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

$74$ ,

$79$ ,

$82$ ,

$73$ ,

$90$ ,

$81$ ,

$88$ ,

$91$ ,

$76$ ,

$92$ ,

$89$ ,

$72$ ,

$78$ ,

$87$ ,

$84$

Step 1

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

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

Step 2

Simplify the numerator.

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

$84$ .

$\frac{1236}{15}$

Step 3

Cancel the common factor of

$1236$ and

$15$ .

Factor

$3$ out of

$1236$ .

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

Cancel the common factors.

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.

$\frac{412}{5}$

Step 4

Divide.

$82.4$

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

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