Find the Sample Standard Deviation 10%*49.20

$10 % \cdot 49.2$

Step 1

Find the mean.

Convert $10 %$ to a decimal.

$\overline{x} = 0.1 \cdot 49.2$

Multiply $0.1$ by $49.2$ .

$\overline{x} = 4.92$

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

$\overline{x} = \frac{4.92}{1}$

Divide $4.92$ by $1$ .

$\overline{x} = 4.92$

Divide.

$\overline{x} = 4.92$

Step 2

Convert $4.92$ to a decimal value.

$4.92$

Step 3

Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.

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

Step 4

Set up the formula for standard deviation for this set of numbers.

$s = \sqrt{\frac{{(4.92 - 4.92)}^{2}}{1 - 1}}$

Step 5

Simplify the result.

Subtract $1$ from $1$ .

$s = \sqrt{\frac{{(4.92 - 4.92)}^{2}}{0}}$

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

$s = Undefined$

Undefined

Step 6

The standard deviation 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.

Undefined

Find the Sample Standard Deviation 10%*49.20

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