Basic Statistical Vocabulary Graphical Displays Algebra Review

Frequently Used Formulas Calculator Commands (TI-84)

Basic Statistical Vocabulary Graphical Displays Algebra Review Formulas Used Throughout the Course Calculator Commands (TI-84) AP Statistics Exam Information

©2016 Pamela Hrabal

Vocabulary

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5-Number Summary

68-95-99.7 Rule

Area Principle

Bar Chart

Boxplot

Case

Categorical Variable

Center

Conditional Distribution

Context

Contingency Table

CUSS

Data

Data Table

Distribution

Dot plot

Emperical Rule

Fence - Inner

Fence - Outer

Frequency Table

Histogram

Independence

Interquartile Range

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Marginal Distribution

Mean

Median

Mode

Normal Model

Outliers

Parameter

Percentile

Pie Chart

P-Value

Quantitative Variable

Quartile

Range

Relative Frequency Table

Rescaling

Shape

Shifting

Simpson's Paradox

Skewed

Spread

Standard Deviation

Standard Normal Model

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Standardized Value

Standardizing

Statistic

Stem-and-Leaf Plot

Symmetric

Tails

Timeplot

Uniform

Unimodal

Unit

Variable

Variance

Z-Score

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Graphical Displays

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Graphical Displays 1. Find the descriptive statistics and create a box plot using the given data 1, 1, 2, 3, 4, 5, 7, 8, 9, 9, 12 a. Minimum = __________ b. Quartile 1 = __________ c. Median = __________ d. Quartile 3 = __________ e. Maximum = __________ f. Mean = __________ g. Interquartile Range = __________ h. Lower Inner Fence = __________ i. Upper Inner Fence = __________

Box Plot

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Graphical Displays 2. Create a Bar Chart and Dot Plot to organize the following data. A statistics class took a survey of 100 people about favorite automobile maker. The results came back that 30 favored Ford, 25 favored Chevy, 13 favored Nissan, 12 favored Toyota, and the rest favored “other”.

Bar Chart

Dot Plot

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Graphical Displays 3. Below are test scores for 20 AP Statistics students. Display this data in a histogram and stem and leaf plot. 60 75 65 60 60 45 85 45 70 75 75 85 45 55 90 80 85 70 30 80

Histogram

Stem-and-Leaf

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Algebra Review Solve for the missing variable

−1.75 =𝑥 − 16.2

0.114

𝑧 =16 − 16.3

0.2

1.8 =14 − 14.4

𝜎

Solve for each variable

𝑧 =𝑥 − 𝜇

𝜎

𝑥 = 𝜇 = 𝜎 =

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Algebra Review Solve for n

𝑆𝐷 𝑝 =𝑝𝑞

𝑛

. 03 = 1.96.36 (.64)

𝑛

𝑡 =𝑥 − 𝜇

𝑠𝑛

Simplify the equation

𝑡 =31.0 − 29.98

0.886

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Frequently Used Formulas Z-Statistic

1-Proportion z-interval 𝑝 ± 𝑧∗ 𝑝 𝑞

𝑛

1-Proportion z-test 𝑧 =

(𝑝 −𝜌)

𝜌𝑞

𝑛

2-Proportion z-interval 𝑝 1 − 𝑝 2 ± 𝑧∗ 𝑝 1𝑞 1

𝑛1+

𝑝 2𝑞 2

𝑛2

2-Proportion z-test 𝑧 =

𝑝 1−𝑝 2 −0

𝑆𝐸𝑝𝑜𝑜𝑙𝑒𝑑 𝑝 1−𝑝 2

𝑆𝐸𝑝𝑜𝑜𝑙𝑒𝑑 𝑝 1 − 𝑝 2 =𝑝 𝑝𝑜𝑜𝑙𝑒𝑑𝑞 𝑝𝑜𝑜𝑙𝑒𝑑

𝑛1+

𝑝 𝑝𝑜𝑜𝑙𝑒𝑑𝑞 𝑝𝑜𝑜𝑙𝑒𝑑

𝑛2

T-Statistic 1-Sample t-interval 𝑥 ± 𝑡𝑛−1

∗ 𝑠

𝑛

1-Sample t-test 𝑡𝑛−1 =

𝑥 −𝜇𝑠

𝑛

2-Sampe t-interval (𝑥 1 − 𝑥 2) ± 𝑡∗𝑠12

𝑛1+

𝑠22

𝑛2

2-Sample t-test 𝑡𝑛−1 =

𝑥 1−𝑥 2 −(𝜇1−𝜇2)

𝑠12

𝑛1+

𝑠22

𝑛2

Matched Pairs t-test 𝑡𝑛−1 =

𝑑 −𝜇𝑑𝑠𝑑𝑛

where d represents the difference between pairs of data

X 2 statistic

𝑂𝑏𝑠𝑒𝑟𝑣𝑒𝑑−𝐸𝑥𝑝𝑒𝑐𝑡𝑒𝑑 2

𝐸𝑥𝑝𝑒𝑐𝑡𝑒𝑑

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Common Calculator Commands 5-Number Summary STAT-EDIT-ENTER DATA STAT-CALC-1-Var Stats Box Plot STAT-EDIT-ENTER DATA 2ND-Y=-TURN PLOT ON TYPE: CHOOSE BOXPLOT W/DOTS CHOOSE Xlist ZOOM-9:ZoomStat Histogram STAT-EDIT-ENTER DATA 2nd-Y=-TURN PLOT ON TYPE: CHOOSE HISTOGRAM CHOOSE Xlist ZOOM-9:ZoomStat Diagnostics On 2nd-0-x-1 – DiagnosticOn-ENTER Statistics Tests 2nd – VARS STAT – CALC STAT - TESTS