2.5 - Comparing Mean Median and Mode For negatively(left skewed distributions Mean < Median < Mode Mean Median Mode 1 Skewed Right For positively

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1 Comparing Mean, Median and Mode For negatively (left) skewed distributions Mean < Median < Mode Mode Median Mean
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2 Skewed Right Mode Median Mean For positively skewed distributions Mean > Median > Mode
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3 Symmetric Distribution Mean = Median = Mode For symmetric (not skewed) distributions Mean = Median = Mode
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4 Variability Variability: No Variability:
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5 Measures of Spread Different ways of computing the spread/ variability of a dataset. 1. Range 2. Variance 3. Standard Deviation 4. Inter Quartile Range (IQR)
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6 Range RANGE = Maximum – Minimum Easy to find Easy to interpret Depends only on the two extreme values Two datasets with same range could possibly have completely different variability. Not “Robust” ( influenced by “outliers”)
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Variance VARIANCE tells us the squared distance between a typical observation and the mean of the data. Average squared distance between all the observations and the mean. Population Variance:
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This note was uploaded on 02/15/2011 for the course STAT 051 taught by Professor Balaji during the Fall '10 term at GWU.

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2.5 - Comparing Mean Median and Mode For negatively(left skewed distributions Mean < Median < Mode Mean Median Mode 1 Skewed Right For positively

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