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Basic Statistical Vocabulary Graphical Displays Algebra Review Frequently Used Formulas Calculator Commands (TI-84) ©2016 Pamela Hrabal Vocabulary 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 ©2016 Pamela Hrabal 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 βotherβ. 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 π₯ β 16.2 β1.75 = 0.114 16 β 16.3 π§= 0.2 1.8 = 14 β 14.4 π Solve for each variable π₯βπ π§= π π₯= π= π= ©2016 Pamela Hrabal Algebra Review Solve for n ππ· π = . 03 = 1.96 ππ π .36 (.64) π π₯βπ π‘= π π Simplify the equation 31.0 β 29.98 π‘= 0.886 ©2016 Pamela Hrabal Frequently Used Formulas Z-Statistic ππ π 1-Proportion z-interval π ± π§β 1-Proportion z-test π§= 2-Proportion z-interval π1 β π2 ± π§ β 2-Proportion z-test π§= (πβπ) ππ π π1 π1 π1 + π2 π2 π2 π1 βπ2 β0 ππΈππππππ π1 βπ2 πππππππ πππππππ ππΈππππππ π1 β π2 = π1 + πππππππ πππππππ π2 T-Statistic 1-Sample t-interval β π₯ ± π‘πβ1 1-Sample t-test π‘πβ1 = π π π₯βπ π π 2-Sampe t-interval (π₯1 β π₯2 ) ± π‘ 2-Sample t-test π‘πβ1 = Matched Pairs t-test π‘πβ1 = β π 12 π1 + π 22 π2 π₯1 βπ₯2 β(π1 βπ2 ) 2 π 2 1 + π 2 π1 π2 π βππ π π π where d represents the difference between pairs of data X 2 statistic πππ πππ£ππβπΈπ₯ππππ‘ππ 2 πΈπ₯ππππ‘ππ ©2016 Pamela Hrabal Common Calculator Commands 5-Number Summary STAT-EDIT-ENTER DATA STAT-CALC-1-Var Stats Box Plot Histogram STAT-EDIT-ENTER DATA 2ND-Y=-TURN PLOT ON TYPE: CHOOSE BOXPLOT W/DOTS CHOOSE Xlist ZOOM-9:ZoomStat STAT-EDIT-ENTER DATA 2nd-Y=-TURN PLOT ON TYPE: CHOOSE HISTOGRAM CHOOSE Xlist ZOOM-9:ZoomStat Diagnostics On 2nd-0-x-1 β DiagnosticOn-ENTER Statistics Tests 2nd β VARS STAT β CALC STAT - TESTS ©2016 Pamela Hrabal