1948 Olympics

Men's 100m Freestyle Swim Finals
Competitor Time
Wally Ris 57.3s
Alan Ford 57.8s
Géza Kádas 58.1s
Keith Carter 58.3s
Alex Jany 58.3s
Per-Olof Olsson 59.3s
Zoltán Szilárd 59.6s
Taha Youssef El-Gamal 1:00.5s
2012 Olympics

Men's 100m Freestyle Swim Finals
Competitor Time
Nathan Adrian 47.52s
James Magnussen 47.53s
Brent Hayden 47.80s
Yannick Agnel 47.84s
Sebastiaan Verschuren 47.88s
Cesar Cielo 47.92s
Hanser Garcia 48.04s
Nikita Lobintsev 48.44s
A. Calculate the median and interquartile range for each set of data. Make sure to label each measurement in your answer.

B. Make two inferences based on your results from part A. Use complete sentences in your answer.

For 1948 Men's :Interquartile range is 1.5, Median is 58.3

For 2012 Men's: Interquartile range is 0.315, Median is 47.86

You can infer that in 2012 the swimmers were better and it was more competitive as the interquartile range was lower and the median was also lower as well

Step-by-step explanation:

1948 Men's 100m

57.3, 57.8, 58.1, 58.3, 58.3, 59.3, 59.6,1:00.5

               ⬆                ⬆                 ⬆

         Low IQR      Median       High IQR

Low IQR is average of 57.8 and 58.1 = 57.95

High IQR  is average of 59.3 and 59.6 =  59.45

Median is average of 58.3 and 58.3 = 58.3

Interquartile range is High IQR- Low IQR

59.45 - 57.95=1.5

2012 Men's 100m

47.52, 47.53, 47.8, 47.84, 47.88, 47.92, 48.04, 48.44

                    ⬆                  ⬆                      ⬆

             Low IQR         Median          High IQR

Low IQR is average of 47.53 and 47.8 = 47.665

High IQR is average of 48.04 and 47.92 = 47.98

Median is average of 47.88 and 47.84 = 47.86

Interquartile range is High IQR-Low IQR

47.98-47.665=0.315

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