas of the classroom. She obtains the following results: Art area (n=6) Block area (n=6) 1 6 4 5 4 3 4 5 2 6 3 5 4a) Find the Mean for each group. 4b) Use a bar graph to graph the group means. How is this graph different from a frequency polygon? 4c) Compute the variance and the standard deviation for the above groups. What do these statistics tell you about the data?
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