How to find the proportion of people who play an instrument

  1. I have data outlining the number of people who play a musical instrument

    and data outlining the total number of people in each city

    play an instrument.............population
    255................................1 009 924
    179................................3 500 048
    556................................ 957 293
    etc.


    how do I write the proportion of people who play an instrument per 100 000 people?

    Should I do it like this?

    play an instrument.............population
    255................................1 009 924/100 000= 10.09924
    179................................3 500 048/100 000=35.00048
    556................................ 957 293/100 000=9.57293

    255/10.09924=25.25
    179/35.00048= 5.11422
    556/9.57293=58.01

    Thanks :)
     
  2. jcsd
  3. Simon Bridge

    Simon Bridge 14,660
    Science Advisor
    Homework Helper
    Gold Member

    It's like finding percentages ... only, in this case, you are finding the percentum-milli (?)

    If n people out of N play an instrument then 100(n/N)% play an instrument, which is 100000(n/N) out of 100000.

    eg. If there are 50,000 people in the city and 2 of them play an instrument, then 4 out of 100000 play an instrument.

    It does not matter which order you do the division and multiplications - so what you did works too.
    You did n/(N/100000) = 100000(n/N) - same thing see?

    But this way helps you keep it straight in your head what you are doing.
     
  4. Depending on the country, I suppose. In Africa, maybe as high as 10%. :bugeye:
     
  5. adjacent

    adjacent 1,533
    Gold Member

    Just look at the DATA given.In exams,you are not asked to find the true amount of people playing instruments.You only have to consider what's given in the DATA
     
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