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.

To find the sum of the mean and the median of the set $\{2^0, 2^1, 2^2, 2^3, 2^4, 2^5\}$, we first need to calculate the mean and the median of the set.

### Step 1: Calculating the Mean

The mean is the average of all the elements in the set. The elements are:

\[
2^0 = 1, \quad 2^1 = 2, \quad 2^2 = 4, \quad 2^3 = 8, \quad 2^4 = 16, \quad 2^5 = 32
\]

First, find the sum of all these elements:

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

Calculating this step-by-step:

\[
1 + 2 = 3
\]
\[
3 + 4 = 7
\]
\[
7 + 8 = 15
\]
\[
15 + 16 = 31
\]
\[
31 + 32 = 63
\]

So, the sum of all elements

Learn how to find the sum of the mean and the median of the set {2^0, 2^1, 2^2, 2^3, 2^4, 2^5} with a detailed step-by-step solution. This problem involves calculating the arithmetic mean and median of a set of powers of 2. Suitable for students in Grades 6-8.

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