Chapter 1-3 Test Review

Chapter 1-3 Test Review - Chapters 1,2 and partial 3 Review...

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Chapters 1,2, and partial 3 Review 1. Define statistics: the Art & Science of learning from Data 2. Say our class has 25 students. We gathered data and put them on 3x5 cards. Then during a lecture, I use 10 of the cards to estimate the average height of the class. Identify a. The population (the class of 25 students) b. The sample (the 10 students) c. The variable (student height) d. The subjects (the students) e. The proportion of the population sampled (10/25 = 0.4) f. The parameter (the average height of the class) g. The statistic (the average height of the sample of 10 students) h. The inference (that the sample height was an estimate of the class height).
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Chapters 1,2, and partial 3 Review 3. When methods are used for summarizing data, this is called _descriptive statistics________________________. 4. What data type is used with a Pareto chart? ____categorical_____________ 5. A professor’s statistics classes get the following grades (where an A is a 4): Grade # of students A 75 B 35 C 15 D 11 F 1 (For data precision, use our rule of thumb) i. What is the average grade of the students? ____3.2_______________ ii. What is the typical deviation from the mean for a student? ____1.0________ iii. What is the technical term for this typical deviation? ___standard deviation______________ 6. Label the diagram as indicated.
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Chapters 1,2, and partial 3 Review Answers: Symmetric, mean=median ; right, median, mean ; left, mean, median 7. What is the empirical rule? If a distribution of data is bell-shaped, then approximately a. 68% of the data will lie within 1 standard deviation of the mean b. 95% of the data will lie within 2 standard deviationsof the mean c. 99.7% of the data will lie within 3 standard deviations of the mean 8. What is the 5 number summary? For a data set, it consists of the minimum, first quartile (Q1), median (second quartile, Q2), third quartile (Q3), and maximum values of the data set. 9. Define a. Range Max data value – Min data value b. Interquartile Range (IQR): Q3 – Q1 10. Regarding s (sample standard deviation): a. If s = 0, what does this imply? All values are equal
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Chapters 1,2, and partial 3 Review b. Is s influenced by outliers (Explain)? Yes, outliers have large deviations, and huge squared deviations, which contributes to influencing s.
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