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Name: __________________________ MDM 4U1 Data Management Exam Review Details Monday, January 26, 2015 8:10 – 10:40 (you may leave at 9:40) Room 209 Bring pencil, eraser, straight edge and scientific calculator Chapters 1-4 40 multiple choice and 8 open response questions (choice for each) Formula sheet and z-score table provided To prepare: Read through course notes and summaries Complete the Practice Problems in this package Review assignments and unit tests Practice problems Chapter 4 page 268 #2, 3, 5, 6, 7, 10, 11 p. 270 #2, 4-7 Chapter 1 page 68 #4, 9 page 71 #3 (median-median line), 4, 5, 9ace Chapter 2 page 136 #1ad, 2, 3, 4, 6 page 138 #2, 4 Chapter 3 page 199 #1, 2, 4-6 page 200 #2-5 Name: __________________________ Items to focus on Chapter 4 – Introduction to Probability Simulations, Experimental Probability Discrete random variable Fair game, trial Theoretical probability Venn diagram (sample space, event space, complementary events, simple event, compound event, probability of a complementary event) Intersection of sets (AND), union of sets (OR) Disjoint sets / Mutually exclusive events Additive principle for union of two sets (subtract overcounting) Additive principle for probabilities Conditional probability (keyword: given) Multiplication law for conditional probability Probability using tree diagrams and outcome tables Multiplicative principle for counting ordered pairs, triplets, etc. Independent and dependent events Multiplicative principle for probabilities of independent events Factorial notation (n!) Unique objects: Permutations (order matters) / Combinations (order doesn’t matter) Permutations when some objects are identical Unit 1 – The Power of Information Data, population, sample, census Frequency, frequency tables, class intervals Stem-and-leaf plot Bar graph versus histogram Circle graph, central angle Broken line graph Split-bar graphs, double bar graphs Scatter plots, independent versus dependent variables Line of best fit, trends, correlation (+ or -, strength) Median-median line Name: __________________________ Coefficient of determination, R2: Between 0 and 1; The % change in y due to change in x Correlation coefficient, R: Between -1 and +1; -1 is perfect negative correlation, +1 is a perfect positive correlation Residuals, Residual plot Misleading / misrepresented statistics Changing the scale Too small a sample Unit 2 – In Search of Good Data Variables Inference Cross-sectional vs. longitudinal studies Time series data Qualitative versus quantitative variables Discrete versus continuous data Types of sampling: simple random sampling, systematic random sampling, stratified random sampling, cluster random sampling, multi-stage random sampling, destructive sampling, convenience sampling Bias and how to avoid it Types of bias: sampling, non-response, household, response Chapter 3 – Tools for Analyzing Data Creating effective histograms Bin width Distributions (u-shaped, uniform, mound-shaped, left/right skewed) Measures of Central Tendency: Mean (regular, weighted, grouped), Median, Mode and when to use them Outliers Spread - Range, IQR, variance, standard deviation (for regular and grouped data) Normal Distribution (shape, mean and standard deviation, 68-95-99.7 rule) Standard normal distribution Z-Scores (% above / below, percentiles, ranges) Indices (BMI, slugging percentage, CPI) Moving averages