1. A. Compute the sum of squared deviations for the sample from the mean (SS) using both the definitional and computational formulas - fill in the table below as part of showing your work. For the computational formula, write down the formula and then show all of your work. For the definitional formula, circle your SS answer in the table. If you are using a number you computed as part of filling in the table, you don't have to show the work again (4 pts): Using the Definitional Formula Using the Computational Formula X X2 X-M (X- M)2 8 18 3: 8 4: 14 5: 12 Sum = Sum= Sum= Sum = B. What is the variance of these scores (1 pt - show your work)? C. What is the standard deviation of these scores (1 pt - show your work)? 2. What would be the best measure of central tendency if you were measuring NCAA football ranking (1 pt)? a. Mean b. Median c. Mode 3. If you standardized a distribution of scores (change all the scores to z-scores), the distribution will have a standard deviation of (1 pt): a. 0 C. 2 d. 3 4. A distribution of general psychology test scores has a mean of 60 and a SD of 4. What is the z-score for a student who received a 68 (1 pt)? Show all work. 5. A survey of all of the U.S. colleges offering student assistantships revealed that the mean salary per assistant for a semester was $4350. The standard deviation was $750. Show your work for full credit (2 pts each). a. What percentage of students earned more than $4560? b. If I randomly sample one student with an assistantship, what is the probability that student earns more than $3390? c. If I randomly sample an individual from this population, there is an 80% probability that this person will have a salary below what value