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Under what circumstances would a score that is located 5 points above the mean be considered relatively close to the mean?
Wiki User
∙ 9y ago
The answer depends on the underlying distribution and variability in the observations. For example, if the distribution is negatively skewed then 5 points above the mean is much more significant than 5 points below the mean.
Next, looking at variablity: if almost all the scores are within -1 and +1 of the mean, then a score of 5 points above the mean is very significant but if the variance is 25, for example, then 5 points above the mean is one standard deviation from the mean: for a Normal distribution around a third of the observations would be further away - that is no big deal and so a score of mean+5 would be considered relatively close to the mean.
Wiki User
∙ 9y ago
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