How to find the proportion of people who play an instrument

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Discussion Overview

The discussion revolves around calculating the proportion of people who play a musical instrument based on provided data from various cities. Participants explore methods for expressing this proportion per 100,000 people, touching on mathematical reasoning and the interpretation of data.

Discussion Character

  • Mathematical reasoning
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant presents data on the number of people who play instruments and the total population of cities, seeking guidance on calculating proportions per 100,000 people.
  • Another participant suggests that the calculation is akin to finding percentages, proposing a formula for determining the proportion of instrument players.
  • A third participant introduces a contextual consideration, noting that the proportion may vary by country, specifically mentioning a potential 10% in Africa.
  • A later reply reiterates the variability of proportions based on country and emphasizes that the exercise focuses on the data provided rather than seeking an absolute truth.

Areas of Agreement / Disagreement

Participants express differing views on the variability of proportions based on geographical context, and while there is some agreement on the calculation methods, the discussion remains unresolved regarding the implications of the data and its interpretation.

Contextual Notes

Participants do not clarify assumptions regarding the representativeness of the data or the specific contexts in which the proportions apply, leaving these aspects open to interpretation.

BCCB
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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 :)
 
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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.
 
Depending on the country, I suppose. In Africa, maybe as high as 10%. :bugeye:
 
goldust said:
Depending on the country, I suppose. In Africa, maybe as high as 10%. :bugeye:
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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