Find the Mean 11 , 7 , 14 , 2 , 8 , 13 , 3 , 6 , 10 , 3 , 8 , 4 , 8 , 4 , 7

$11$ , $7$ , $14$ , $2$ , $8$ , $13$ , $3$ , $6$ , $10$ , $3$ , $8$ , $4$ , $8$ , $4$ , $7$

Step 1

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

$\frac{11 + 7 + 14 + 2 + 8 + 13 + 3 + 6 + 10 + 3 + 8 + 4 + 8 + 4 + 7}{15}$

Step 2

Simplify the numerator.

Add $11$ and $7$ .

$\frac{18 + 14 + 2 + 8 + 13 + 3 + 6 + 10 + 3 + 8 + 4 + 8 + 4 + 7}{15}$

Add $18$ and $14$ .

$\frac{32 + 2 + 8 + 13 + 3 + 6 + 10 + 3 + 8 + 4 + 8 + 4 + 7}{15}$

Add $32$ and $2$ .

$\frac{34 + 8 + 13 + 3 + 6 + 10 + 3 + 8 + 4 + 8 + 4 + 7}{15}$

Add $34$ and $8$ .

$\frac{42 + 13 + 3 + 6 + 10 + 3 + 8 + 4 + 8 + 4 + 7}{15}$

Add $42$ and $13$ .

$\frac{55 + 3 + 6 + 10 + 3 + 8 + 4 + 8 + 4 + 7}{15}$

Add $55$ and $3$ .

$\frac{58 + 6 + 10 + 3 + 8 + 4 + 8 + 4 + 7}{15}$

Add $58$ and $6$ .

$\frac{64 + 10 + 3 + 8 + 4 + 8 + 4 + 7}{15}$

Add $64$ and $10$ .

$\frac{74 + 3 + 8 + 4 + 8 + 4 + 7}{15}$

Add $74$ and $3$ .

$\frac{77 + 8 + 4 + 8 + 4 + 7}{15}$

Add $77$ and $8$ .

$\frac{85 + 4 + 8 + 4 + 7}{15}$

Add $85$ and $4$ .

$\frac{89 + 8 + 4 + 7}{15}$

Add $89$ and $8$ .

$\frac{97 + 4 + 7}{15}$

Add $97$ and $4$ .

$\frac{101 + 7}{15}$

Add $101$ and $7$ .

$\frac{108}{15}$

Step 3

Cancel the common factor of $108$ and $15$ .

Factor $3$ out of $108$ .

$\frac{3 (36)}{15}$

Cancel the common factors.

Factor $3$ out of $15$ .

$\frac{3 \cdot 36}{3 \cdot 5}$

Cancel the common factor.

$\frac{3 \cdot 36}{3 \cdot 5}$

Rewrite the expression.

$\frac{36}{5}$

Step 4

Divide.

$7.2$

Find the Mean 11 , 7 , 14 , 2 , 8 , 13 , 3 , 6 , 10 , 3 , 8 , 4 , 8 , 4 , 7

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