Assume that an instructor gave two forms of a quiz to a class of 20 students. Th
ID: 3458322 • Letter: A
Question
Assume that an instructor gave two forms of a quiz to a class of 20 students. The results on this quiz are presented in the table to the right.
1) Paste appropriate tabular output from SPSS that shows (at least) the mean, variance, and standard deviation for the two quizzes. You should produce a single table, which should show these statistics for each quiz independently (two sets of 10 scores), not combined. (1 point) Provide the table with an APA-style title. (1 point)
Descriptive Statistics
N
Minimum
Maximum
Mean
Std. Deviation
Variance
Form_A
10
3.00
8.00
4.5000
1.35401
1.833
Form_B
10
1.00
10.00
4.5000
3.92287
15.389
Valid N (listwise)
10
2) Compare the two distributions in terms of their central tendency. (1 point)
3) Compare the two distributions in terms of their variability. (1 point)
Descriptive Statistics
N
Minimum
Maximum
Mean
Std. Deviation
Variance
Form_A
10
3.00
8.00
4.5000
1.35401
1.833
Form_B
10
1.00
10.00
4.5000
3.92287
15.389
Valid N (listwise)
10
Explanation / Answer
2. In terms of their central tendency, the two distributions are clustered around the same value of the mean. This means that the average score for both the quizzes is 4.5.
3. Despite the equal means, the scores on Form A are more packed or clustered around the mean, whilst the scores on Form B are more spread out. Thus, the variability or differences within the student group were greater on Form B than on Form A.
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