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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.

Solution Summary

Step by step solutions to all the problems is provided.

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