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College Prep. Stats. Sections 3.1 – 3.3 Quiz Review Name: _____________________________________ 1. Which measures of center are resistant? 2. Which measures of spread are resistant? 3. Find the a) mean, b) median, c) mode, d) midrange, e) range, f) standard deviation, g) variance, and h) coefficient of variation for the following sample data: 24, 27, 28, 32, 24, 27, 24, 28, 28, 28, 32, 37, 34, 40, 41, 24, 28 a.) Mean: b.) Median: c.) Mode: d.) Midrange: e.) Range: f.) Standard Deviation: g.) Variance: h.) Coefficient of Variation: 4. The mean test score on a Biology test was 84 with a standard deviation of 3.5. Jeremy got a 77. How many standard deviations away from the mean is this? 5. For what types of data sets can you use Chebyshev’s Theorem? 6. Draw and label a picture that is skewed to the right. Is the tail on the right or left? 7. The scores of 40 students are summarized in the frequency distribution below. Find the mean score. Score 56 – 61 62 – 67 68 – 73 74 – 79 80 – 85 86 – 91 92 – 97 Students 13 7 9 2 4 4 1 8. What is the standard deviation of the frequency distribution above? 9. All of the speed limits in Illinois are between 20 mph and 70 mph (effective January 1, 2014). Use the range rule of thumb to estimate the standard deviation of those speed limits. 10. a) Draw a picture of the Empirical Rule. b) What percent of data fall within 2 standard deviations from the mean? 11. At one college, GPAs are normally distributed with a mean of 2.9 and a standard deviation of 0.6. What percent of students at the college have a GPA between 2.3 and 3.5? 12. The ages of the members of a gym have a mean of 48 years and a standard deviation of 11 years. Using Chebyshev’s theorem, what percent of members are within 2 standard deviations away from the mean? What are the maximum and minimum ages that are within 2 standard deviations of the mean?