Find the Mean 3.4 , 5.6 , 1.2 , 3.4 , 9.0 , 5.6 , 7.8

$3.4$ , $5.6$ , $1.2$ , $3.4$ , $9$ , $5.6$ , $7.8$

Step 1

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

$\frac{3.4 + 5.6 + 1.2 + 3.4 + 9 + 5.6 + 7.8}{7}$

Step 2

Simplify the numerator.

Add $3.4$ and $5.6$ .

$\frac{9 + 1.2 + 3.4 + 9 + 5.6 + 7.8}{7}$

Add $9$ and $1.2$ .

$\frac{10.2 + 3.4 + 9 + 5.6 + 7.8}{7}$

Add $10.2$ and $3.4$ .

$\frac{13.6 + 9 + 5.6 + 7.8}{7}$

Add $13.6$ and $9$ .

$\frac{22.6 + 5.6 + 7.8}{7}$

Add $22.6$ and $5.6$ .

$\frac{28.2 + 7.8}{7}$

Add $28.2$ and $7.8$ .

$\frac{36}{7}$

Step 3

Cancel the common factor of $36$ and $7$ .

Rewrite $36$ as $1 (36)$ .

$\frac{1 (36)}{7}$

Cancel the common factors.

Rewrite $7$ as $1 (7)$ .

$\frac{1 \cdot 36}{1 \cdot 7}$

Cancel the common factor.

$\frac{1 \cdot 36}{1 \cdot 7}$

Rewrite the expression.

$\frac{36}{7}$

Step 4

Divide.

$5.\overline{142857}$

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.

$5.14$

Find the Mean 3.4 , 5.6 , 1.2 , 3.4 , 9.0 , 5.6 , 7.8

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