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An overview of central tendency measures, including mean, mode, and median, as well as measures of dispersion such as variance, standard deviation, outliers, and deviation scores. Learn the definitions, computational formulas, and definitional formulas for each statistic.
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Central Tendency - Typical of most representative value of a group of scores. Mean - Arithmetic average of a group of scores; sum of the scores divided by the number of scores. Mode - Value with the greatest frequency in a distribution. Median - Middle score when all the scores in a distribution are arranged from lowest to highest. Outlier - Score with an extreme value (very high or very low) in relation to the other scores in the distribution. Variance - Measure of how spread out a set of scores are; average of the squared deviations from the mean. Deviation Score - Score minus the mean. Squared Deviation Score - Square of the difference between a score and the mean. Sum of Squared Deviations -
Total of each score's squared difference from the mean. Standard Deviation - Square root of the average of the squared deviations from the mean; the most common descriptive statistic for variation; approximately the average amount that scores in a distribution vary from the mean. Computational Formula - Equation mathematically equivalent to the definitional formula. Easier to use for figuring by hand, it does not directly show the meaning of the procedure. Definitional Formula - Equation for a statistical procedure directly showing the meaning of the procedure.