Find the Mean 12 , 16 , 22 , 23 , 34 , 44 , 46 , 47 , 48 , 64 , 67 , 73 , 83 , 88 , 89

$12$ , $16$ , $22$ , $23$ , $34$ , $44$ , $46$ , $47$ , $48$ , $64$ , $67$ , $73$ , $83$ , $88$ , $89$

Step 1

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

$\frac{12 + 16 + 22 + 23 + 34 + 44 + 46 + 47 + 48 + 64 + 67 + 73 + 83 + 88 + 89}{15}$

Step 2

Simplify the numerator.

Add $12$ and $16$ .

$\frac{28 + 22 + 23 + 34 + 44 + 46 + 47 + 48 + 64 + 67 + 73 + 83 + 88 + 89}{15}$

Add $28$ and $22$ .

$\frac{50 + 23 + 34 + 44 + 46 + 47 + 48 + 64 + 67 + 73 + 83 + 88 + 89}{15}$

Add $50$ and $23$ .

$\frac{73 + 34 + 44 + 46 + 47 + 48 + 64 + 67 + 73 + 83 + 88 + 89}{15}$

Add $73$ and $34$ .

$\frac{107 + 44 + 46 + 47 + 48 + 64 + 67 + 73 + 83 + 88 + 89}{15}$

Add $107$ and $44$ .

$\frac{151 + 46 + 47 + 48 + 64 + 67 + 73 + 83 + 88 + 89}{15}$

Add $151$ and $46$ .

$\frac{197 + 47 + 48 + 64 + 67 + 73 + 83 + 88 + 89}{15}$

Add $197$ and $47$ .

$\frac{244 + 48 + 64 + 67 + 73 + 83 + 88 + 89}{15}$

Add $244$ and $48$ .

$\frac{292 + 64 + 67 + 73 + 83 + 88 + 89}{15}$

Add $292$ and $64$ .

$\frac{356 + 67 + 73 + 83 + 88 + 89}{15}$

Add $356$ and $67$ .

$\frac{423 + 73 + 83 + 88 + 89}{15}$

Add $423$ and $73$ .

$\frac{496 + 83 + 88 + 89}{15}$

Add $496$ and $83$ .

$\frac{579 + 88 + 89}{15}$

Add $579$ and $88$ .

$\frac{667 + 89}{15}$

Add $667$ and $89$ .

$\frac{756}{15}$

Step 3

Cancel the common factor of $756$ and $15$ .

Factor $3$ out of $756$ .

$\frac{3 (252)}{15}$

Cancel the common factors.

Factor $3$ out of $15$ .

$\frac{3 \cdot 252}{3 \cdot 5}$

Cancel the common factor.

$\frac{3 \cdot 252}{3 \cdot 5}$

Rewrite the expression.

$\frac{252}{5}$

Step 4

Divide.

$50.4$

Find the Mean 12 , 16 , 22 , 23 , 34 , 44 , 46 , 47 , 48 , 64 , 67 , 73 , 83 , 88 , 89

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