In: Statistics and Probability
Below are the number of hours spent exercising:
2 |
3 |
4 |
4 |
4 |
5 |
1 |
1 |
4 |
4 |
4 |
1 |
2 |
3 |
3 |
2 |
Mean:
Median:
Mode:
Range:
Variance:
4. Which descriptive statistics from your output would you NOT report for hours spent exercising? Why not?
5. Write a few sentences describing the data (using APA formatting). This interpretation should not include only the numbers, but rather what the numbers tell you about the data.
6. Create a histogram for the hours spent exercising. You can do this by hand or via computer. If you do it by hand simply take a picture and upload it along with your assignment.
7. If you add 4 points to each exercise score, what will the mean and standard deviation be for this variable
Hint: You should not have to recalculate from the raw data to answer questions 7 & 8
8. If you subtract point from each exercise score, what will the mean and standard deviation be for this variable?
9. Give one example of data for each of the following and explain why?
a. When the median is more appropriate to use than the mean?
b. When the mean is more appropriate to use than the median?
c. When you would expect high variability?
d. When you would expect low variability?
10. When describing nominal data, which measure of central tendency is appropriate?
11. Why do we subtract 1 from the number of scores when calculating variance and standard deviation?
12. Describe how would you calculate standard deviation if you know variance?