# Statistic problems

1. Find the mean, median, and mode for the set of scores in the following frequency distribution table:

X

10
9
8
7
6
5

f

2
3
5
6
3
1

2. A sample of n= 20 scores has a mean of M=6. If one person with a score of X= 2 is added to the sample, what will be the value of the new mean?

3. A sample of n = 7 score has a mean of M = 5. After one new score is added to the sample, the new mean is found to be M=7. What is the value of the new score?

4. A population has u = 100 and o = 20. If you select a single score from this population, on the average, how close would it be to the population mean? Explain your answer.

5. A sample of n= 20 scores has a mean of M= 30.
a. If the sample standard deviation is s = 10, would a score of X = 38 be considered an extreme value (out of the tail of the distribution)?
b. If the sample standard deviation is s = 2, would a score of X = 38 be considered an extreme value) out in the tail of the distribution)?

6. For the following scores:
1, 0, 4, 1, 1, 5
a. Calculate the mean.
b. Find the deviation for each score, and check that the deviation sum to zero.
c. Square each deviation and compute SS.

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