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A real estate agent did research to compile the number of new home sal

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fameatop
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A real estate agent did research to compile the number of new home sal [#permalink] New post   Updated on: 26 Nov 2023, 05:45
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A real estate agent did research to compile the number of new home sales in five different cities, for each of the years 2004, 2006, 2008, and 2010. Each number indicates the total number of new homes sold in that city in that year, regardless of when construction started on each home.

From the drop-down menu, select the option that creates the most accurate statement based on the information provided.

1. The city with the largest difference in new home sales from the beginning of the period to the end of the period was .

2. The city with the greatest variance in new home sales during the 4 years is .


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Dropdown 1: Round Lake Dropdown 2: Antioch

Originally posted by fameatop on 11 Feb 2013, 13:23.
Last edited by BottomJee on 26 Nov 2023, 05:45, edited 8 times in total.
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Re: A real estate agent did research to compile the number of new home sal [#permalink] New post   12 Feb 2013, 21:44
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fameatop wrote:
A real estate agent did research to compile the number of new home sales in five different cities, for each of the years 2004, 2006, 2008, and 2010. Each number indicates the total number of new homes sold in that city in that year, regardless of when construction started on each home.

From the drop-down menu, select the option that creates the most accurate statement based on the information provided.

Q) The city with the greatest variance in new home sales during the 4 years is
Antioch
Lindenhurst
Round Lake
Spring Grove


If the values are around the mean, the variance is low. If the values are far away from the mean, the variance is high. (Variance is just the square of SD and hence is based on the same concepts)
The dark blue line (Antioch) shows maximum variation since in 2004, home sales was 50 and in 2008, it was 350. On the number line, the sales of Antioch would be further apart from the mean than those of any other city.
Answer: Antioch

On the same lines, the variation will be least in the case of Spring Grove.
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Re: A real estate agent did research to compile the number of new home sal [#permalink] New post   13 Feb 2013, 00:14
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fameatop wrote:
A real estate agent did research to compile the number of new home sales in five different cities, for each of the years 2004, 2006, 2008, and 2010. Each number indicates the total number of new homes sold in that city in that year, regardless of when construction started on each home.

From the drop-down menu, select the option that creates the most accurate statement based on the information provided.

Q) The city with the greatest variance in new home sales during the 4 years is
Antioch
Lindenhurst
Round Lake
Spring Grove

Received PM.

Hi Fame,

Variance is a measure of how far data points of a dataset are spread w.r.t. mean.

We are interested in fetching a single value as variance that will be a representative value for all deviations of the data points. As a thumb rule, more the spread (range) of data points from mean value, more the variance could be and vice versa. there are exception to this.

Here, you should apply your best estimation - which variance value would be greater than the other? It is quite obvious that project Antioch will have the highest value of variance among all projects, because it has the highest range (350-50=300) among all projects. The three extreme data points (350, 50 and 50) will increase the values of deviations to higher level. So the answer is Antioch.

Hope this helps. :-)

Shalabh
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Re: A real estate agent did research to compile the number of new home sal [#permalink] New post   11 Jun 2014, 00:19
colors are not clear to differentiate betwee antinouth and groove
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Re: A real estate agent did research to compile the number of new home sal [#permalink] New post   18 Jan 2024, 04:03
1) Largest difference is for Round Lake i.e 250 - 100 = 150
Rest , A=> 50 - 50 = 0
L => 150 - 125 =25
Z => 150 - 75 = 75

2) Look for the city which is not at all a straight line...The more straighter , lesser variance.
Only Antioch fits the bill.
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Re: A real estate agent did research to compile the number of new home sal [#permalink]
18 Jan 2024, 04:03
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