Find the Mean 12.7 , 23.9 , 15.2 , 19.0 , 21.3 , 18.4 , 20.5

$12.7$ , $23.9$ , $15.2$ , $19$ , $21.3$ , $18.4$ , $20.5$

Step 1

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

$\frac{12.7 + 23.9 + 15.2 + 19 + 21.3 + 18.4 + 20.5}{7}$

Step 2

Simplify the numerator.

Add $12.7$ and $23.9$ .

$\frac{36.6 + 15.2 + 19 + 21.3 + 18.4 + 20.5}{7}$

Add $36.6$ and $15.2$ .

$\frac{51.8 + 19 + 21.3 + 18.4 + 20.5}{7}$

Add $51.8$ and $19$ .

$\frac{70.8 + 21.3 + 18.4 + 20.5}{7}$

Add $70.8$ and $21.3$ .

$\frac{92.1 + 18.4 + 20.5}{7}$

Add $92.1$ and $18.4$ .

$\frac{110.5 + 20.5}{7}$

Add $110.5$ and $20.5$ .

$\frac{131}{7}$

Step 3

Cancel the common factor of $131$ and $7$ .

Rewrite $131$ as $1 (131)$ .

$\frac{1 (131)}{7}$

Cancel the common factors.

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

$\frac{1 \cdot 131}{1 \cdot 7}$

Cancel the common factor.

$\frac{1 \cdot 131}{1 \cdot 7}$

Rewrite the expression.

$\frac{131}{7}$

Step 4

Divide.

$18.71428571$

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.

$18.71$

Find the Mean 12.7 , 23.9 , 15.2 , 19.0 , 21.3 , 18.4 , 20.5

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