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PSY201H1 (45)
Chapter 2

Chapter 2

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Gillian Rowe

Chapter 2 Frequency Distributions 21 Introduction to Frequency DistributionsFrequency distributionorganized tabulation of the number of individuals located in each category on the scale of measurement shows how individual scores are distributed on the scalejob of descriptive stats is to simplify the organizationpresentation of data Places scores in order from highest to lowest grouping together all individuals who have the same scorethe distribution either shown as a table or graph presents these two elements1 The set of categories that make up the original measurement scale2 A record of the frequency or number of individuals in each category 22 Frequency Distribution TablesSimplest table presents the measurement scale by listing the different measurement categories X values in a column from highest to lowestbeside each X value we indicate the frequency or number of times that particular measurement occurred in the data example on page 4The X values in a frequency distribution table represent the scale of measurement NOT the actual set of scoresfrequencies can be added up to find the total number of scores N Obtaining X from a Frequency Distribution TableYou must take into account the frequencies of each score ex if X5 has f2 and X3 has f4 then you show 553333 to obtain Xexamples on page 5 and 6You can also use another methodmultiply each X value by its frequency and then add these products the sum may be expressed as fX Proportions and PercentagesProportion pmeasures the fraction of the total group that is associated with each score often called relative frequencies most commonly appear as decimals ex if there were 2 out of 10 people with X4 the proportion would be 210020proportionpfNPercentagesex 15 of the class earned As 23 earned Bs and so on first you find the proportion p and then multiply by 100percentagep100fN100Examples for proportion and percentage on page 6 Grouped Frequency Distribution TablesCan create a table by grouping the scores into intervals and then listing the intervals in the table instead of listing each individual scoreex the table could show the number of students who had scores in the 90s the 80s and so on Called a grouped frequency distribution table because we are presenting groups of scores rather thanindividual valuesgroupsintervals are called class intervalsy Rule 1should have about 10 class intervals an approximate because too many becomes too much and defeats the clear picture purpose and too few causes you to lose info
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