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Is it possible for two groups to have the same mean but different standard deviations?
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Yes.
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If all individuals in a group have the same score, what is the value of the standard deviation for the scores?
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Zero.
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In a normal distribution, what percentage of the participants lies within one standard-deviation unit of the mean (i.e., on both sides of the mean)?
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68% (68.2% to be more precise).
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The middle 68% of the participants in a normal distribution have scores between what two values if the mean equals 100 and the standard deviation equals 15?
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85 and 115. (Note: The mean of 100 plus/minus the standard deviation of 15 yields the answer.)
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If the mean of a normal distribution equals 50 and the standard deviation equals 5, what percentage of the participants have scores between 45 and 50?
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34% (or 34.1%)
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How many cases are included in 1.96 units of standard deviation?
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95%
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If the standard deviation for Group X is 14.55, and the standard deviation for Group Y is 20.99, which group has less variability in its scores?
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Group X.
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If the median for a group of participants is 25.00, what is the percentage of participants with a score above 25.00?
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50%.
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Should the “mean” or the “median” be used with ordinal data?
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Median
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How is the range of a set of scores calculated?
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By subtracting the lowest score from the highest.
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Is the “range” or the “interquartile range” a more reliable statistic?
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Interquartile range.
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The interquartile range is the range of what?
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The middle 50% of scores from the participants.
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Suppose a researcher reported that for Group X, the median equals 55.1 and the IQR equals 30.0, while for Group Y, the median equals 62.9 and the IQR equals 25.0. Which group has the higher average score?
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Group Y.
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When the median is reported as the measure of central tendency, it is customary to report which measure of variability?
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The range or interquartile range.
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Statistics use a sample to make __________ about a population.
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Inferences.
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