MRS. PROFIO-MILLER'S MATH WEBSITE



ONE-VARIABLE STATISTICS CHEAT SHEET SHAPE Left-skewedRight-skewedSymmetric (Normal) OUTLIERS< Q1 – 1.5(IQR)> Q3 + 1.5(IQR)Outliers affect the “mean” more than “median” CENTERMean “average” (use for symmetric)Median “middle number” (use for skewed)Mode (happens the most) SPREADRange (max – min)IQR (Q3 – Q1)Standard DeviationTypes of Variables: Categorical and Quantitative (Remember: Quantitative can be averaged)Five-Number Summary: Minimum, Q1, Median, Q3, MaximumGraphs: Dotplots, Boxplots, HistogramsCALCULATOR44335703048054448859614824484182225IMPORTANT TIPS-Make sure to know how to calculate outliers (see above)-Make sure to know that mean means the center and that standard deviation is the spread-Make sure to know how to calculate the best-fit line and how to get to your TABLE (2nd GRAPH). See back pageTWO-VARIABLE STATISTICS CHEAT SHEETJoint Frequency: Entries in a two way tableMarginal Frequency: Total of rows or columns; represents totals of categoriesRelative Frequency: Two-Way table values converted to a decimal or percent; joint frequency divided by overall totalConditional Probability: compares joint frequency divided by a marginal frequency189646118916351970118300To apply a relative frequency to a larger total, multiply the decimal by the total.(Example: If there are 2000 people at the party, how many are women who like to dance? 2000 X 0.32 = 640)LINEAR REGRESSION AND THE CALCULATORSTAT Edit (put in table – x’s in L1 and y’s in L2))STAT CALC 4: LinReg (ax+b) and if you can remember VARS YVARS ENTER 3x3628883800662587481839Example: Best fit line: y = 815.42x + 3779.18 with a strong, positive correlationStatistics Practice Problems1.) The following data set displays the number of student absences from Sanibel High School for a two-week period. 100, 62, 212, 78, 161, x, 270, 94, 184, 3094993640458470The school calculates the average absences for the two-week period and determines the mean is 160 absences a day. The school has lost the data for day x and cannot remember how many students were absent on day x. How many students were absent on day x?2.) The table below shows the enrollment of preschool children at a local day care center. Using the best fit line, predict how many students there will be in 2010? Let x = 0 represent 1980.$25000$52000$28000$78000$38000$22000$32000$30000$320003.) The salaries of nine teachers in a local high school math department are listed in the table :i) If this data skewed left, skewed right, or symmetrical?ii.) Calculate the upper and lower boundary using the 1.5(IQR) Rule and state if there are any outliers.42164022479038468303067054.) 5.) Use the table below the answer the following questions: What percent of males are overweight? What is the probability of choosing a female who is underweight? Given that the person is male, what are the chances of him being underweight?626375210596.) 4460875162560I. What is the probability that Madison takes Route A or B?II.) ................
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