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Typical Heart Rate D9422B

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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