Summ Stats - Practice Problems for Summary Statistics 1 The...

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Practice Problems for Summary Statistics © 2010 Radha Bose FSU Department of Statistics 1 1. The boxplot below shows the distribution of ages (in years) of the persons belonging to an extended family. (a) What is the median age? (b) Would the mean age be less than, greater than, or approximately the same as the median age? (c) What is the range of ages? (d) What is the five-number summary of the distribution? (e) What is the interquartile range of ages? (f) What percent of family members are between 55 and 90 years old? (g) What percent of family members are between 19 and 79 years old? 2. The histogram of a certain distribution is shown below. Which measures of center and spread would be most appropriate and why? Choose ONE answer. (A) Median and IQR because the distribution is fairly symmetric. (B) Mean and standard deviation because the distribution is fairly symmetric. (C) Median and IQR because the distribution is skewed. (D) Mean and standard deviation because the distribution is skewed. 3. 24-month-old boys have mean weight 28 lbs with standard deviation 2.8 lbs. 24-month-old girls have mean weight 27 lbs with standard deviation 2.3 lbs. (Figures are approximate.) Ramon is a 24-month-old boy who weighs 26 lbs and Erika is a 24-month-old girl who weighs 29 lbs. Whose weight is closer to the mean weight for their gender? State RAMON or ERIKA, show calculations that support your answer, and write a very brief explanation of why your calculation results led you to arrive at your answer.
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Practice Problems for Summary Statistics © 2010 Radha Bose FSU Department of Statistics 2 4. The boxplot below shows the distribution of the total time that undergraduate students spent in a campus library one semester. There is an outlier at 10 hours. . 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 Total time spent in library one semester (hours) (i) The median time is _____ the mean time. (A) less than (B) greater than (C) approx equal to (D) We cannot tell just by looking at the boxplot. (ii) The percentage of times that are between 90 and 130 is _____ the percentage of times that are between 130 and 140. (A) less than (B) greater than (C) equal to (D) We cannot tell just by looking at the boxplot.
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