Basic Math Examples

$35 % \cdot 31$

Step 1

Convert $35 %$ to a decimal.

$\overline{x} = 0.35 \cdot 31$

Step 2

Multiply $0.35$ by $31$ .

$\overline{x} = 10.85$

Step 3

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

$\overline{x} = \frac{10.85}{1}$

Step 4

Divide $10.85$ by $1$ .

$\overline{x} = 10.85$

Step 5

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.

$\overline{x} = 10.85$

Step 6

Set up the formula for variance. The variance of a set of values is a measure of the spread of its values.

$s^{2} = \sum_{i = 1}^{n} \frac{{(x_{i} - x_{a v g})}^{2}}{n - 1}$

Step 7

Set up the formula for variance for this set of numbers.

$s = \frac{{(10.85 - 10.85)}^{2}}{1 - 1}$

Step 8

Simplify the result.

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Step 8.1

Subtract $1$ from $1$ .

$s = \frac{{(10.85 - 10.85)}^{2}}{0}$

Step 8.2

The expression contains a division by $0$ . The expression is undefined.

$s = Undefined$

Undefined

Step 9

Approximate the result.

$s^{2} \approx N a N$