Finite Math Examples

$2$ , $\sqrt{9}$ , $5$ , $- 1$ , $2$ , $5$

Step 1

Rewrite $9$ as $3^{2}$ .

$2, \sqrt{3^{2}}, 5, - 1, 2, 5$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$2, 3, 5, - 1, 2, 5$

Step 3

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

$\frac{2 + 3 + 5 - 1 + 2 + 5}{6}$

Step 4

Simplify the numerator.

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Step 4.1

Add $2$ and $3$ .

$\frac{5 + 5 - 1 + 2 + 5}{6}$

Step 4.2

Add $5$ and $5$ .

$\frac{10 - 1 + 2 + 5}{6}$

Step 4.3

Subtract $1$ from $10$ .

$\frac{9 + 2 + 5}{6}$

Step 4.4

Add $9$ and $2$ .

$\frac{11 + 5}{6}$

Step 4.5

Add $11$ and $5$ .

$\frac{16}{6}$

Step 5

Cancel the common factor of $16$ and $6$ .

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Step 5.1

Factor $2$ out of $16$ .

$\frac{2 (8)}{6}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot 8}{2 \cdot 3}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 8}{2 \cdot 3}$

Step 5.2.3

Rewrite the expression.

$\frac{8}{3}$

Step 6

Divide.

$2.\overline{6}$

Step 7

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$2.7$