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The attached graph displays the percent of Australian households with

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The attached graph displays the percent of Australian households with [#permalink] New post   02 Dec 2023, 06:48
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The attached graph displays the percent of Australian households with owner-occupier household debt for the years of 1993-94 and 2003-04, broken down by the age group of the debtholder. Based on the graph, please answer the questions that follow.

3. Assuming that Australia had no homeowners who were less than 15 years old, it can be concluded from the graph that the overall percentage of Australian households with owner-occupier housing debt in 2003-04 was .

4. Please choose this drop-down as a Graphs question needs to have 2 .



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Dropdown 1: less than 55% but greater than 2.5% Dropdown 2: Choose this one
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Rotor666
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Re: The attached graph displays the percent of Australian households with [#permalink] New post   07 Jan 2024, 10:06
Hi Moderator sir, pls help with the explanation for this piece. I am rather confused with how could we logically conclude the %
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Re: The attached graph displays the percent of Australian households with [#permalink] New post   08 Jan 2024, 09:05
I'm sorry for any confusion, but currently, I don't have the capability to view or interpret attached images, including graphs. However, you can describe the content or context of the graph, and I'll do my best to help answer any questions or provide relevant information based on the description you provide.
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Re: The attached graph displays the percent of Australian households with [#permalink] New post   24 Jan 2024, 05:41
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For example: if A is population of 15-24, the respective population of other age groups are B,C,D,E,F.
So the total population of house owners are A+B+C+D+E+F.
The lowest percentage of houseowners with debt is for F which is 2.5% of F.
The highest percentage is for C which is 55% of C.
The percentage value of houseowners with debt is also ~ (A*0.2+B*0.45+C*0.55+D*0.45+E*0.25+F(0.025) / A+B+C+D+E+F )*100

Hence, irrespective of actual values of A through F, % of debt houseowners will lie between 2.5% - 55%
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Re: The attached graph displays the percent of Australian households with [#permalink] New post   24 Jan 2024, 08:30
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The attached graph displays the percent of Australian households with owner-occupier household debt for the years of 1993-94 and 2003-04, broken down by the age group of the debtholder. Based on the graph, please answer the questions that follow.

We are not aware of the number of people in each age bracket, so to get the possible range, we will maximize the extreme ends
Upper range: The highest % is in age bracket 35-44 yrs, so we take almost the entire of population to be in this bracket. Hence, the max % can go above 55%.
Lower range: The lowest % is in age bracket 65+ yrs, so we take almost the entire of population to be in this bracket. Hence, the min % can go below 2.5%.
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Re: The attached graph displays the percent of Australian households with [#permalink] New post   19 Mar 2024, 01:14
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We need to find the weighted average where weights are the number of people which different age groups. Since, we do not know that weights we cannot find the weighted average but we can say that the weighted average must be between min and max percentages. Hence, it must be between 2.5% and 55%
Rotor666 wrote:
Hi Moderator sir, pls help with the explanation for this piece. I am rather confused with how could we logically conclude the %

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Re: The attached graph displays the percent of Australian households with [#permalink]
19 Mar 2024, 01:14
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