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Jeopardy Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Final Jeopardy 1 - $100 •Name the W’s •Who, What, When, Where, Why, How 1 - $200 What are the 2 types of variables discussed in chapter 1? Categorical and quantitative 1 - $300 What is the difference between categorical and quantitative data? Categorical – categories.. Quantitative – can be measured in units 1 - $400 The class is given a survey asking for: gender, number of siblings, and number of states visited. What are the variables and what type of variable are they? Gender – Categorical….. Siblings – Quantitative …. States - Quantitative 1 - $500 Dr. Engle distributed a survey (on paper) to all advisory classes (grades 9-12) at Clear Lake High School to find out how students got to & from school (car, walk, bike, bus). What ‘w’ is missing? When 2 - $100 What graphs best display categorical data? Pie graph, bar graph, segmented bar graph 2 - $200 What is the difference between a frequency table and a relative frequency table? Relative frequency shows percent compared to the group, frequency shows count number 2 - $300 Find the marginal distribution of survival rate Alive – 711/2201 = 32.2% Dead – 1490/2201 = 67.7% 2 - $400 Find the conditional distribution of classes that survived. 1st – 203/711 = 28.55% 2nd – 118/711 = 16.6% 3rd – 178/711 = 25.03% Crew– 212/711 = 29.82% 2 - $500 What percent of the crew were survivors? 212/885 = 23.95% 3 - $100 What graphs best display quantitative data? Histogram, stem and leaf, dot plot, box and whisker 3 - $200 What 5 numbers are used in the box plot? 5 number summary – Min, Q1, Median, Q3, Max 3 - $300 What is the benefit of using stem and leaf over a histogram? Stem and leaf preserve the individual data values, histograms show ranges 3 - $400 What 4 things do we discuss when describing a distribution? Shape, unusual (outliers), center, spread 3 - $500 What would be the appropriate measure of center and spread for the following graph? Why? Median and IQR ; outliers present 4 - $100 What measure of center and spread will be effected by outliers? Mean and Standard deviation 4 - $200 Which boxplot has the higher median? What is it? Set A, 11 4 - $300 Which boxplot has a larger IQR? What is it? Set B, 6 4 - $400 How can we use calculations to see if there are any outliers? Q1 – 1.5(IQR) = Lower fence Q3 + 1.5(IQR) = Upper fence Anything outside of these fences = outlier 4 - $500 Does this set of data have any outliers? Min: 0 Q1: 9 Med: 13 No, all values fall between the fences Q3: 17 Max:28 5 - $100 What two things do we look for when deciding if we can use a normal model? Symmetric, unimodal, outliers 5 - $200 What % make up the rule for the normal model, and how many standard deviations away from the mean do you need to go for each? 68% – 1 st dev both directions 95% - 2 st dev away both directions 99.7% - 3 st dev away both directions 5 - $300 When given a normal model, find P ( z < 0.8 ) 0.788 or 78.8% 5 - $400 What is the z score of the 43rd percentile under the normal curve? Z = -.176 5 - $500 Test 1: mean = 87.5 s = 3 Test 2: mean = 91.0 s = 2.5 Joe made a 90 on test 1 and a 92 on test 2. Which test did he do “better” on? Give both z scores for proof. Test 1: z = .8 Test 2: z = .4 Joe was more successful than the class average by .8 standard deviations on test 1, so he did “better” on test 1. Final Jeopardy Given the normal model below, what z scores hold the middle 50% of the data? Hint: think IQR -0.67 < z < 0.67