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Question
- for which group of students—those who completed the test preparation course or those who did not complete the test preparation course—are test scores more variable? please explain.
To determine which group has more variable test - scores, we would typically look at measures of variability such as the range, variance, or standard deviation. If the data for each group (test - preparation course completers and non - completers) is available, the group with the larger range, variance, or standard deviation has more variable test scores. A larger range means a greater spread between the highest and lowest scores. Larger variance or standard deviation values also indicate greater dispersion of scores around the mean.
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We need to calculate measures of variability (range, variance, standard deviation) for each group. The group with the larger value for these measures has more variable test scores.