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The attached graph displays the percent of Australian households with

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Sajjad1994
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The attached graph displays the percent of Australian households with [#permalink] New post   Updated on: 09 Jan 2024, 03:17
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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.

1. From 1993-94 to 2003-04, of the age groups graphed saw a greater than 15% increase in the proportion of households with owner-occupier housing debt.

2. Within the 45-54 age group, the proportion of households with owner-occupier housing debt from 1993-94 to 2003-04.



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Dropdown 1: 4 Dropdown 2: increased by more than 50% but less than 75%

Originally posted by Sajjad1994 on 03 Mar 2022, 08:00.
Last edited by BottomJee on 09 Jan 2024, 03:17, edited 3 times in total.
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zhanbo
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Re: The attached graph displays the percent of Australian households with [#permalink] New post   04 Mar 2022, 04:39
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Question 1: My answer is (D).
They are: 15-24, 35-44, 45-54, and 55-64.

Question 2: My answer is (B)
The increase is approximately (47-30)/30 = 56.7%

Question 3: My answer is (A)
For all age groups, percentage with owner-occupier housing debt is between 2.5% and 55%.
Hence (A) must be true.
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Re: The attached graph displays the percent of Australian households with [#permalink] New post   05 Mar 2022, 10:25
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Sajjad1994 wrote:


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.

From 1993-94 to 2003-04, ___________ of the age groups graphed saw a greater than 15% increase in the proportion of households with owner-occupier housing debt.

A. 1
B. 2
C. 3
D. 4
E. 5

Within the 45-54 age group, the proportion of households with owner-occupier housing debt ______________ from 1993-94 to 2003-04.

A. increased by less than 50%
B. increased by more than 50% but less than 75%
C. increased by more than 75%

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 ___________.

A. less than 55% but greater than 2.5%
B. less than 50% but greater than 20%
C. less than 40% but greater than 25%
D. None of the above conclusions can be drawn from the data in the graph.

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Visually looking at bars that jumped about at least 1/6 more, that is the case in four of the six bars. D
A jump from about 30 to 47, is an increase of over 50% but not even 2/3's increase so choice B
We only look at the blue bars for this question. The highest age group has just over 50% and the lowest age group has under 5%. As there are other groups in between 20 and 50%, it can be assumed that the overall homeowner debt % is within the two extremes, choice A.
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Re: The attached graph displays the percent of Australian households with [#permalink] New post   11 Mar 2022, 06:44
1st q - three age groups...option C

2nd q - 60 % increase ..so option B

3rd q - D

we cant draw any conclusions BECAUSE we need to know what is the population of australians WITHIN each of these age groups
- 15 - 24
- 25 - 34
- 35 - 44
- 45 - 54
- 55 - 64
- 65 +
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Re: The attached graph displays the percent of Australian households with [#permalink] New post   11 Mar 2022, 09:53
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Competition mode is off now.

OA is:

D, B, and A

Good work by both of you zhanbo and cyrwr1

Sorry, I have missed this question earlier.
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Re: The attached graph displays the percent of Australian households with [#permalink] New post   23 Feb 2024, 20:26
Hi @Sajjad1994-I think I fell into the percentage trap here. For percent increase, we need to make sure we use the percent change formula (which is (Final-Initial)/Initial), right? Because I initially solved this question by simply calculating the differences in the respective percentages for each age group, which led me to finding that only 1 group having an increase greater than 15% (this was the 45-54 age group). How do I avoid this confusion in the future? Is it always just to use percent change formula and never calculating the absolute difference, even between percentages? I found this question difficult for that reason, but got part 2 fairly easily.

Thanks, Kaushik
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The attached graph displays the percent of Australian households with [#permalink] New post   25 Feb 2024, 23:47
age group 65+ is also more than 15% right ? (5-4)/5*100­
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The attached graph displays the percent of Australian households with [#permalink]
25 Feb 2024, 23:47
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