Basic Math Examples

$1$ , $900$ , $\frac{0}{1} \cdot \frac{1}{365} \cdot \frac{1}{24} \cdot \frac{1}{60}$

Step 1

Divide $0$ by $1$ .

$\overline{x} = 1, 900, 0 \cdot \frac{1}{365} \cdot \frac{1}{24} \cdot \frac{1}{60}$

Step 2

Multiply $0$ by $\frac{1}{365}$ .

$\overline{x} = 1, 900, 0 \cdot \frac{1}{24} \cdot \frac{1}{60}$

Step 3

Multiply $0$ by $\frac{1}{24}$ .

$\overline{x} = 1, 900, 0 \cdot \frac{1}{60}$

Step 4

Multiply $0$ by $\frac{1}{60}$ .

$\overline{x} = 1, 900, 0$

Step 5

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

$\overline{x} = \frac{1 + 900 + 0}{3}$

Step 6

Simplify the numerator.

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Step 6.1

Add $1 + 900$ and $0$ .

$\overline{x} = \frac{1 + 900}{3}$

Step 6.2

Add $1$ and $900$ .

$\overline{x} = \frac{901}{3}$

Step 7

Divide.

$\overline{x} = 300.\overline{3}$

Step 8

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.

$\overline{x} = 300.3$

Step 9

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 10

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

$s = \frac{{(1 - 300.3)}^{2} + {(900 - 300.3)}^{2} + {(0 - 300.3)}^{2}}{3 - 1}$

Step 11

Simplify the result.

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Step 11.1

Simplify the numerator.

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Step 11.1.1

Subtract $300.3$ from $1$ .

$s = \frac{{(- 299.3)}^{2} + {(900 - 300.3)}^{2} + {(0 - 300.3)}^{2}}{3 - 1}$

Step 11.1.2

Raise $- 299.3$ to the power of $2$ .

$s = \frac{89580.49 + {(900 - 300.3)}^{2} + {(0 - 300.3)}^{2}}{3 - 1}$

Step 11.1.3

Subtract $300.3$ from $900$ .

$s = \frac{89580.49 + {599.7}^{2} + {(0 - 300.3)}^{2}}{3 - 1}$

Step 11.1.4

Raise $599.7$ to the power of $2$ .

$s = \frac{89580.49 + 359640.09 + {(0 - 300.3)}^{2}}{3 - 1}$

Step 11.1.5

Subtract $300.3$ from $0$ .

$s = \frac{89580.49 + 359640.09 + {(- 300.3)}^{2}}{3 - 1}$

Step 11.1.6

Raise $- 300.3$ to the power of $2$ .

$s = \frac{89580.49 + 359640.09 + 90180.09}{3 - 1}$

Step 11.1.7

Add $89580.49$ and $359640.09$ .

$s = \frac{449220.58 + 90180.09}{3 - 1}$

Step 11.1.8

Add $449220.58$ and $90180.09$ .

$s = \frac{539400.67}{3 - 1}$

Step 11.2

Simplify the expression.

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Step 11.2.1

Subtract $1$ from $3$ .

$s = \frac{539400.67}{2}$

Step 11.2.2

Divide $539400.67$ by $2$ .

$s = 269700.335$

Step 12

Approximate the result.

$s^{2} \approx 269700.335$