Find the Median 10 , 0(2+5.5/2)^10

$10$ , $0 {(2 + \frac{5.5}{2})}^{10}$

Step 1

Arrange the terms in ascending order.

$0 {(2 + \frac{5.5}{2})}^{10}, 10$

Step 2

The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.

$\frac{0 {(2 + \frac{5.5}{2})}^{10} + 10}{2}$

Step 3

Reduce the expression by cancelling the common factors.

Remove parentheses.

$\frac{0 {(2 + \frac{5.5}{2})}^{10} + 10}{2}$

Cancel the common factor of $0 {(2 + \frac{5.5}{2})}^{10} + 10$ and $2$ .

Factor $2$ out of $0 {(2 + \frac{5.5}{2})}^{10}$ .

$\frac{2 (0 {(2 + \frac{5.5}{2})}^{10}) + 10}{2}$

Factor $2$ out of $10$ .

$\frac{2 (0 {(2 + \frac{5.5}{2})}^{10}) + 2 \cdot 5}{2}$

Factor $2$ out of $2 (0 {(2 + \frac{5.5}{2})}^{10}) + 2 (5)$ .

$\frac{2 (0 {(2 + \frac{5.5}{2})}^{10} + 5)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 (0 {(2 + \frac{5.5}{2})}^{10} + 5)}{2 (1)}$

Cancel the common factor.

$\frac{2 (0 {(2 + \frac{5.5}{2})}^{10} + 5)}{2 \cdot 1}$

Rewrite the expression.

$\frac{0 {(2 + \frac{5.5}{2})}^{10} + 5}{1}$

Divide $0 {(2 + \frac{5.5}{2})}^{10} + 5$ by $1$ .

$0 {(2 + \frac{5.5}{2})}^{10} + 5$

Step 4

Simplify each term.

Divide $5.5$ by $2$ .

$0 {(2 + 2.75)}^{10} + 5$

Add $2$ and $2.75$ .

$0 \cdot {4.75}^{10} + 5$

Raise $4.75$ to the power of $10$ .

$0 \cdot 5847040.42224979 + 5$

Multiply $0$ by $5847040.42224979$ .

$0 + 5$

Step 5

Add $0$ and $5$ .

$5$

Step 6

Convert the median $5$ to decimal.

$5$