The heart rates of eight high school students are listed in beats per minute:
72 75 81 76 76 77 79 78 
What would you say is the typical heart rate of the students?

To determine the "typical" heart rate of these students, we can look at measures of central tendency, such as the mean (average) and median. Here's how we can calculate each:

### **1. Mean (Average) Heart Rate**
The mean is the sum of all heart rates divided by the total number of students.

Given heart rates:  
72, 75, 81, 76, 76, 77, 79, 78

**Step 1: Add the heart rates:**  
\( 72 + 75 + 81 + 76 + 76 + 77 + 79 + 78 = 614 \) beats per minute

**Step 2: Divide by the number of students (8):**  
\( \frac{614}{8} = 76.75 \) beats per minute

**Mean Heart Rate:** 76.75 beats per minute

### **2. Median Heart Rate**
The median is the middle value in an ordered list. Since we have an even number of values (8), the median will be the average of the 4th and 5th values.

**Step 1: Arrange the heart rates in ascending order:**  
72, 75, 76, 76, 77, 78, 79, 81

**Step 2: Identify the middle values (4th and 5th):**  
The 4th value is 76, and the 5th value is 77.

**Step 3: Calculate the median:**  
\( \frac{76 + 77}{2} = 76.5 \) beats per minute

**Median Heart Rate:** 76.5 beats per minute

### **Conclusion:**
Both the mean and median are close in value (76.75 and 76.5, respectively). Therefore, the "typical" heart rate of these students can be said to be approximately **76.5 to 77 beats per minute**.

Would you like a detailed breakdown of any specific part, or do you have further questions?

### **5 Relative Questions:**
1. How would adding more data points (heart rates) affect the mean and median?
2. Which is a better measure of central tendency for this data set: the mean or the median? Why?
3. What is the mode of the heart rates in this set, and what does it indicate?
4. How do outliers affect the mean in a data set?
5. Can the typical heart rate be measured differently in cases of larger data sets?

**Tip:** In cases where the data has outliers or is skewed, the median is often a better measure of central tendency than the mean.

The heart rates of eight high school students are listed in beats per minute: 72, 75, 81, 76, 76, 77, 79, 78. What would you say is the typical heart rate of the students?

Learn how to calculate the typical heart rate of eight high school students using measures of central tendency, including the mean and median. This problem involves calculating the average heart rate of 76.75 beats per minute and the median heart rate of 76.5 beats per minute, ideal for students in Grades 6-8.

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