16 , 314

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

16+3142

To write 16 as a fraction with a common denominator, multiply by 77.

16⋅77+3142

To write 314 as a fraction with a common denominator, multiply by 33.

16⋅77+314⋅332

Write each expression with a common denominator of 42, by multiplying each by an appropriate factor of 1.

Multiply 16 and 77.

76⋅7+314⋅332

Multiply 6 by 7.

742+314⋅332

Multiply 314 and 33.

742+3⋅314⋅32

Multiply 14 by 3.

742+3⋅3422

742+3⋅3422

Combine the numerators over the common denominator.

7+3⋅3422

Simplify the numerator.

Multiply 3 by 3.

7+9422

Add 7 and 9.

16422

16422

Cancel the common factor of 16 and 42.

Factor 2 out of 16.

2(8)422

Cancel the common factors.

Factor 2 out of 42.

2⋅82⋅212

Cancel the common factor.

2⋅82⋅212

Rewrite the expression.

8212

8212

8212

8212

Multiply the numerator by the reciprocal of the denominator.

821⋅12

Factor 2 out of 8.

2(4)21⋅12

Cancel the common factor.

2⋅421⋅12

Rewrite the expression.

421

421

Divide.

0.190476‾

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.

0.2

Find the Mean (Arithmetic) 1/6 , 3/14