Basic Math Examples

$9.3$ , $4.1$ , $7.1$ , $6.6$ , $3.4$ , $2.7$ , $7.3$ , $5.9$ , $7.1$ , $4.6$ , $1.9$

Step 1

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

$\frac{9.3 + 4.1 + 7.1 + 6.6 + 3.4 + 2.7 + 7.3 + 5.9 + 7.1 + 4.6 + 1.9}{11}$

Step 2

Simplify the numerator.

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Step 2.1

Add $9.3$ and $4.1$ .

$\frac{13.4 + 7.1 + 6.6 + 3.4 + 2.7 + 7.3 + 5.9 + 7.1 + 4.6 + 1.9}{11}$

Step 2.2

Add $13.4$ and $7.1$ .

$\frac{20.5 + 6.6 + 3.4 + 2.7 + 7.3 + 5.9 + 7.1 + 4.6 + 1.9}{11}$

Step 2.3

Add $20.5$ and $6.6$ .

$\frac{27.1 + 3.4 + 2.7 + 7.3 + 5.9 + 7.1 + 4.6 + 1.9}{11}$

Step 2.4

Add $27.1$ and $3.4$ .

$\frac{30.5 + 2.7 + 7.3 + 5.9 + 7.1 + 4.6 + 1.9}{11}$

Step 2.5

Add $30.5$ and $2.7$ .

$\frac{33.2 + 7.3 + 5.9 + 7.1 + 4.6 + 1.9}{11}$

Step 2.6

Add $33.2$ and $7.3$ .

$\frac{40.5 + 5.9 + 7.1 + 4.6 + 1.9}{11}$

Step 2.7

Add $40.5$ and $5.9$ .

$\frac{46.4 + 7.1 + 4.6 + 1.9}{11}$

Step 2.8

Add $46.4$ and $7.1$ .

$\frac{53.5 + 4.6 + 1.9}{11}$

Step 2.9

Add $53.5$ and $4.6$ .

$\frac{58.1 + 1.9}{11}$

Step 2.10

Add $58.1$ and $1.9$ .

$\frac{60}{11}$

Step 3

Cancel the common factor of $60$ and $11$ .

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Step 3.1

Rewrite $60$ as $1 (60)$ .

$\frac{1 (60)}{11}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Rewrite $11$ as $1 (11)$ .

$\frac{1 \cdot 60}{1 \cdot 11}$

Step 3.2.2

Cancel the common factor.

$\frac{1 \cdot 60}{1 \cdot 11}$

Step 3.2.3

Rewrite the expression.

$\frac{60}{11}$

Step 4

Divide.

$5.\overline{45}$

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.

$5.45$