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Use the sprinters' statistics in the table below to complete the following statement.

| Athlete | Median (seconds) | IQR |
|----------|------------------|------|
| Athlete A | 63 | 3 |
| Athlete B | 61 | 2 |
| Athlete C | 59 | 4 |

____ has the most consistency in her 400-meter race time because her IQR is the smallest.

Sagot :

GinnyAnswer
To determine which athlete has the most consistency in her 400-meter race time, we need to look at the Interquartile Range (IQR) for each athlete. The IQR is a measure of statistical dispersion and represents the range within which the middle 50% of the data points lie. A smaller IQR indicates less variability and greater consistency.

Here are the statistics for the athletes:
- Athlete A: Median = 63 seconds, IQR = 3 seconds
- Athlete B: Median = 61 seconds, IQR = 2 seconds
- Athlete C: Median = 59 seconds, IQR = 4 seconds

To find the athlete with the most consistency, we compare their IQR values:
- Athlete A has an IQR of 3 seconds.
- Athlete B has an IQR of 2 seconds.
- Athlete C has an IQR of 4 seconds.

Athlete B has the smallest IQR of 2 seconds, indicating she has the most consistent 400-meter race times.

So, to complete the statement:

"Athlete B has the most consistency in her 400-meter race time, because her IQR is the smallest."
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