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MATH 1342 CHAPTER 3 HANDOUT

MATH 1342 CHAPTER 3 HANDOUT - CHAPTER 3 SUMMARY Measurers...

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CHAPTER 3 SUMMARY Measurers of Central Tendency: Population Mean: 1 N i i X N μ = = Sample Mean: 1 n i i X X n = = Where 1 n i i X = is the sum of individual values, N is population size, n is sample size. Median = Middle value if n (or N) is odd, the mean of the middle 2 values if n (or N) is even. Mode(s): The most frequent value(s). Measures of Dispersion: Range = Maximum – Minimum. Variance of Population: 2 1 2 2 2 1 1 ( ) N i N N i i i i i X X X N N N μ σ = = = ÷ - - = = Variance of Sample: 2 1 2 2 2 1 1 ( ) 1 1 n i n n i i i i i X X X X n s n n = = = ÷ - - = = - - Standard Deviation of Population: 2 1 2 2 2 1 1 ( ) N i N N i i i i i X X X N N N μ σ σ = = = ÷ - - = = = Standard Deviation of Sample: 2 1 2 2 2 1 1 ( ) 1 1 n i n n i i i i i X X X X n s s n n = = = ÷ - - = = = - - Empirical Rule: 68% of a normal data set are between 1 μ σ - and 1 μ σ + 95% of a normal data set are between 2 μ σ - and 2 μ σ + 99.7% of a normal data set are between 3 μ σ - and 3

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MATH 1342 CHAPTER 3 HANDOUT - CHAPTER 3 SUMMARY Measurers...

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