Typical Heart Rate D9422B
1. **State the problem:** We need to find the best representation of Hillary's typical heart rate after working out given the data: 137, 138, 137, 134, 82, 131, and 125 beats per minute.
2. **Identify the measure of central tendency:** The typical heart rate can be represented by the mean (average), median, or mode. We will calculate each to determine the best representation.
3. **Calculate the mean:**
$$\text{Mean} = \frac{137 + 138 + 137 + 134 + 82 + 131 + 125}{7} = \frac{884}{7} = 126.29$$
4. **Calculate the median:**
Sort the data: 82, 125, 131, 134, 137, 137, 138
The median is the middle value (4th value): 134
5. **Calculate the mode:**
The most frequent value(s) are 137 (appears twice).
6. **Interpretation:**
- Mean is about 126
- Median is 134
- Mode is 137
Since 82 is an outlier (much lower than others), the mean is pulled down. The median or mode better represent the typical heart rate.
7. **Conclusion:**
Among the options, 134 (median) and 137 (mode) are good representations. The best choice is 137 beats per minute as it is the mode and close to the median.
**Final answer:** 137 beats per minute