Child Development 133 
Research Methods in Human Development

Sections 02 & 06
Hembree            Fall, 2009

 

Homework #4 - Problem Set I

Due 10/15 - 7 points

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.

15
28
25
48
22
43
49
34
22
33
27
25
22
20
39


  • Find the Mean, Median, and Mode for the above data. 

     

  • draw a frequency polygon for these data. 

 

 

 

 

 

 

 

 

 

  • What does this frequency distribution and central tendency data tell you about students' length of time on the computer solving trigonometry problems?

 

 

 

 

 

2) Bailey has been playing golf on the weekends for the past three years. Recently, she started keeping track of her recorded scores. Her scores for June and July at her favorite 9-hole (par 36) golf course are provided below.

45
49
42
56
41
36
34
38
41
40
42
41
39
38
40
39
36
41

  • Find the Mean, Median, and Mode for the above data. 

 

  • draw a frequency polygon for these data. 

 

 

 

 

 

 

 

 

 

  • What does this frequency distribution and central tendency data tell you about Bailey's golf game?


 

 

 

3) 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

 

  • Find the Mean, Median, and Mode for the above data. 

 

  • draw a frequency polygon for these data. 

     

     

     

     

     

     

     

     

     

  • What does this frequency distribution and central tendency data tell you about students' performance on the midterm (the traditional grading scale is used)?

 

 

 

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 

 

 

  • Find the Mean, Median, and Mode for each group. 

 

 

  • Use a bar graph to graph the group means. How is this graph different from a frequency polygon?

 

 

 

 

 

 

 

  • Compute the variance and the standard deviation for the above groups. What do these statistics tell you about the data?
 



 

 

Send problems, comments or suggestions to: hembrees@csus.edu

California State University, Sacramento
College of Education
Department of Child Development

Updated: August, 2009