As part of studying the relationship between mental and physical health, you obtain the following heart rates: 73 72 67 74 78 84 79 71 76 76 79 81 75 80 78 76 78

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To analyze the relationship between mental and physical health based on heart rates, you can start by calculating some descriptive statistics.

Step 1: Calculate the mean (average) of the heart rates:
To find the mean, add up all the heart rates and divide the sum by the total number of heart rates.

Mean = (73 + 72 + 67 + 74 + 78 + 84 + 79 + 71 + 76 + 76 + 79 + 81 + 75 + 80 + 78 + 76 + 78) / 17

Mean = 1343 / 17

Mean = 79

The mean heart rate is 79.

Step 2: Calculate the median of the heart rates:
To find the median, arrange the heart rates in ascending order and find the middle value. If there are two middle values, take their average.

Arranged heart rates: 67, 71, 72, 73, 74, 75, 76, 76, 78, 78, 78, 79, 79, 80, 81, 84

Median = (78 + 78) / 2

Median = 78

The median heart rate is 78.

Step 3: Calculate the mode of the heart rates:
The mode is the value that appears most frequently.

Mode = 78

The mode heart rate is 78.

Step 4: Calculate the range of the heart rates:
To find the range, subtract the minimum heart rate from the maximum heart rate.

Range = Max HR - Min HR

Range = 84 - 67

Range = 17

The range of heart rates is 17.

Using these descriptive statistics (mean, median, mode, and range), you can get a general idea of the heart rate data and its relationship to mental and physical health. However, it's important to note that heart rate alone may not provide a comprehensive understanding of the relationship between mental and physical health. Supplemental information and professional medical analysis may be necessary for a more accurate assessment.