KEY TERMS
statistics descriptive statistics frequency distribution histogram frequency polygon skewed distribution symmetrical distribution measure of central tendency mode median mean measure of variability range standard deviation z score standard normal curve or standard normal distribution correlation correlation coefficient positive correlation negative correlation scatter diagram or scatter plot inferential statistics t test Type I error Type II error population sample | 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. A symmetrical distribution forming a bell- A finding that two factors vary systematically in opposite directions, one increasing as the other decreases. 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. Failing to find a significant effect that does, in fact, exist. A measure of variability; the highest score in a distribution minus the lowest score. The score that divides a frequency distribution exactly in half so that the same number of scores lie on each side of it. 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. A graph that represents the relationship between two variables. Mathematical methods used to determine how likely it is that a study’s outcome is due to chance and whether the outcome can be legitimately generalized to a larger population. An asymmetrical distribution; more scores occur on one side of the distribution than on the other. In a positively skewed distribution, most of the scores are low scores; in a negatively skewed distribution, most of the scores are high scores. A single number that presents information about the spread of scores in a distribution. Mathematical methods used to organize and summarize data. The relationship between two variables. A finding that two factors vary systematically in the same direction, increasing or decreasing together. A way of graphically representing a frequency distribution; a type of bar chart that uses vertical bars that touch. Test used to establish whether the means of two groups are statistically different from each other. A distribution in which scores fall equally on both sides of the graph. The normal curve is an example of a symmetrical distribution. A branch of mathematics used by researchers to organize, summarize, and interpret data. Erroneously concluding that study results are significant. A number, expressed in standard deviation units, that shows a score’s deviation from the mean. A complete set of something— A numerical indication of the magnitude and direction of the relationship (the correlation) between two variables. A subset of a population. A way of 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. The most frequently occurring score in a distribution. A single number that presents some information about the “center” of a frequency distribution. |