Find the Mean 11 , 600÷52

$11$ ,

$600 \div 52$

Step 1

Rewrite the division as a fraction.

$11, \frac{600}{52}$

Step 2

Cancel the common factor of

$600$ and

$52$ .

Factor

$4$ out of

$600$ .

$11, \frac{4 (150)}{52}$

Cancel the common factors.

Factor

$4$ out of

$52$ .

$11, \frac{4 \cdot 150}{4 \cdot 13}$

Cancel the common factor.

$11, \frac{4 \cdot 150}{4 \cdot 13}$

Rewrite the expression.

$11, \frac{150}{13}$

Step 3

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

$\frac{11 + \frac{150}{13}}{2}$

Step 4

Simplify the numerator.

To write

$11$ as a fraction with a common denominator, multiply by

$\frac{13}{13}$ .

$\frac{11 \cdot \frac{13}{13} + \frac{150}{13}}{2}$

Combine

$11$ and

$\frac{13}{13}$ .

$\frac{\frac{11 \cdot 13}{13} + \frac{150}{13}}{2}$

Combine the numerators over the common denominator.

$\frac{\frac{11 \cdot 13 + 150}{13}}{2}$

Simplify the numerator.

Multiply

$11$ by

$13$ .

$\frac{\frac{143 + 150}{13}}{2}$

Add

$143$ and

$150$ .

$\frac{\frac{293}{13}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{293}{13} \cdot \frac{1}{2}$

Step 6

Multiply

$\frac{293}{13} \cdot \frac{1}{2}$ .

Multiply

$\frac{293}{13}$ by

$\frac{1}{2}$ .

$\frac{293}{13 \cdot 2}$

Multiply

$13$ by

$2$ .

$\frac{293}{26}$

Step 7

Divide.

$11.26923076$

Step 8

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.

$11.3$

Find the Mean 11 , 600÷52

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