Constructing a Cumulative Frequency Table ©2008, J. T. Stocks, Ph.D. 1 ©2008, J. T. Stocks, Ph.D. 2 Cumulative Frequencies We may calculate cumulative frequencies only for variables measured at the ordinal, interval or ratio levels. For a specific value within a distribution of values, its cumulative frequency refers to the number of values in the distribution that are less than or equal to the specified value. ©2008, J. T. Stocks, Ph.D. Copyright ©2008, J. T. Stocks 3 1 Cumulative Frequency Table ©2008, J. T. Stocks, Ph.D. 4 Calculating Cumulative Frequencies The cumulative frequency (cf) for a specific value within a distribution equals the frequency for the value plus the cumulative frequency for value immediately below, or cf = f + cfBelow where cf refers the number of values less than or equal to a specified value in a distribution f refers to the number of values equal to a specified value in a distribution cfBelow refers to the number of values less than a specified value in a distribution ©2008, J. T. Stocks, Ph.D. 5 Cumulative Frequency of Scores Less Than or Equal to Y=1 ©2008, J. T. Stocks, Ph.D. Copyright ©2008, J. T. Stocks 6 2 Cumulative Frequency of Scores Less Than or Equal to Y=2 ©2008, J. T. Stocks, Ph.D. 8 Cumulative Frequency of Scores Less Than or Equal to Y=3 ©2008, J. T. Stocks, Ph.D. 10 Cumulative Frequency of Scores Less Than or Equal to Y=4 ©2008, J. T. Stocks, Ph.D. Copyright ©2008, J. T. Stocks 12 3 Cumulative Frequency of Scores Less Than or Equal to Y=5 ©2008, J. T. Stocks, Ph.D. 14 Cumulative Frequency of Scores Less Than or Equal to Y=6 ©2008, J. T. Stocks, Ph.D. 16 Cumulative Frequency of Scores Less Than or Equal to Y=7 ©2008, J. T. Stocks, Ph.D. Copyright ©2008, J. T. Stocks 18 4 Cumulative Frequency of Scores Less Than or Equal to Y=8 ©2008, J. T. Stocks, Ph.D. 20 Cumulative Frequency Table ©2008, J. T. Stocks, Ph.D. Copyright ©2008, J. T. Stocks 21 5
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