Questions 25 and 26 a. Find the 40th percentile. b. Find the 78th percentile Lis
ID: 3221919 • Letter: Q
Question
Questions 25 and 26 a. Find the 40th percentile. b. Find the 78th percentile Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. 18: 18; 21: 22: 25: 26: 27: 29: 30; 31:31; 33; 36; 37; 37; 41; 42; 47; 52, 55:57:58; 62; 64; 67:69, 71:72 73:74, 76; 77 a. Find the percentile of 37. b. Find the percentile of 72. Jesse was ranked 37th in his graduating class of 180 students. At what percentile is Jesse's ranking? a. For runners in a race, a low time means a faster run. The winners in a race have the shortest running times. Is it more desirable to have a finish time with a high or a low percentile when running a race? b. The 20th percentile of run times in a particular race is 5.2 minutes. Write a sentence interpreting the 20th percentile in the context of the situation. c. A bicyclist in the 90th percentile of a bicycle race completed the race in 1 hour and 12 minutes. Is he among the fastest or slowest cyclists in the race? Write a sentence interpreting the 90th percentile in the context of the situation. a. For runners in a race, a higher speed means a faster run. Is more desirable to have a speed with a high or a low it percentile when running a race? b. The 40^th percentile of speeds in a particular race is 7.5 miles per hour. Write a sentence interpreting the 40^th percentile in the context of the situation.
Explanation / Answer
25. Percentile means the percentage of observation below the given score when arranged ina descending order.
So for Jesse's ranking percentile will be = (No. of candidates below him)*100/180 = (180-37)*100/180 = 79.44
26. A) In this case low percentile will be more desirable since it will signify that only that proportion of all racers is ahead of you in the race.
b) The person who finished race in 5.2 minutes was behind only 20% of all the racers or we can say he was ahead of 80% of all the racers.
c)In this case cyclist is among the slowest in race.
90th percentile in this context means that 90% of all the cyclists finihed the race in lesser time than taken by him.
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