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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

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

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.

1 answer

To determine who has a more consistent biking record, we need to calculate the range of the distances each person biked. The range is the difference between the maximum and minimum distances recorded.

For Ara:

  • Distances: 39, 35, 49, 32, 45, 39, 33, 38, 40
  • Minimum: 32
  • Maximum: 49
  • Range: 49 - 32 = 17

For Ron:

  • Distances: 37, 46, 50, 49, 36, 38, 35, 39, 41
  • Minimum: 35
  • Maximum: 50
  • Range: 50 - 35 = 15

Comparison:

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

Since Ron has a lower range (15) compared to Ara's range (17), this indicates that Ron's distances are less spread out, suggesting a more consistent biking record.

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