To calculate the mean of the grades, we need to follow these steps:
- Add all the grades together.
- Divide the sum by the number of grades.
Here are the grades: 46, 56, 64, 64, 72, 76, 77, 82, 94, 96, 99
Step 1: Add the grades together.
\[ 46 + 56 + 64 + 64 + 72 + 76 + 77 + 82 + 94 + 96 + 99 = 46 + 56 = 102 \] \[ 102 + 64 = 166 \] \[ 166 + 64 = 230 \] \[ 230 + 72 = 302 \] \[ 302 + 76 = 378 \] \[ 378 + 77 = 455 \] \[ 455 + 82 = 537 \] \[ 537 + 94 = 631 \] \[ 631 + 96 = 727 \] \[ 727 + 99 = 826 \]
The total sum of the grades is 826.
Step 2: Count the number of grades. There are 11 grades.
Step 3: Divide the sum by the number of grades.
\[ \text{Mean} = \frac{826}{11} \approx 75.09 \]
Rounding to the nearest whole number, the mean of the grades is 75.