Lecture2 Freq. Distribution

# Lecture2 Freq. Distribution - Why bother Frequency...

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Why bother? Frequency Distribution (F.D.) - a collection of observations produced by sorting observations into classes and showing their frequency ( ƒ ) of occurrence in each class 1

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Why bother? Unfiltered data can often contain a prohibitive amount of information Condense information into a more manageable/ comprehensible format Identify trends 2
Why bother? Detect outliers Outlier - extreme scores that may indicate errors, interfere with with further statistical analysis, or be informative in its own right 3

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Ungrouped Frequency Distributions 1) Find highest and lowest numbers in data set 2) Plug in values as high and low points in left column of frequency distribution 3) Fill in left column with ALL POSSIBLE VALUES btw. the two extremes, even those with ƒ = 0 4) Count observations and fill in ƒ column Height ƒ 185 2 184 0 183 0 182 0 181 3 180 1 179 0 178 1 177 0 176 2 4
Ungrouped Frequency Distributions 178 176 181 181 176 185 185 180 181 Height ƒ 185 2 184 0 183 0 182 0 181 3 180 1 179 0 178 1 177 0 176 2 { n = 9 observations ƒ = 2 + 3 + 1 + 1 + 2 = 9 5

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Weaknesses of Ungrouped F.D.’s
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