# Find the Mean (Arithmetic) 3.569 , 3 7/11 , 3.59 , 71/20

3.569 , 3711 , 3.59 , 7120
Convert 3711 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
3.569,3+711,3.59,7120
To write 3 as a fraction with a common denominator, multiply by 1111.
3.569,3⋅1111+711,3.59,7120
Combine 3 and 1111.
3.569,3⋅1111+711,3.59,7120
Combine the numerators over the common denominator.
3.569,3⋅11+711,3.59,7120
Simplify the numerator.
Multiply 3 by 11.
3.569,33+711,3.59,7120
3.569,4011,3.59,7120
3.569,4011,3.59,7120
3.569,4011,3.59,7120
3.569,4011,3.59,7120
The mean of a set of numbers is the sum divided by the number of terms.
3.569+4011+3.59+71204
Simplify the numerator.
To write 3.569 as a fraction with a common denominator, multiply by 1111.
3.569⋅1111+4011+3.59+71204
Combine 3.569 and 1111.
3.569⋅1111+4011+3.59+71204
Combine the numerators over the common denominator.
3.569⋅11+4011+3.59+71204
To write 3.59 as a fraction with a common denominator, multiply by 1111.
3.569⋅11+4011+3.59⋅1111+71204
Combine 3.59 and 1111.
3.569⋅11+4011+3.59⋅1111+71204
Combine the numerators over the common denominator.
3.569⋅11+40+3.59⋅1111+71204
To write 3.569⋅11+40+3.59⋅1111 as a fraction with a common denominator, multiply by 2020.
3.569⋅11+40+3.59⋅1111⋅2020+71204
To write 7120 as a fraction with a common denominator, multiply by 1111.
3.569⋅11+40+3.59⋅1111⋅2020+7120⋅11114
Write each expression with a common denominator of 220, by multiplying each by an appropriate factor of 1.
Multiply 3.569⋅11+40+3.59⋅1111 and 2020.
(3.569⋅11+40+3.59⋅11)⋅2011⋅20+7120⋅11114
Multiply 11 by 20.
(3.569⋅11+40+3.59⋅11)⋅20220+7120⋅11114
Multiply 7120 and 1111.
(3.569⋅11+40+3.59⋅11)⋅20220+71⋅1120⋅114
Multiply 20 by 11.
(3.569⋅11+40+3.59⋅11)⋅20220+71⋅112204
(3.569⋅11+40+3.59⋅11)⋅20220+71⋅112204
Combine the numerators over the common denominator.
(3.569⋅11+40+3.59⋅11)⋅20+71⋅112204
Rewrite (3.569⋅11+40+3.59⋅11)⋅20+71⋅11220 in a factored form.
Simplify each term.
Multiply 3.569 by 11.
(39.259+40+3.59⋅11)⋅20+71⋅112204
Multiply 3.59 by 11.
(39.259+40+39.49)⋅20+71⋅112204
(39.259+40+39.49)⋅20+71⋅112204
(79.259+39.49)⋅20+71⋅112204
118.749⋅20+71⋅112204
Multiply 118.749 by 20.
2374.98+71⋅112204
Multiply 71 by 11.
2374.98+7812204
3155.982204
Divide 3155.98 by 220.
14.34536‾4
14.34536‾4
14.34536‾4
Divide 14.34536‾ by 4.
3.5863409‾
Divide.
3.5863409‾
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.
3.6
Find the Mean (Arithmetic) 3.569 , 3 7/11 , 3.59 , 71/20

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