Sami takes six quizzes in science class. Her grades for the quizzes are $$ 86,92,79,96,80 $$, and 95 . What is the median grade? Show your work.

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UpStudy AI · Accepted Answer

To find the median grade of Sami's quiz scores, we need to follow these steps:

1. **List the grades**: The grades are $$ 86, 92, 79, 96, 80, 95 $$.

2. **Sort the grades in ascending order**: 
   - First, we arrange the grades from the lowest to the highest:
   - $$ 79, 80, 86, 92, 95, 96 $$

3. **Determine the number of grades**: 
   - There are 6 grades in total.

4. **Find the median**: 
   - Since there is an even number of grades (6), the median is the average of the two middle numbers. The two middle numbers in the sorted list are the 3rd and 4th grades:
   - The 3rd grade is $$ 86 $$ and the 4th grade is $$ 92 $$.

5. **Calculate the average of the two middle numbers**:
   $$
   \text{Median} = \frac{86 + 92}{2}
   $$

Now, let's calculate the median.

$$
\text{Median} = \frac{86 + 92}{2} = \frac{178}{2} = 89
$$

Thus, the median grade is $$ 89 $$.
The median grade is 89.

Sami takes six quizzes in science class. Her grades for the quizzes are \( 86,92,79,96,80 \), and 95 . What is the median grade? Show your work.

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