Find the Mean 52 , 896÷69

$52$ , $896 \div 69$

Step 1

Rewrite the division as a fraction.

$52, \frac{896}{69}$

Step 2

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

$\frac{52 + \frac{896}{69}}{2}$

Step 3

Cancel the common factor of $52 + \frac{896}{69}$ and $2$ .

Factor $2$ out of $52$ .

$\frac{2 \cdot 26 + \frac{896}{69}}{2}$

Factor $2$ out of $\frac{896}{69}$ .

$\frac{2 \cdot 26 + 2 (\frac{448}{69})}{2}$

Factor $2$ out of $2 \cdot 26 + 2 (\frac{448}{69})$ .

$\frac{2 \cdot (26 + \frac{448}{69})}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 \cdot (26 + \frac{448}{69})}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (26 + \frac{448}{69})}{2 \cdot 1}$

Rewrite the expression.

$\frac{26 + \frac{448}{69}}{1}$

Divide $26 + \frac{448}{69}$ by $1$ .

$26 + \frac{448}{69}$

Step 4

To write $26$ as a fraction with a common denominator, multiply by $\frac{69}{69}$ .

$26 \cdot \frac{69}{69} + \frac{448}{69}$

Step 5

Combine $26$ and $\frac{69}{69}$ .

$\frac{26 \cdot 69}{69} + \frac{448}{69}$

Step 6

Combine the numerators over the common denominator.

$\frac{26 \cdot 69 + 448}{69}$

Step 7

Simplify the numerator.

Multiply $26$ by $69$ .

$\frac{1794 + 448}{69}$

Add $1794$ and $448$ .

$\frac{2242}{69}$

Step 8

Divide.

$32.49275362$

Step 9

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.

$32.5$

Find the Mean 52 , 896÷69

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