Find the Mean (Arithmetic) 74 , 79 , 82 , 73 , 90 , 81 , 88 , 91 , 76 , 92 , 89 , 72 , 78 , 87 , 84

$74$ , $79$ , $82$ , $73$ , $90$ , $81$ , $88$ , $91$ , $76$ , $92$ , $89$ , $72$ , $78$ , $87$ , $84$

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

$\frac{74 + 79 + 82 + 73 + 90 + 81 + 88 + 91 + 76 + 92 + 89 + 72 + 78 + 87 + 84}{15}$

Simplify the numerator.

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Add $74$ and $79$ .

$\frac{153 + 82 + 73 + 90 + 81 + 88 + 91 + 76 + 92 + 89 + 72 + 78 + 87 + 84}{15}$

Add $153$ and $82$ .

$\frac{235 + 73 + 90 + 81 + 88 + 91 + 76 + 92 + 89 + 72 + 78 + 87 + 84}{15}$

Add $235$ and $73$ .

$\frac{308 + 90 + 81 + 88 + 91 + 76 + 92 + 89 + 72 + 78 + 87 + 84}{15}$

Add $308$ and $90$ .

$\frac{398 + 81 + 88 + 91 + 76 + 92 + 89 + 72 + 78 + 87 + 84}{15}$

Add $398$ and $81$ .

$\frac{479 + 88 + 91 + 76 + 92 + 89 + 72 + 78 + 87 + 84}{15}$

Add $479$ and $88$ .

$\frac{567 + 91 + 76 + 92 + 89 + 72 + 78 + 87 + 84}{15}$

Add $567$ and $91$ .

$\frac{658 + 76 + 92 + 89 + 72 + 78 + 87 + 84}{15}$

Add $658$ and $76$ .

$\frac{734 + 92 + 89 + 72 + 78 + 87 + 84}{15}$

Add $734$ and $92$ .

$\frac{826 + 89 + 72 + 78 + 87 + 84}{15}$

Add $826$ and $89$ .

$\frac{915 + 72 + 78 + 87 + 84}{15}$

Add $915$ and $72$ .

$\frac{987 + 78 + 87 + 84}{15}$

Add $987$ and $78$ .

$\frac{1065 + 87 + 84}{15}$

Add $1065$ and $87$ .

$\frac{1152 + 84}{15}$

Add $1152$ and $84$ .

$\frac{1236}{15}$

Cancel the common factor of $1236$ and $15$ .

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Factor $3$ out of $1236$ .

$\frac{3 (412)}{15}$

Cancel the common factors.

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Factor $3$ out of $15$ .

$\frac{3 \cdot 412}{3 \cdot 5}$

Cancel the common factor.

$\frac{3 \cdot 412}{3 \cdot 5}$

Rewrite the expression.

$\frac{412}{5}$

Divide.

$82.4$

Find the Mean (Arithmetic) 74 , 79 , 82 , 73 , 90 , 81 , 88 , 91 , 76 , 92 , 89 , 72 , 78 , 87 , 84

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