Female graduate nurses scored an average of 89% on the first midterm examination. Male graduate nurses also scored an average of 89% on the first midterm examination. What does this mean? (Select all that apply.)
a. The same number of men and women failed the test.
b. If the passing score is 75%, fewer students failed in both groups than the number that passed.
c. The overall combined average on the midterm, for both classes, is 89%.
d. Both classes have the same range.
e. Both classes have identical variances and standard deviations.
f. The median score is the same for both classes.
g. The mode score is the same for both classes.
ANS: B, C
The most commonly used measure of central tendency is the mean. The mean is the sum of the scores divided by the number of scores being summed. Consequently, it provides an average of the scores for each group. Combination of the groups provides the same group mean, since the means are identical. The values for mode and median are not provided, so no conclusions can be drawn about these. Measures of dispersion (standard deviation, range, variance) are not provided, and cannot be assumed to be identical between groups. Since 100% (the highest possible passing score) and 74.9% (the highest possible failing score) average 87.5% and the overall combined mean is higher than this, more students passed than failed in both groups, and this is true, as well, for the combined group.
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