38 , 14 , 516 , 764

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

38+14+516+7644

To write 14 as a fraction with a common denominator, multiply by 22.

38+14⋅22+516+7644

Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.

Multiply 14 and 22.

38+24⋅2+516+7644

Multiply 4 by 2.

38+28+516+7644

38+28+516+7644

Combine the numerators over the common denominator.

3+28+516+7644

Add 3 and 2.

58+516+7644

To write 58 as a fraction with a common denominator, multiply by 22.

58⋅22+516+7644

Write each expression with a common denominator of 16, by multiplying each by an appropriate factor of 1.

Multiply 58 and 22.

5⋅28⋅2+516+7644

Multiply 8 by 2.

5⋅216+516+7644

5⋅216+516+7644

Combine the numerators over the common denominator.

5⋅2+516+7644

Simplify the numerator.

Multiply 5 by 2.

10+516+7644

Add 10 and 5.

1516+7644

1516+7644

To write 1516 as a fraction with a common denominator, multiply by 44.

1516⋅44+7644

Write each expression with a common denominator of 64, by multiplying each by an appropriate factor of 1.

Multiply 1516 and 44.

15⋅416⋅4+7644

Multiply 16 by 4.

15⋅464+7644

15⋅464+7644

Combine the numerators over the common denominator.

15⋅4+7644

Simplify the numerator.

Multiply 15 by 4.

60+7644

Add 60 and 7.

67644

67644

67644

Multiply the numerator by the reciprocal of the denominator.

6764⋅14

Multiply 6764 and 14.

6764⋅4

Multiply 64 by 4.

67256

67256

Divide.

0.26171875

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.

0.3

Find the Mean (Arithmetic) 3/8 , 1/4 , 5/16 , 7/64