Calculate the mean and median of the following grade point averages. $$ \begin{array}{llllll}3.1 & 2.8 & 2.2 & 3.7 & 2.1 & 3.7\end{array} $$ Mean $$ =\square $$ (Round to two decimal places as needed.) Median $$ =\square $$ (Round to two decimal places as needed.)

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To calculate the mean and median of the given grade point averages (GPAs), we will follow these steps:

### Given GPAs:
$$ 3.1, 2.8, 2.2, 3.7, 2.1, 3.7 $$

### Step 1: Calculate the Mean
The mean is calculated by summing all the values and dividing by the number of values.

1. **Sum the GPAs:**
   $$
   3.1 + 2.8 + 2.2 + 3.7 + 2.1 + 3.7 = 17.6
   $$

2. **Count the number of GPAs:**
   There are 6 GPAs.

3. **Calculate the mean:**
   $$
   \text{Mean} = \frac{\text{Sum of GPAs}}{\text{Number of GPAs}} = \frac{17.6}{6} \approx 2.9333
   $$
   Rounding to two decimal places:
   $$
   \text{Mean} \approx 2.93
   $$

### Step 2: Calculate the Median
The median is the middle value when the numbers are arranged in order. If there is an even number of observations, the median is the average of the two middle numbers.

1. **Arrange the GPAs in ascending order:**
   $$
   2.1, 2.2, 2.8, 3.1, 3.7, 3.7
   $$

2. **Find the middle values:**
   Since there are 6 values (even number), the median will be the average of the 3rd and 4th values.
   - 3rd value: $$ 2.8 $$
   - 4th value: $$ 3.1 $$

3. **Calculate the median:**
   $$
   \text{Median} = \frac{2.8 + 3.1}{2} = \frac{5.9}{2} = 2.95
   $$

### Final Results:
- Mean $$ = 2.93 $$
- Median $$ = 2.95 $$

Thus, the answers are:
- Mean $$ = 2.93 $$
- Median $$ = 2.95 $$
Mean $$ = 2.93 $$ Median $$ = 2.95 $$

Calculate the mean and median of the following grade point averages. \( \begin{array}{llllll}3.1 & 2.8 & 2.2 & 3.7 & 2.1 & 3.7\end{array} \) Mean \( =\square \) (Round to two decimal places as needed.) Median \( =\square \) (Round to two decimal places as needed.)

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