Typical Heart Rate 8Fa713
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. Here, 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 approximately 126
- Median is 134
- Mode is 137
Since 82 is an outlier (much lower than others), the mean is pulled down and may not represent the typical heart rate well.
The median (134) and mode (137) are closer to the majority of values.
7. **Conclusion:** The best representation of Hillary's typical heart rate after working out is **137 beats per minute** (the mode), as it reflects the most common heart rate recorded.
**Final answer:** 137 beats per minute