William H. Knapp III

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1. For the next group of questions, please use the following dataset {12,15,11,17,13,12,10,12,14,13,19,12,14}. What is the minimum?

2. What is the maximum?

3. What is the range?

4. What's the lower quartile?

5. What's the middle quartile (i.e. the median)?

6. What's the upper quartile?

7. What's the mean?

8. What's the sum of the deviations from the mean? DO NOT USE R FOR THIS QUESTION!

9. What's the mean of the deviations from the mean? DO NOT USE R FOR THIS QUESTION!

10. What's the sum of the absolute deviations from the mean? You can start using R again here! To get the absolute value of some numbers in R, use abs(numbers).

11. What's the mean of the absolute deviations from the mean?

12. What's the sum of the squared deviations (i.e. the sum of squared errors) from the mean?

13. What's the mean of the squared deviations (i.e. the mean squared error) from the mean?

14. What's the variance?

15. What's the standard deviation? Hint: sqrt(number) takes the square root of a number in R.

16. What is the formula for the variance of a population?

$$\frac{x}{N}$$

$$\frac{\sum{x}}{N}$$

$$\frac{\sum{(x-\mu)}}{N}$$

$$\frac{\sum{|x-\mu|}}{N}$$

$$\frac{\sum{(x-\mu)^2}}{N}$$

$$\sqrt{\frac{\sum{|x-\mu|}}{N}}$$

$$\sqrt{\frac{\sum{(x-\mu)^2}}{N}}$$

17. What is the formula for the standard deviation of a population?

$$\frac{x}{N}$$

$$\frac{\sum{x}}{N}$$

$$\frac{\sum{(x-\mu)}}{N}$$

$$\frac{\sum{|x-\mu|}}{N}$$

$$\frac{\sum{(x-\mu)^2}}{N}$$

$$\sqrt{\frac{\sum{|x-\mu|}}{N}}$$

$$\sqrt{\frac{\sum{(x-\mu)^2}}{N}}$$

18. Any two distributions with the same ranges will have the same variance.
True
False

19. Any two distributions with the same mean absolute deviations will have the same variance.
True
False

20. Any two distributions with the same variance will have the same standard deviations.
True
False