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Assignment # 4 â€“ Measures of Dispersion
â€“Please answer each of the following questions. Also, INTERPRET your answers.
In order to complete this assignment please read the lecture: Measures of Dispersion under the Learning Modules. (RANGE, MEAN DEVIATION, VARIANCE, STANDARD DEVIATION).
Due date: February 15, Sunday (by midnight)
*20 points total
- A random sample of five convicts received the follow prison sentences (in years): 3 points
3 7 3 2 10
Find the mode.
Find the median.
Find the mean.
What are the four different measures of dispersion? 1 point
3. Why is the range the most convenient measure of dispersion, yet the most imprecise measure of variability? When would you use the range? 1 point
What is (are) the difference between measures of central tendency and measures of dispersion? 1 points
5. A study based on a sample of 9 students yields the following scores on a 10-point scale of cultural diversity awareness. 5 points
2 6 8 7 1 2 7 2 3
- What is the mean?
- What is the median?
- What is the mode?
- What is the standard deviation?
- The parole board is alarmed by the low number of years actually spent in prison for those inmates sentenced to 20-year sentences. To help them make parole recommendations they gather data on the number of years served for a sample of 5 potential parolees. The number of years served for these 5 parolees is as follows:
Question: What is the standard deviation? 4 points
- What is the standard deviation for the following distribution : 4 points
- A university professor was interested in identifying left-handed students from all of the six introductory-level psychology classes in the department. The number of left-handed students in each class is: 33, 6, 22, 3, 2, 1. What is the range? 1 point
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