average of a list of ratio

[megaproto]

hello to get an average for a list of number is simple but i am not quite sure for a list of ratio, is the formula the same or is there a special formula for a list of ratio

eg 1:2, 1:1.02, 1:1.13, 1:1.14 <---average of this list and standard of deviation as an example

does anyone know?

 

[Deleted member 4993]

hello to get an average for a list of number is simple but i am not quite sure for a list of ratio, is the formula the same or is there a special formula for a list of ratio

eg 1:2, 1:1.02, 1:1.13, 1:1.14 <---average of this list and standard of deviation as an example

does anyone know?

In the absence of any other restriction, I would treat those as fractions - i.e. -

1:2, 1:1.02, 1:1.13, 1:1.14 = 0.5, 0.980392157, 0.884955752, 0.877192982

 

[mmm4444bot]

We use the same process for averaging a set of numbers regardless of whether the numbers involved are whole or fractional.

Your set of four ratios can be viewed as four fractions: {1/2, 1/1.02, 1/1.13, 1/1.14}

Add the fractions (Subhotosh gave you the decimal forms), and divide their sum by 4. This yields the average written as a decimal number; you could write the average itself as a ratio, by working with Rational numbers, instead.

236699:291992



:idea: I will just mention that there are times in real life (with a set of ratios) where we may want to examine the ratio of the average numerator to the average denominator, but that is not what they ask for in this exercise.

If you like, you can read a specific example about the difference between these two concepts HERE.

Cheers ~ Mark

 

[megaproto]

Thank you =)