Find the Mean 2 , 500÷60

$2$ ,

$500 \div 60$

Step 1

Rewrite the division as a fraction.

$2, \frac{500}{60}$

Step 2

Cancel the common factor of

$500$ and

$60$ .

Factor

$20$ out of

$500$ .

$2, \frac{20 (25)}{60}$

Cancel the common factors.

Factor

$20$ out of

$60$ .

$2, \frac{20 \cdot 25}{20 \cdot 3}$

Cancel the common factor.

$2, \frac{20 \cdot 25}{20 \cdot 3}$

Rewrite the expression.

$2, \frac{25}{3}$

Step 3

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

$\frac{2 + \frac{25}{3}}{2}$

Step 4

Simplify the numerator.

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{2 \cdot \frac{3}{3} + \frac{25}{3}}{2}$

Combine

$2$ and

$\frac{3}{3}$ .

$\frac{\frac{2 \cdot 3}{3} + \frac{25}{3}}{2}$

Combine the numerators over the common denominator.

$\frac{\frac{2 \cdot 3 + 25}{3}}{2}$

Simplify the numerator.

Multiply

$2$ by

$3$ .

$\frac{\frac{6 + 25}{3}}{2}$

Add

$6$ and

$25$ .

$\frac{\frac{31}{3}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{31}{3} \cdot \frac{1}{2}$

Step 6

Multiply

$\frac{31}{3} \cdot \frac{1}{2}$ .

Multiply

$\frac{31}{3}$ by

$\frac{1}{2}$ .

$\frac{31}{3 \cdot 2}$

Multiply

$3$ by

$2$ .

$\frac{31}{6}$

Step 7

Divide.

$5.1\overline{6}$

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.

$5.2$

Find the Mean 2 , 500÷60

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