Find the Mean 2 , 16 , 128 , 1024

$2$ , $16$ , $128$ , $1024$

Step 1

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{2 + 16 + 128 + 1024}{4}$

Step 2

Cancel the common factor of $2 + 16 + 128 + 1024$ and $4$ .

Factor $2$ out of $2$ .

$\frac{2 (1) + 16 + 128 + 1024}{4}$

Factor $2$ out of $16$ .

$\frac{2 \cdot 1 + 2 \cdot 8 + 128 + 1024}{4}$

Factor $2$ out of $2 \cdot 1 + 2 \cdot 8$ .

$\frac{2 \cdot (1 + 8) + 128 + 1024}{4}$

Factor $2$ out of $128$ .

$\frac{2 \cdot (1 + 8) + 2 (64) + 1024}{4}$

Factor $2$ out of $2 \cdot (1 + 8) + 2 (64)$ .

$\frac{2 \cdot (1 + 8 + 64) + 1024}{4}$

Factor $2$ out of $1024$ .

$\frac{2 \cdot (1 + 8 + 64) + 2 (512)}{4}$

Factor $2$ out of $2 \cdot (1 + 8 + 64) + 2 (512)$ .

$\frac{2 \cdot (1 + 8 + 64 + 512)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$\frac{2 \cdot (1 + 8 + 64 + 512)}{2 (2)}$

Cancel the common factor.

$\frac{2 \cdot (1 + 8 + 64 + 512)}{2 \cdot 2}$

Rewrite the expression.

$\frac{1 + 8 + 64 + 512}{2}$

Step 3

Simplify the numerator.

Add $1$ and $8$ .

$\frac{9 + 64 + 512}{2}$

Add $9$ and $64$ .

$\frac{73 + 512}{2}$

Add $73$ and $512$ .

$\frac{585}{2}$

Step 4

Divide.

$292.5$