A.P. STATISTICS – UNIT 1 VOCABULARY (1) Types of Univariate Graphs -- * Histogram * Frequency Distribution * Dot Plot * Stem-and-Leaf Plot (“Stemplot”)

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Presentation transcript:

A.P. STATISTICS – UNIT 1 VOCABULARY (1) Types of Univariate Graphs -- * Histogram * Frequency Distribution * Dot Plot * Stem-and-Leaf Plot (“Stemplot”) * Advantages and Disadvantages of each one (2) NOTE: All of your graphs MUST have a title, as well as labels and scales on all axes (3) CSS: Center, Shape, and Spread * When describing a set of data or a graph, be sure to address these three components. * Potential outliers also

UNIT 1 VOCABULARY, CONTINUED ( PG 2) (4) What words can describe SHAPE? * “Symmetric” * “Uniform” * “Skewed” (left or right?) * “Mound-shaped” >> Your friend, the word “roughly” (5) Categorial vs. Quantitative Variables; Sample Space Statistics versus Parameters

U NIT 1 VOCABULARY, CONTINUED ( PG 3) (6) Measures of Center: Mean, Median, Mode “Resistant” – which ones of these 3 are and which ones aren’t Appropriate uses for each of the 3 M’s (7) n >> the number of items in a data set >> the mean ( average ) of a data set or a sample (pronounced “x-bar”)

U NIT 1 VOCABULARY, CONTINUED (8) Range, Q1, Q3, IQR, 5-number summary of a data set or a sample Range >> the highest value in a data set minus the lowest IQR = Q3 minus Q1 5-number summary: minimum value, Q1, median, Q3, maximum value (9) Boxplots and modified boxplots > “Modified” boxplots have the outliers marked separately > This is the kind of boxplot that we will ALWAYS use from now on.

U NIT 1 VOCABULARY, CONTINUED ( PG 4) (10) 1.5(IQR) formula for outliers In order for a data value “x” to be considered an outlier, either X < Q1 – 1.5(IQR), or X > Q (IQR) (11) Measures of Spread: Range, “s”, and the IQR Range >> highest value in a data set minus the lowest “s” >> the standard deviation of a data set IQR = Q3 – Q1 Which ones of these are resistant and which ones aren’t? Appropriate uses for each of these

U NIT 1 VOCABULARY, CONTINUED ( PG 5) Moving to Chapter Two now….. (12) Z-score (also called “standard score”) > (13) The “ Rule” * sometimes also called “the Empirical Rule” * found on page 5 (all) and page 6 (Activity 5-13) of your “Measures of Spread” packet

U NIT 1 VOCABULARY, CONTINUED ( PG 6) (14) Specific notations for two parameters -- “mew” :the mean of an entire dist/popn -- “sigma”:the standard deviation of a dist/popn (15) The Normal curve > It’s the official name of a distribution, so capitalize. > Properties of any Normal density curve: * Mound-shaped and symmetric * Mean is in the middle (= median) * The equation (page 93) is ridiculous…… * No, you don’t have to know the equation. > The Standard Normal curve