Math Problem Statement
Solution
Let's analyze the heart rate data to complete the sentences.
1. Median Heart Rates for Men and Women
The median heart rate is the middle value when the heart rates are listed in order.
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Men's heart rates: 62, 68, 70, 72, 75, 78, 80, 86, 110
- Ordered list: 62, 68, 70, 72, 75, 78, 80, 86, 110
- The median (middle value) is 75.
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Women's heart rates: 64, 66, 68, 72, 76, 78, 80, 82
- Ordered list: 64, 66, 68, 72, 76, 78, 80, 82
- The median is 76.
So, the median heart rate for men is less than the median heart rate for women.
2. Effect of Removing the Outlier
The outlier in the men's heart rates is 110, which is much higher than the other values. Let's remove it and recalculate the median.
- Men's heart rates without the outlier: 62, 68, 70, 72, 75, 78, 80, 86
- Ordered list: 62, 68, 70, 72, 75, 78, 80, 86
- New median = 73.5 (average of 72 and 75).
For women, there doesn't appear to be a significant outlier, so their median remains 76.
Final Results:
- The median heart rate for the men is less than the median heart rate for the women.
- If the outlier were removed, the median heart rate for the men would decrease and the median heart rate for the women would stay the same.
Would you like further details, or have any questions?
Related Questions:
- How do you calculate the mean heart rate?
- What would be the mode of the men's and women's heart rates?
- How would removing a different value (e.g., 86) affect the men's median?
- What is the range of heart rates for men and women?
- How do you interpret the impact of outliers on data?
Tip: Always organize your data when calculating statistical measures like median, mean, or range.
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Math Problem Analysis
Mathematical Concepts
Statistics
Median
Outliers
Formulas
Median = middle value of ordered data set
Outlier effect on median: removing the extreme value
Theorems
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Suitable Grade Level
Grades 6-8
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