AP Stats Chapter 1

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Two-way Table

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30 Terms

1

Two-way Table

Table summarizing relationship between 2 categorical variables

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2

Marginal Relative Frequency

Percentage/proportion of individuals with specific value for 1 categorical variable

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3

Joint Relative Frequency

Percentage/proportion of individuals with specific value for another categorical variable

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4

Conditional Relative Frequency

Percentage/proportion of individuals with specific value for one variable given another variable

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5

Conditional Distribution

Distribution of one variable given another variable

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6

Association

Relationship between variables where knowing one helps predict the other

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7

Individual

object described in a set of data (people, animals, things)

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8

Variable

attribute that can take different values for different individuals

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9

Categorical Variable

assigns labels that place each individual into a particular group, called a category

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10

Quantitative Variable

Data that is in numbers (counts, measurements)

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11

Distribution

tells us what values the variable takes and how often it takes those values

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12

Histogram

shows each interval of values as a bar

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13

Formula for low outliers

Low outliers < Q₁-1.5(IQR)

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14

Formula for high outliers

High outliers > Q₃ + 1.5(IQR)

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15

Mean: distribution of quantitative data is the avg of all individual data values

x-bar (x w/ a line above it)

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16

Resistance

A statistical measure is resistant if it isn’t sensitive to extreme values

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17

Range

distance between min & max value (max-min)

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18

Standard deviation

measures typical distance of values in a distribution from the mean

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19

S(subx) =

√ ∑ (x(subi) - x-bar) ² /n-1

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20

Quartile

divides ordered data into 4 groups having roughly the same # of values

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21

How to find quartiles

Arrange data values from smallest to largest & find the median

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22

Q₁

median of the data values that are to the left of the median in the ordered list

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23

Q₃

median of the data values that are to the right of the median in the ordered list

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24

IQR

distance between the 1st & 3rd quartiles of a distribution

Q₃-Q₁

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25

5 number summary

{ min, Q₁ , median, Q₃, max}

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26

Boxplot

visual representation of five-number summary

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27

Variance

value obtained before taking the square root in the standard deviation calculation

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28

What should you mention when asked to describe the distribution of a quantitative variable?

shape, center, variability, outliers

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29

Frequency table

shows number of individuals having each value

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30

Relative frequency table

show proportion or % of individuals having each value

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