To determine the fastest and most consistent runner based on their recorded times, we will analyze the mean running times and the interquartile ranges provided in the table.
1. Step 1: Identify the Fastest Runner
- The fastest runner is the one with the lowest mean running time.
- From the table, the mean running times are:
- Alana: 6.2 seconds
- Lorena: 7.4 seconds
- Zarena: 6.9 seconds
- Among these times, the lowest mean running time is 6.2 seconds, which belongs to Alana.
2. Step 2: Identify the Reason for the Fastest Runner
- The reason why Alana is the fastest runner is because she had the lowest mean running time.
3. Step 3: Identify the Most Consistent Runner
- The most consistent runner is the one with the lowest interquartile range (IQR).
- From the table, the interquartile ranges are:
- Alana: 1.1 seconds
- Lorena: 0.2 seconds
- Zarena: 0.8 seconds
- Among these ranges, the lowest interquartile range is 0.2 seconds, which belongs to Lorena.
4. Step 4: Identify the Reason for the Most Consistent Runner
- The reason why Lorena is the most consistent runner is because she had the lowest interquartile range.
Therefore, the completed statements are:
- The fastest runner is Alana because she had the lowest mean running time.
- The most consistent runner is Lorena because she had the lowest interquartile range.
