Anybody good at maths lol

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I left school 27 years ago and my maths is failing me.

1) Say you have 3 cities Liverpool, Manchester and Leeds.

Liverpool has a male population of 48.4% and a female poulation of 51.6%

Manchester has a male population of 48.8% and a female poulation of 51.2%

Leeds has a male population of 48.7% and a female population of 51.3%

What formula would you use to work out that average % of the 3 male populations?


2)Also what formula would you use to calculate % difference between the 48.4%, 48.8% and 48.7% male percentages?

So I am trying to work out from the data there is only a ?% difference between the male poulations of Liverpool, Manchester and Leeds.

I hope I have explained myself well lol.
 
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2)Also what formula would you use to calculate % difference between the 48.4%, 48.8% and 48.7% male percentages?

To calculate what A is as a percentage of B, follow the formula:

(A / B) x 100

So if A was 10 and B was 20:

(10/20) x 100 = 50%

------------------------------

So 48.4 / 48.8 x 100 = 99.18...%

or

48.8 / 48.4 x 100 = 100.83...%

So there is a difference of 0.83%
 
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I'm rubbish at maths, but the average is just 48.4 + 48.8 + 48.7 / 3? :confused:

So... average of 48.63 recurring. And the difference is just 0.4%?

To calculate what A is as a percentage of B, follow the formula:

(A / B) x 100

So if A was 10 and B was 20:

(10/20) x 100 = 50%

------------------------------

So 48.4 / 48.8 x 100 = 99.18...%

or

48.8 / 48.4 x 100 = 100.83...%

So there is a difference of 0.83%


Interesting! You both appear to posess an average of greater accuracy than that of the data provided.
 
Wouldn't weighting it make more sense?

i.e. for average % male,
Total number of men = (population of liverpool * 0.484) + (pop. of manchester * 0.488) + (pop. of leeds * 0.487)
% men for the cities combined = 100 * Total number of men / (pop of liverpool + pop of manchester + pop of leeds)
 
To do it accurately you need the total population of each city and perform a weighted average calculation.
 
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