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SWBAT: Assess the normality of a distribution. Do Now: A random sample of golf scores gives the following summary statistics: n = 20, x = 84.5, S[x] =

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Presentation on theme: "SWBAT: Assess the normality of a distribution. Do Now: A random sample of golf scores gives the following summary statistics: n = 20, x = 84.5, S[x] ="— Presentation transcript:

1 SWBAT: Assess the normality of a distribution. Do Now: A random sample of golf scores gives the following summary statistics: n = 20, x = 84.5, S[x] = 11.5, min = 68, Q[1] = 78, Med = 86, Q[3] = 91, Max = 112. What can be said about the number of outliers? (A) 0 (B) 1 (C) 2 (D) At least 1 (E) At least 2

2 SWBAT: Assess the normality of a distribution. To determine whether a data set is Normally distributed: 1) Plot the data. Make a dotplot, box plot, or histogram and see if the graph is approximately symmetric and bell-shaped.

3 SWBAT: Assess the normality of a distribution. 2) Normal Probability Plots. The plots are constructed by plotting each observation in a data set against its corresponding percentile’s z-score 1.Enter data into list (L1) 2.Define Plot1 3.Use ZoomStat (9)

4 SWBAT: Assess the normality of a distribution. Example: Let’s examine the data on unemployment rates in the 50 states in November 2009.Here are the data arranged from lowest (North Dakota’s 4.1%) to highest (Michigan’s 14.7%)

5 SWBAT: Assess the normality of a distribution. Example of non-normal data: The data below shows the survival times in days of 72 guinea pigs after they were injected with infectious bacteria in a medical experiment.


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