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FREQUENCY DISTRIBUTIONS

FREQUENCY DISTRIBUTIONS. What is a Frequency Distribution? What are Frequency Distributions Used For? Ways of Displaying Frequency Distributions Describing Frequency Distributions Frequency Distribution Statistics. What is a Frequency Distribution?.

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FREQUENCY DISTRIBUTIONS

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  1. FREQUENCY DISTRIBUTIONS • What is a Frequency Distribution? • What are Frequency Distributions Used For? • Ways of Displaying Frequency Distributions • Describing Frequency Distributions • Frequency Distribution Statistics

  2. What is a Frequency Distribution? • raw score distribution: list of each individual’s score • frequency distribution: list of each score that appears and how many times each score occurs

  3. What are Frequency Distributions Used For? • Summarize a large set of data. • Describe the shape of a distribution. • Needed for inferential statistics.

  4. Ways of Displaying Frequency Distributions • Table • Frequency Polygon • Histogram • Bar Graph

  5. Frequency Distribution Table x f 7 5 6 3 5 8 4 8 3 9 2 10 1 7

  6. 15 f 10 5 0 1 2 3 4 Frequency Polygon Best for quantitative/continuous data. Study Time in Hours

  7. 15 f 10 5 0 1 2 3 4 Histogram Best for quantitative/continuous data. Study Time in Hours

  8. Bar Graph Best for qualitative/discrete variables. 15 f 10 5 Bus Psy Bio Art Major

  9. Guidelines for Graphs • Label units. • Make axes proportional (y axis should be 2/3 to 3/4 length of x axis). • Make bars equal width. • Keep it simple.

  10. Describing Frequency Distributions symmetrical: same on both sides

  11. skewed: scores piled on one side body tail positive skew negative skew

  12. kurtosis: steepness leptokurtic platykurtic mesokurtic

  13. Frequency Distribution Statistics • relative frequency: proportion of scores that are x • cumulative frequency: number of scores up to and including x • percentile rank: percentage of scores up to and including x • percentile: x score at a percentile rank

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