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Appendix A
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Descriptive Statistics
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Statistics used to organize and summarize data in a meaningful way
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Frequency Distributions
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A summary of how often various scores occur in a sample of scores. Score values are arranged in order of magnitude, and the number of times each score occurs is recorded
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Histogram
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A way of graphically representing a frequency distribution; a type of bar chart that uses vertical bars that touch
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Frequency polygon
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a way a graphically representing a frequency distribution; frequency is marked above each score category on the graph’s horizontal axis, and the marks are connected by straight lines
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Skewed Distributions
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An asymmetrical distribution; more scores occur on one side than the other; In a positively skewed distribution, more scores are low
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Symmetrical Distribution
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A distribution in which the scores fall equally on both sides of the graph, the normal curve is an example
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Measure of Central Tendency
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A single number that presents some information about the “center” of a frequency distribution
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Mode
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The most frequent occurring score in a distribution
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Median
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The score that divides a frequency in half, so that the same number of scores lie one both sides
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Mean
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The sum of a set of scores in a distribution divided by the number of scores; the mean is usually the most representative measure of central tendency
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Measure of Variability
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A single number that presents information about the spread of scores in a distribution
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Range
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A measure of variability; the highest score distribution minus the lowest score
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Standard Deviation
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A measure of variability; expressed as the square root of the sum of the squared deviations around the mean divided by the number of scores in the distribution
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z Score
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A number, expressed in standard deviation units, that shows a score’s deviation from the mean
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Standard Normal Curve
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A symmetrical distribution forming a bell- shaped curve in which the mean, median, and mode are all equal and fall in the exact middle
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Correlation
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The relationship between two variables
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Correlation Coefficient
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A measure of the magnitudes and directions of the relationships between two variables. The closer the correlation is to +1 or –1, the stronger the relationship is. A positive correlation coefficient indicates that as one variable increase, the other tends to increase, the negative correlation coefficient indicates as one variable increases, the other tends to decrease
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Scatter Diagram
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A graph that represents the relationship between two variables
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Inferential Statistics
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Statistical techniques that allow researchers to determine whether the outcomes in a study are likely to be more than just chance events and whether they can legitimately generalized to a larger population
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Population
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A complete set of something-people, nonhuman animals, objects, or events
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Sample
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A subset of a population
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