Mathematics Statistics and graph Assignment
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StatisticsHomeworkMod4.docxAssignment 4.1 Name: ______________
Date: _______________
Use the following exam grades to answer the set of questions 1-4:
56, 64, 72, 74, 84, 98, 80, 86, 74, 68, 51, 78, 75, 91, 63, 84, 79, 69, 76
1. Arrange the data on a line plot.
2. Arrange the data in a stem and leaf graph.
3. Arrange the data in a frequency distribution using five intervals beginning with 50-59:
4. Draw a histogram using the information in #3. Remember to label your axes. (Why is a histogram appropriate for this data?)
The letter grades for one section of MH 113 were as follows:
|
Grade |
Frequency |
|
A |
2 |
|
B |
8 |
|
C |
10 |
|
D |
4 |
|
F |
1 |
5. Draw a bar graph to represent this information. (Why is a bar graph appropriate with this data?)
6. Draw a circle graph for this same information.
Public education expenditures in the United Sates, as a percentage of gross national product, are given in the following table:
|
Year |
Expenditure |
|
1960 |
4.7 |
|
1970 |
7.3 |
|
1980 |
6.5 |
|
1990 |
7.1 |
|
2000 |
7.3 |
|
2010 |
7.9 |
7. Make a line graph representing the data. (Why is a line graph appropriate?)
A high school math teacher has students maintain records on their study time and then compares their average nightly study time to the scores received on an exam. A random sample of the students showed these comparisons:
|
Study Time (Nearest 5 min.) |
Exam Score |
|
15 |
58 |
|
25 |
72 |
|
50 |
85 |
|
20 |
75 |
|
25 |
68 |
|
30 |
88 |
|
40 |
80 |
|
15 |
74 |
|
25 |
78 |
|
30 |
70 |
|
45 |
94 |
|
35 |
75 |
8. Make a scatterplot for the above information. Label the axes appropriately.
9. Draw a line of best fit
10. If a student studies 30 minutes, according to your line of best fit, what will his/her grade be?.
