What is the median of the following 9 test grades?
95, 72, 81, 96, 62, 98, 82, 76, 82

Answer

To find the median of the given test grades, we will follow these steps:

### Step 1: List the test grades
The test grades provided are:
- 95, 72, 81, 96, 62, 98, 82, 76, 82

### Step 2: Arrange the grades in ascending order
We need to sort the grades from the lowest to the highest:
- 62, 72, 76, 81, 82, 82, 95, 96, 98

### Step 3: Determine the number of grades
Count the total number of grades:
- There are 9 grades.

### Step 4: Identify if the number of grades is odd or even
Since 9 is an odd number, we will use the formula for finding the median in a set of odd numbers.

### Step 5: Calculate the position of the median
The position of the median can be calculated using the formula:
\[ \text{Median Position} = \frac{n + 1}{2} \]
where \( n \) is the number of grades. Here, \( n = 9 \):
\[ \text{Median Position} = \frac{9 + 1}{2} = \frac{10}{2} = 5 \]

### Step 6: Find the median
The median is the value at the 5th position in the arranged list:
- The arranged list is: 62, 72, 76, 81, **82**, 82, 95, 96, 98
- The 5th term is 82.

### Conclusion
Thus, the median of the 9 test grades is **82**.

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