Find the sum of the mean and the median of the given set:

$\{2^0,2^1,2^2,2^3,2^4,2^5\}$

Express your answer as a mixed number.

Let's start by listing the set of numbers given:

\[
\{2^0, 2^1, 2^2, 2^3, 2^4, 2^5\}
\]

Calculating each power of 2:

\[
\{1, 2, 4, 8, 16, 32\}
\]

### Step 1: Find the Mean
The mean is calculated by summing all the elements in the set and then dividing by the number of elements.

First, calculate the sum:

\[
1 + 2 + 4 + 8 + 16 + 32 = 63
\]

There are 6 elements in the set, so the mean is:

\[
\text{Mean} = \frac{63}{6} = 10.5
\]

### Step 2: Find the Median
Since the set has an even number of elements (6 elements), the median is the average of the 3rd and 4th terms.

The 3rd term is 4 and the 4th term is 8. So, the median is:

\[
\text{Median} = \frac{4 + 8}{2} = \frac{12}{2} = 6
\]

### Step 3: Sum of the Mean and Median
Now, add the mean and the median:

\[
10.5 + 6 = 16.5
\]

Expressed as a mixed number, $ 16.5 $ is:

\[
16 \frac{1}{2}
\]

Thus, the sum of

Learn how to find the sum of the mean and median for the set {1, 2, 4, 8, 16, 32} with a detailed step-by-step solution. This problem covers key concepts of exponents, mean calculation, and median determination. Suitable for students in Grades 6-8.

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