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 SpaceStatistics versus Parameters

UNIT 1 VOCABULARY, CONTINUED (PG 3)

(6) Measures of Center: Mean, Median, Mode “Resistant” – which ones of these 3 are and which ones aren’tAppropriate 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”)

x

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(8) Range, Q1, Q3, IQR, 5-number summary of a data set or a sampleRange >> the highest value in a data set minus the lowestIQR = Q3 minus Q15-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.

UNIT 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 > Q3 + 1.5(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

UNIT 1 VOCABULARY, CONTINUED (PG 5)

Moving to Chapter Two now…..

(12) Z-score (also called “standard score”) >

(13) The “68-95-99.7 Rule” * sometimes also called “the Empirical Rule”* found on page 5 (all) and page 6 (Activity 5-13) of your “Measures of Spread” packet

datavalue meanZ

sd

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(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