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please answer 13-16

Use the cumulative relative frequency graph below to answer questions 12 - 13. The following cumulative relative frequency graph shows the ages of the athletes in the 2021 Olympic Games in Tokyo. Ages of Olympic Atheletes at 2021 Olympics 120 99.1 100 100 95.2 77.2 80 Cumulative Relative Frequency 60 10 28.3 20 22 29 36 43 50 Ages 12) What is the approximate IQR of this distribution? (A) 22 (B) 29 (C) 48.9 (D) 7 (E) 14 13) Simone Biles was 24 years old during the 2021 summer Olympics. Which of the following best describes her percentile rank? A) Simone is at the 40" percentile; she was older than 40% of the other USA Olympic athletes. (B) Simone is at the 40" percentile; she was younger than 40% of the other USA Olympic athletes. (C) Simone is at the 22nd percentile; she was older than 20% of the other USA Olympic athletes. (D) Simone is at the 220d percentile; she was younger than 20% of the other USA Olympic athletes. (E) You are not able to determine percentiles from a cumulative relative frequency graph.14) In a distribution, the median is 345 and the interquartile range is 30. Which of the following statements is true? (A) 50% of the data is less than 375. B) 50% of the data is between 315 and 375. (C) 75% of the data is above 345. (D) The mean is guaranteed to be between 315 and 375. (E) The maximum is guaranteed to be below 345 + 3 * 30 15) Women who attend University of Chicago (UIC) have a distribution of heights that are normally distributed with a mean of 65 inches and a standard deviation of 3.25 inches. What percentage of women are taller than 62 inches at the university? (A) 18% (B) 50% (C) 82% (D) 16% (E) 76% 16) Why is the IQR considered to be a resistant statistic? (A) Adding a new extreme observation has little effect on it. (B) Its equivalent to the distance from Q1 to the median, a resistant measure. (C) Adding an outlier changes the IQR dramatically. (D) It uses the mean in its calculation. (E) None of the above