Find the Mean 4 , 3 , 13 , 11 , 3 , 6

$4$ ,

$3$ ,

$13$ ,

$11$ ,

$3$ ,

$6$

Step 1

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

$\frac{4 + 3 + 13 + 11 + 3 + 6}{6}$

Step 2

Simplify the numerator.

Add

$4$ and

$3$ .

$\frac{7 + 13 + 11 + 3 + 6}{6}$

Add

$7$ and

$13$ .

$\frac{20 + 11 + 3 + 6}{6}$

Add

$20$ and

$11$ .

$\frac{31 + 3 + 6}{6}$

Add

$31$ and

$3$ .

$\frac{34 + 6}{6}$

Add

$34$ and

$6$ .

$\frac{40}{6}$

Step 3

Cancel the common factor of

$40$ and

$6$ .

Factor

$2$ out of

$40$ .

$\frac{2 (20)}{6}$

Cancel the common factors.

Factor

$2$ out of

$6$ .

$\frac{2 \cdot 20}{2 \cdot 3}$

Cancel the common factor.

$\frac{2 \cdot 20}{2 \cdot 3}$

Rewrite the expression.

$\frac{20}{3}$

Step 4

Divide.

$6.\overline{6}$

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.

$6.7$

Find the Mean 4 , 3 , 13 , 11 , 3 , 6

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