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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
©2016 Pamela Hrabal
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
©2016 Pamela Hrabal
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
©2016 Pamela Hrabal
Graphical Displays
©2016 Pamela Hrabal
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
©2016 Pamela Hrabal
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
©2016 Pamela Hrabal
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
©2016 Pamela Hrabal
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 =
©2016 Pamela Hrabal
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
©2016 Pamela Hrabal
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
©2016 Pamela Hrabal
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