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Topics List for the First Test The student should be able to: 1. define, recognize and compare: the population and a sample; a parameter and a statistics; 2. determine and compare simple random sample, convenience sample and self-selected sample (a.k.a. voluntary sample); 3. determine and compare the levels of a variable: ratio, interval, ordinal or nominal; 4. define and determine the type of variable: discrete or continuous; 5. define, determine and compare the mean, median, mode and midrange; 6. given a set of data, determine the range, standard deviation and variance; 7. know not to use the mean and median for nominal data; 8. 9. 10. 11. given a frequency distribution, find the mean, standard deviation and variance; be able to find and compare z-scores; be able to find percentiles and quartiles; use the Empirical Rule and recognize data as usual or unusual; 12. construct and answer questions about graphs, especially: histograms, boxplots, pie charts, dot plots, stem plots and bar charts; 13. recognize and discuss misleading graphs; 14. 15. 16. 17. 18. determine classical (theoretical) and empirical probabilities; calculate probabilities using tables of data; determine if two events are disjoint; apply the addition rule: P(A or B) = P(A) + P(B) – P(A and B); determine the complement of an event and its probability: P(Ā ) = 1 – P(A). Disclaimer: This is only a guide to possible exam topics. Your exam could include any topic discussed in class or on our homework! Note: if you want the final result accurate to three significant digits, keep at least five significant digits accuracy in the supporting calculations.