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