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PSY201H1 (45)
Chapter 3

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University of Toronto St. George
Kristie Dukewich

Understanding Statistics Chapter 3 PSY201  Grouping Scores  Frequency distribution of grouped scores  How scores are to be presented when there are many so that we can see the shape of the distribution  To construct a frequency distribution of grouped scores  Find the range of scores  Highest sore minus the lowest score  Determine the width of each class interval (i)  i= range/# of class intervals  Remember to count EACH unit, so 50-55 isn’t 5 units wide, it’s 6 units wide  List the limits of each class interval, placing the interval containing the lowest score value at the bottom  Start with the lowest, which must contain the lower limit of the interval  Make the lower limit divisible by i! So if the lowest unit is 42, start with 40 if the i is 5 or 10  Tally the raw scores into the appropriate class intervals  Add the tallies of each interval to obtain the interval frequency  Relative Frequency, Cumulative Frequency, and Cumulative Percentage Distributions  Relative frequency distribution  Indicates the proportion of the total number of scores that occurs in each interval  Relative frequency = f/N [frequency divided by total number of scores]  Cumulative frequency distribution  Indicates the number of scores that fall below the upper limit of each interval  Add the frequency of that interval to the frequencies of all the intervals below it  Cumulative percentage distribution  Indicates the percentage of scores that fall below the upper real limit of each interval  Convert cumulative frequencies to cumulative percentage  cum%=[(cumf)/N] X100  Percentiles  A percentile, or percentile point, is the value on the measures scale below which a specified percentage of scores in the distribution fall  A measurement of relative standing, and to compare an individual score to that of a reference group th  Notation: for 50 percentile point, we write P 50  Means: Value below which 50% of the other values fall  To find a percentile point  Determine the frequency of the scores below the percentile
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