Find the Mean 38 , 3÷2

$38$ ,

$3 \div 2$

Step 1

Rewrite the division as a fraction.

$38, \frac{3}{2}$

Step 2

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

$\frac{38 + \frac{3}{2}}{2}$

Step 3

Simplify the numerator.

To write

$38$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{38 \cdot \frac{2}{2} + \frac{3}{2}}{2}$

Combine

$38$ and

$\frac{2}{2}$ .

$\frac{\frac{38 \cdot 2}{2} + \frac{3}{2}}{2}$

Combine the numerators over the common denominator.

$\frac{\frac{38 \cdot 2 + 3}{2}}{2}$

Simplify the numerator.

Multiply

$38$ by

$2$ .

$\frac{\frac{76 + 3}{2}}{2}$

Add

$76$ and

$3$ .

$\frac{\frac{79}{2}}{2}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{79}{2} \cdot \frac{1}{2}$

Step 5

Multiply

$\frac{79}{2} \cdot \frac{1}{2}$ .

Multiply

$\frac{79}{2}$ by

$\frac{1}{2}$ .

$\frac{79}{2 \cdot 2}$

Multiply

$2$ by

$2$ .

$\frac{79}{4}$

Step 6

Divide.

$19.75$

Step 7

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.

$19.8$

Find the Mean 38 , 3÷2

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