Pre-Algebra Examples

$21$ , $15$ , $22$ , $16$ , $24$ , $24$

Step 1

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

$\frac{21 + 15 + 22 + 16 + 24 + 24}{6}$

Step 2

Simplify the numerator.

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Step 2.1

Add $21$ and $15$ .

$\frac{36 + 22 + 16 + 24 + 24}{6}$

Step 2.2

Add $36$ and $22$ .

$\frac{58 + 16 + 24 + 24}{6}$

Step 2.3

Add $58$ and $16$ .

$\frac{74 + 24 + 24}{6}$

Step 2.4

Add $74$ and $24$ .

$\frac{98 + 24}{6}$

Step 2.5

Add $98$ and $24$ .

$\frac{122}{6}$

Step 3

Cancel the common factor of $122$ and $6$ .

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Step 3.1

Factor $2$ out of $122$ .

$\frac{2 (61)}{6}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot 61}{2 \cdot 3}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 61}{2 \cdot 3}$

Step 3.2.3

Rewrite the expression.

$\frac{61}{3}$

Step 4

Divide.

$20.\overline{3}$

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.

$20.3$