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?

Question

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’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.

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.

Answer 1

To determine who has a more consistent biking record, we can calculate the range of the distances biked by both Ron and Ara.

The range is calculated as follows: \[ \text{Range} = \text{Maximum value} - \text{Minimum value} \]

For Ara:

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

For Ron:

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

Now we can compare the ranges:

• Ara's range: 17
• Ron's range: 15

Since Ron's range (15) is lower than Ara's range (17), this indicates that Ron has a more consistent biking record.

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