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Ron and Ara recorded the distances they covered while biking for 4 hours. The miles they biked on randomly selected days are as follows. Who has a more consistent biking record?

Ara: 39, 35, 49, 32, 45, 39, 33, 38, 40
Ron: 37, 46, 50, 49, 36, 38, 35, 39, 41

(1 point)
Responses

Ara’s record is more consistent, because the range of the miles he biked is lower than Ron’s.
Ara’s record is more consistent, because the range of the miles he biked is lower than Ron’s.

Ron and Ara have equally consistent biking records.
Ron and Ara have equally consistent biking records.

Ron’s record is more consistent, because the range of the miles he biked is higher than Ara’s.
Ron’s record is more consistent, because the range of the miles he biked is higher than Ara’s.

Ron’s record is more consistent, because the range of the miles he biked is lower than Ara’s.

1 answer

To determine which record is more consistent, we need to calculate the range of the miles biked for both Ara and Ron.

Ara's distances:

  • 39, 35, 49, 32, 45, 39, 33, 38, 40

Maximum distance for Ara = 49
Minimum distance for Ara = 32
Range for Ara = 49 - 32 = 17

Ron's distances:

  • 37, 46, 50, 49, 36, 38, 35, 39, 41

Maximum distance for Ron = 50
Minimum distance for Ron = 35
Range for Ron = 50 - 35 = 15

Now, we compare the ranges:

  • Ara’s range = 17
  • Ron’s range = 15

Since Ron's range (15) is lower than Ara's range (17), Ron's record is more consistent.

So the correct response is: Ron’s record is more consistent, because the range of the miles he biked is lower than Ara’s.