RESEARCH METHODS THINKING CRITICALLY WITH PSYCHOLOGICAL SCIENCE
THE NEED FOR PSYCHOLOGICAL SCIENCE
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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a conclusion cannot be drawn from the data
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there is high variability in scores
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the scores are clustered around the mean
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the mode should be used instead of the median
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Detailed explanation-1: -Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out. A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.
Detailed explanation-2: -The standard deviation is a statistic that tells you how tightly data are clustered around the mean. When the sizes are tightly clustered and the distribution curve is steep, the standard deviation is small.
Detailed explanation-3: -There is no issue for the standard deviation to be greater than the mean. Simply take the Standard Normal distribution, which has a mean of 0 and a standard deviation of 1. To get a standard deviation greater than the mean it means that the data allows for negative values.
Detailed explanation-4: -As a rule of thumb, a CV >= 1 indicates a relatively high variation, while a CV < 1 can be considered low. This means that distributions with a coefficient of variation higher than 1 are considered to be high variance whereas those with a CV lower than 1 are considered to be low-variance.