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Sagot :

Considering the given box plots, it is found that:

a) They had the same IQR.

b) Athlete A went on the shortest training ride.

c) Athlete B went on more rides longer than 35 miles.

d) Athlete B had a greater median distance.

What is a box plot?

It is a plot that focuses the interquartile range of the population, which is the difference between the third and the first quartile, but gives a five number summary of the population, composed by these following measures.

  • The smallest value.
  • The first quartile.
  • The median.
  • The third quartile.
  • The highest value.

Hence, for Athlete A, we have that:

  • The smallest value is 12.
  • The first quartile is 27.
  • The median is of 29.
  • The third quartile is 34.
  • The highest value is of 45.
  • IQR: 34 - 27 = 7.

For Athlete B, we have that:

  • The smallest value is 18.
  • The first quartile is 32.
  • The median is of 37.
  • The third quartile is 39.
  • The highest value is of 41.
  • IQR: 39 - 32 = 7.

Hence:

a) They had the same IQR.

b) Athlete A went on the shortest training ride.

c) Athlete B went on more rides longer than 35 miles(as it is less than his median).

d) Athlete B had a greater median distance.

More can be learned about box plots at brainly.com/question/27721471

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