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Re: Throughout a certain decade in a European city, the mean monthly rents [#permalink]
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MartyMurray wrote:
­Throughout a certain decade in a European city, the mean monthly rents for studio apartments varied yearly, from a low of €804 to a high of €1,173. Those for one-bedroom apartments also varied yearly, from a low of €1,060 to a high of €1,497. But some individual studio apartments rented for as little as €420 in some years, and some one-bedroom apartments rented for up to €2,262. To visually assess how the ratio of mean monthly rents for studio apartments to those for one-bedroom apartments varied yearly over the decade, Maria requires a graph with the following characteristics. The graph will have two axes of equal length, with mean rents for one-bedroom apartments shown on the horizontal axis and mean rents for studio apartments shown on the vertical axis, and with the same scale on both axes. For each year, mean rents will be plotted as a point.

From the following options, select for Horizontal axis a range for the points on the horizontal axis and select for Vertical axis a range for the points on the vertical axis that together would satisfy Maria's requirements for the graph. Make only two selections, one in each column.­


The graph must have the following characteristics:

- two axes of equal length

- mean rents for one-bedroom apartments shown on the horizontal axis

- mean rents for studio apartments shown on the vertical axis

- the same scale on both axes

- For each year, mean rents will be plotted as a point.


The passage provides several values. However, the graph will show only mean rents. So, the only values that matter are the following:

Studio apartments:

a low of €804 to a high of €1,173   

One-bedroom apartments:

a low of €1,060 to a high of €1,497

So, the axis for studio apartments must go at least from around 800 to around 1,200, and the axis for one-bedroom aparments must go at least from around 1,000 to around 1500.

€0 to €1,500

€400 to €1,100

€800 to €1,200

€1,000 to €2,300

€1,100 to €1,500


One of the characteristics of the graph is that it has two axes of equal length. Scanning the choices, we see that only two are of the same length: €800 to €1,200 and €1,100 to €1,500.

€800 to €1,200 would work for studio apartments since it allows for a low of €804 and a high of €1,173.

However, €1,100 to €1,500 does not work for one-bedroom apartments since it does not allow for the low of €1,060.

So, it must be the case that one of the choices works for both axes since only by using one choice for both can we get axes of equal length and include all the values.

(Also, by the way, if one choice works for both, that choice must be the correct answer since the question cannot be answerable in two ways.)

To have the points for all the values of mean rents, the axes must go at least from a low of around 800 to a high of around 1,500. The only choice that includes both of those values is €0 to €1,500.

So, the correct answer for both Horizontal axis and Vertical axis is €0 to €1,500.

Answer: €0 to €1,500, €0 to €1,500­­

­Thank you for the reply but there is also 1 statement in the question "and some one-bedroom apartments rented for up to €2,262.". How will this be accomodated in the given solution?
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Re: Throughout a certain decade in a European city, the mean monthly rents [#permalink]
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ckavya2691,

It is easy to get lost in the wordings. This is exactly what the intention of this question is.
Throws a lot of data but seeks graph of a petticoat thing.

Graph is of mean monthly rents which are : the mean monthly rents for studio apartments varied yearly, from a low of €804 to a high of €1,173. Those for one-bedroom apartments also varied yearly, from a low of €1,060 to a high of €1,497.

The graph will have two axes of equal length, with mean rents for one-bedroom apartments shown on the horizontal axis and mean rents for studio apartments shown on the vertical axis, and with the same scale on both axes.


Now what about the additional values given?
But some individual studio apartments rented for as little as €420 in some years, and some one-bedroom apartments rented for up to €2,262.
These are some variations of some individual apartments and these will have impact on the mean monthly rents. Precisely, the reason why the mean monthly rents over years is spread over a given range.
Whatever impact these outliers had to make has already been included in the mean monthly ranges of 804-1173 and 1069-1497.

We have to restrict our axes to the mean monthly ranges only and 0-1500 includes both 804-1173 and 1069-1497.
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Re: Throughout a certain decade in a European city, the mean monthly rents [#permalink]
chetan2u wrote:
ckavya2691,

It is easy to get lost in the wordings. This is exactly what the intention of this question is.
Throws a lot of data but seeks graph of a petticoat thing.

Graph is of mean monthly rents which are : the mean monthly rents for studio apartments varied yearly, from a low of €804 to a high of €1,173. Those for one-bedroom apartments also varied yearly, from a low of €1,060 to a high of €1,497.

The graph will have two axes of equal length, with mean rents for one-bedroom apartments shown on the horizontal axis and mean rents for studio apartments shown on the vertical axis, and with the same scale on both axes.


Now what about the additional values given?
But some individual studio apartments rented for as little as €420 in some years, and some one-bedroom apartments rented for up to €2,262.
These are some variations of some individual apartments and these will have impact on the mean monthly rents. Precisely, the reason why the mean monthly rents over years is spread over a given range.
Whatever impact these outliers had to make has already been included in the mean monthly ranges of 804-1173 and 1069-1497.

We have to restrict our axes to the mean monthly ranges only and 0-1500 includes both 804-1173 and 1069-1497.

­Got it, thank you!
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Re: Throughout a certain decade in a European city, the mean monthly rents [#permalink]
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chetan2u wrote:
­
All Data Insight question: TPA [ Official Guide DI Review 2023-24] 



­Throughout a certain decade in a European city, the mean monthly rents for studio apartments varied yearly, from a low of €804 to a high of €1,173. Those for one-bedroom apartments also varied yearly, from a low of €1,060 to a high of €1,497. But some individual studio apartments rented for as little as €420 in some years, and some one-bedroom apartments rented for up to €2,262. To visually assess how the ratio of mean monthly rents for studio apartments to those for one-bedroom apartments varied yearly over the decade, Maria requires a graph with the following characteristics. The graph will have two axes of equal length, with mean rents for one-bedroom apartments shown on the horizontal axis and mean rents for studio apartments shown on the vertical axis, and with the same scale on both axes. For each year, mean rents will be plotted as a point.

From the following options, select for Horizontal axis a range for the points on the horizontal axis and select for Vertical axis a range for the points on the vertical axis that together would satisfy Maria's requirements for the graph. Make only two selections, one in each column.­

­Mean monthly rents for one-bedroom apartments range from 1060 to 1497.
Answer choices that can accommodate this range:
€0 to €1,500 --> axis length = 1500-0 = 1500
€1,000 to €2,300 --> axis length = 2300-1000 = 1300

Mean monthly rents for studio apartments range from 804 to 1173.
Answer choices that can accommodate this range:
€0 to €1,500 --> axis length = 1500-0 = 1500
€800 to €1,200 --> axis length = 1200-800 = 400

Since the axis length in each case must be the same, only the option in blue is viable for each axis. ­
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Re: Throughout a certain decade in a European city, the mean monthly rents [#permalink]
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chetan2u wrote:
­
All Data Insight question: TPA [ Official Guide DI Review 2023-24] 



­Throughout a certain decade in a European city, the mean monthly rents for studio apartments varied yearly, from a low of €804 to a high of €1,173. Those for one-bedroom apartments also varied yearly, from a low of €1,060 to a high of €1,497. But some individual studio apartments rented for as little as €420 in some years, and some one-bedroom apartments rented for up to €2,262. To visually assess how the ratio of mean monthly rents for studio apartments to those for one-bedroom apartments varied yearly over the decade, Maria requires a graph with the following characteristics. The graph will have two axes of equal length, with mean rents for one-bedroom apartments shown on the horizontal axis and mean rents for studio apartments shown on the vertical axis, and with the same scale on both axes. For each year, mean rents will be plotted as a point.

From the following options, select for Horizontal axis a range for the points on the horizontal axis and select for Vertical axis a range for the points on the vertical axis that together would satisfy Maria's requirements for the graph. Make only two selections, one in each column.­
 

This is the intent of the graph: 
To visually assess how the ratio of mean monthly rents for studio apartments to those for one-bedroom apartments varied yearly over the decade,

It needs to asses the MEAN monthly rents so lowest and highest given rents are irrelevant. 

Studio MEAN - low of €804 to a high of €1,173 - Vertical Axis 

One Bedroom MEAN - low of €1,060 to a high of €1,497 - Horizontal Axis 

Since both axis should have same length and scale, we need a range that could cover all the MEANs of both.

Only range 0 - 1500 covers both ranges, 804 to 1173 and 1060 to 1497.
ANSWER


Note that ­range 1000 - 2300 covers the One bedroom means but not the studio means.
And range 800 - 1200 covers the Studio means but not the One bedroom means. 
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Re: Throughout a certain decade in a European city, the mean monthly rents [#permalink]
Official answer:
Because both axes must be the same length and have the same scale, the range for both axes must start low enough to accommodate €804 and go high enough to accommodate €1,497. The range €0 to €1,500 accommodates both the low of €804 and the high of €1,497. Neither of the ranges €400 to €1,100 and €800 to €1,200 goes high enough to accommodate €1,497 and neither of the ranges €1,000 to €2,300 and €1,100 to €1,500 goes low enough to accommodate €804.

The correct answer is €0 to €1,500.
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Re: Throughout a certain decade in a European city, the mean monthly rents [#permalink]
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