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1-4 MEASURES OF LOCATION AND DESCRIBING DISTRIBUTIONS PRE-ACTIVITY 1. A particular 50k trail ultra race had 136 finishers. A histogram and boxplot of the times (in hours) are shown below. Histogram of 50k Race Times Race Times in Hours OF - 30 Frequency 20 10 6 in 10 12 Time in Hours a. The population of interest is The sample is b. The cases are and the variable being recorded for each case is which is (circle one) categorical quantitative. c. In the histogram, the numbers on the x-axis represent and the numbers on the y-axis represent d. In the boxplot, the numbers on the y-axis represent , the "box" represents , the line in the middle of the box represents , and the circle at the top of the graph rep- resents e. Estimate the time that separates the slowest 10% of runners from the rest. Estimate the 25th percentile and the 10th percentile f. In 2017, a particular runner finished 124th out of 136 finishers in a 50k ultra trail run. Approximately what percentile is her time? Write a sentence that interprets your answer in context. g. Which is preferable-a time that is a high percentile or a low percentile? Explain. 28 Learning Through Practice: Statistical Reasoning