In: Math
You are a professor of statistics and have been asked to teach a course in social science statistics off-campus to a class of grad students enrolled in the Continuing Education Program of the University. Since you’ve never taught this program before, you don’t know a great deal about the needs and background of the students in the class. In order to learn more, you hand out a survey to each student asking for information on the following variables: age, undergraduate field, number of stats courses taken, and the level of interest in conducting research (coded as low, medium, high). The results are below:
Student # |
Age |
Major |
Statistics Courses |
Research Interest |
1 |
24 |
Poli Sci |
3 |
High |
2 |
55 |
Zoology |
3 |
High |
3 |
26 |
Botany |
0 |
Low |
4 |
55 |
Sociology |
0 |
Low |
5 |
22 |
Poli Sci |
1 |
Low |
6 |
23 |
Sociology |
2 |
Medium |
7 |
24 |
Poli Sci |
2 |
Medium |
8 |
55 |
Forestry |
1 |
Low |
9 |
56 |
Engineering |
9 |
High |
10 |
53 |
Poli Sci |
1 |
Medium |
11 |
26 |
Chemistry |
2 |
Medium |
12 |
24 |
Sociology |
0 |
Low |
13 |
54 |
Physics |
3 |
High |
14 |
51 |
Sociology |
3 |
High |
15 |
55 |
Poli Sci |
0 |
Low |
Analyze your data to give you some useful information about the class. In doing so you need to answer a few things: the level of measurement of the variables, meaningful measures of central tendency for each variable (there can be more than one), the calculated measure of central tendency for each variable (there can be more than one). In order to do that, populate the following table:
Variable |
Level of Measurement |
Meaningful Measures of Central Tendency (there can be multiple) |
Central Tendency Values (there can be multiple) |
Age |
|||
Major |
|||
Statistics Courses |
|||
Research |
Based on the data you collected, calculate the measures of dispersion (specifically the range, variance and standard deviation) for each of the variables that are at the interval level of measurement.
Since all of your data, your measures of central tendency and measures of dispersion. brief paragraph explaining the results of your survey paying special attention to what you, as the instructor, would find useful to bear in mind as you conduct the class. Address each variable, meaningful measures of central tendency for each (providing brief mention as to why you think which are the most useful), and measures of dispersion (where appropriate). You can include graphical representations of the data where it would help to defend the answer.