Chapter 2 Part 2

# Chapter 2 Part 2 - Chapter 2 Part 2 Frequency Distributions...

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1 Chapter 2 Part 2: Frequency Distributions and Percentiles, Percentile Ranks

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2 Refreshing our memories… Frequency Distributions Qualitative: Categories Quantitative: Numbers Ungrouped or Grouped? Range = 17-3 Range = 82-2 Constructing class intervals for Grouped Divide range by 10 and 20, then pick a good number 82-2=80; 80/10=8 and 80/20 = 4 Good class interval size = 5 Work up from the bottom: 0-4, 5-9, 10-14, etc.
3 Refreshing our memories… Grouped Frequency Distributions Must Be Mutually Exclusive Must Have Equal Intervals Must Be Continuous (all intervals in range listed) Should be listed in descending order Should use approximately 10-20 intervals Should choose easy class interval size (1-9, or multiples of 5) Should try to make lower limits multiples of interval size

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4 Practice Problem 8, to draw a grouped frequency distribution with data in the first four columns
5 Relative Frequency Distributions Relative Frequency Distributions: Shows the proportion or percentage of the total number of observations for the possible categories or scores values in a set of data What proportion or percentage of the total is captured by each class?

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Relative Frequency Distributions Calculations: Proportion (f/n ): divide the frequency (f) of each class by the total frequency count (n); ranges from 0-1 Percentage: multiply each proportion by 100%; ranges from 0-100% Total sum of proportions will equal 1, and sum of percentages will equal 100%. Note: sum may be slightly off if you rounded
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Chapter 2 Part 2 - Chapter 2 Part 2 Frequency Distributions...

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