To determine the fastest and the most consistent runner from the given data, let's analyze the mean running times and the interquartile ranges from the table.
The table provides the following information:
| Runner | Mean Running Time (s) | Interquartile Range (s) |
|--------|------------------------|-------------------------|
| Alana | 6.2 | 1.1 |
| Lorena | 7.4 | 0.2 |
| Zarena | 6.9 | 0.8 |
First, we determine the fastest runner by comparing the mean running times:
- Alana's mean running time: 6.2 seconds
- Lorena's mean running time: 7.4 seconds
- Zarena's mean running time: 6.9 seconds
The smallest mean running time is 6.2 seconds, which belongs to Alana. Therefore, the fastest runner is Alana.
Next, we determine the most consistent runner by comparing the interquartile ranges:
- Alana's interquartile range: 1.1 seconds
- Lorena's interquartile range: 0.2 seconds
- Zarena's interquartile range: 0.8 seconds
The smallest interquartile range is 0.2 seconds, which belongs to Lorena. Therefore, the most consistent runner is Lorena.
Now let's complete the statements:
The fastest runner is Alana because she had the lowest mean running time.
The most consistent runner is Lorena because she had the smallest interquartile range.
