Problem Solution 2

Problem 1:

Find the mean, median, and mode for the scores in the following frequency distribution table:

(See pp. 99-100 for directions in your text book)

X f

8 1

7 4

6 2

5 2

4 2

3 1

Problem 2:

a. Compute the variance and standard deviation for the following data:

i. 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8 These are data are for a population.

b. Compute the variance and standard deviation for the same data, except now consider that the data are for a sample from a population.

(See pp. 109 and 116 for directions in textbook)

Problem 3:

Four students each received a raw score of 22 on a different test. Compute the z-score for the raw score value of 22 for each student, given information about the distributions of X values for each test. Which student (a, b, c, or d) had the highest score value, compared to the normative group who took the same test? Which student did the poorest in this group, compared to the normative group who took the same test? Why?

a. X = 22, when M = 20, SD = 5, Z = ?

b. X = 22, when M = 30, SD = 5, Z = ?

c. X = 22, when M = 16, SD = 2, Z = ?

d. X = 22, when M = 10, SD = 8, Z = ?

(See p. 160 in textbook)

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