1. What does it mean for a sample to have a standard deviation of zero? Describe

Question

1. What does it mean for a sample to have a standard deviation of zero? Describe the scores in such a sample. (2 pts) 2. For the data in the following sample: 1, 4, 3, 6, 2, 7, 18, 3, 7, 2, 4, 3 a. Compute the mean. (2 pts) b. Compute the standard deviation. (2 pts) c. Find the median. (2 pts) d. Put the data in a frequency distribution table. (2 pts) 3, On an exam with = 75, you obtain a score of X = 80. a. Would you prefer that the exam distribution had = 2 or 5-10? Why? (2 pts) b. If your score is X-70, would you prefer = 2 or = 10? Why? (2 pts) 4. Calculate SS, variance, and standard deviation for the following population of N-8 scores: 0.1, 0,3,6, 0,2,0 (6 pts)

Explanation / Answer

Please post 1 question per post. Here' the answer to the Q3:

a. Sigma = 2, and 10 ?

If mean is 75, and X = 80, then i will prefer the standard deviation such that my score of X=80 is more deviations
away from mean.

Z= (80-75)/2 or (80-75)/10 = 2.5 or .5?

2.5 is larger and hence, Sigma =2 is preferred

b.

If score was 70, then Z = -5 or -1. Z = -1 was preferred score , because I don't want a score that is too many deviation below mean. Hence, Sigma = 10 is preferred

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