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Statistics and Data (Algebraic) Parameters and Statistics Mean, Median, and Mode The Five-Number Summary Boxplots Variance and Standard Deviation Normal.

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Presentation on theme: "Statistics and Data (Algebraic) Parameters and Statistics Mean, Median, and Mode The Five-Number Summary Boxplots Variance and Standard Deviation Normal."— Presentation transcript:

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2 Statistics and Data (Algebraic)

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4 Parameters and Statistics Mean, Median, and Mode The Five-Number Summary Boxplots Variance and Standard Deviation Normal Distributions … and why The language of statistics is becoming more commonplace in our everyday world.

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6 The median of a list of n numbers {x 1,x 2,…,x n } arranged in order (either ascending or descending) is the middle number if n is odd, and the mean of the two middle numbers if n is even.

7 The mode of a list of numbers is the number that appears most frequently in the list.

8 Find the (a) mean, (b) median, and (c) mode of the data: 3, 6, 5, 7, 8, 10, 6, 2, 4, 6

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12 A number in a data set can be considered an outlier if it is more than 1.5×IQR below the first quartile or above the third quartile.

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15 If the data for a population are normally distributed with mean μ and standard deviation σ, then Approximately 68% of the data lie between μ - 1σ and μ + 1σ. Approximately 95% of the data lie between μ - 2σ and μ + 2σ. Approximately 99.7% of the data lie between μ - 3σ and μ + 3σ.

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17 Text pg783/784 Exercises #2-26 (intervals of 4)


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