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Hi,

Can you elaborate on 3 question. How did we figure out from number of new construction that almost half sold for less than mean price?

bM22
1. The county with the largest median home price in 2010 had the greatest number of new constructions begin in 2010?

The county with the largest median home price in 2010 - Hill, since it has the highest in 2011, even after a decrease of 2.4%,
now the country with the highest number of new constructions begin in 2010 = can be either Hill or Peck, so

for Hill let the number of new constructions in 2010 was x, therefore,
x+(1.2/100)x = 22050, which on solving we get x as: 21788

or Peck let the number of new constructions in 2010 was y, therefore,
y+(1.5/100)y = 21125, which on solving we get x as: 20812,

we can see that Hill has the highest number of new constructions begin in 2010,

So Yes, 1 can be concluded from the data mentioned in the table.

2. The three counties with the lowest mean home prices in 2011 had the three lowest numbers of new constructions in 2011?
Now the 3 countries with the lowest mean home prices in 2011 are: White, Portnoy and Rechner, in this order.
Now we need to check if they had the three lowest numbers of new constructions in 2011 - Patrick, Dempster and Malave.

So No, the 3 countries with the lowest mean home prices in 2011 did not have the 3 lowest numbers of new construction in 2011.


3. At least half of the homes in Hutchinson county sold for less than the average home price in that county in 2011?
So for Hutchinson - mean home price is : 426314, and median home price is: 409742 and we also know the number of new constructions in 2011 - 17255.
Now mean is close but, not lower than the median and if we look at the total no. of new constructions => almost half sold for < mean price.

So Yes.
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So boil down to the surface, median is the middle value of any given dataset and if it's less than mean it clearly means that at least half of the values are below mean and so the answer is clear.
7Amulya
Hi,

Can you elaborate on 3 question. How did we figure out from number of new construction that almost half sold for less than mean price?

bM22
1. The county with the largest median home price in 2010 had the greatest number of new constructions begin in 2010?

The county with the largest median home price in 2010 - Hill, since it has the highest in 2011, even after a decrease of 2.4%,
now the country with the highest number of new constructions begin in 2010 = can be either Hill or Peck, so

for Hill let the number of new constructions in 2010 was x, therefore,
x+(1.2/100)x = 22050, which on solving we get x as: 21788

or Peck let the number of new constructions in 2010 was y, therefore,
y+(1.5/100)y = 21125, which on solving we get x as: 20812,

we can see that Hill has the highest number of new constructions begin in 2010,

So Yes, 1 can be concluded from the data mentioned in the table.


2. The three counties with the lowest mean home prices in 2011 had the three lowest numbers of new constructions in 2011?
Now the 3 countries with the lowest mean home prices in 2011 are: White, Portnoy and Rechner, in this order.
Now we need to check if they had the three lowest numbers of new constructions in 2011 - Patrick, Dempster and Malave.

So No, the 3 countries with the lowest mean home prices in 2011 did not have the 3 lowest numbers of new construction in 2011.


3. At least half of the homes in Hutchinson county sold for less than the average home price in that county in 2011?
So for Hutchinson - mean home price is : 426314, and median home price is: 409742 and we also know the number of new constructions in 2011 - 17255.
Now mean is close but, not lower than the median and if we look at the total no. of new constructions => almost half sold for < mean price.

So Yes.
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here, what is the relevance of total no. of new construction 17255, while median home price and mean home price giving answer?please explain
napolean92728
So boil down to the surface, median is the middle value of any given dataset and if it's less than mean it clearly means that at least half of the values are below mean and so the answer is clear.

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I feel the question is a bit ambiguous. When they say "new constructions", are they referring to constructions completed in the given year or constructions that started that year? You are assuming they started that year (or started and finished the same year). I marked No cause we can't make the inference of when they began construction
bM22
1. The county with the largest median home price in 2010 had the greatest number of new constructions begin in 2010?

The county with the largest median home price in 2010 - Hill, since it has the highest in 2011, even after a decrease of 2.4%,
now the country with the highest number of new constructions begin in 2010 = can be either Hill or Peck, so

for Hill let the number of new constructions in 2010 was x, therefore,
x+(1.2/100)x = 22050, which on solving we get x as: 21788

or Peck let the number of new constructions in 2010 was y, therefore,
y+(1.5/100)y = 21125, which on solving we get x as: 20812,

we can see that Hill has the highest number of new constructions begin in 2010,

So Yes, 1 can be concluded from the data mentioned in the table.


2. The three counties with the lowest mean home prices in 2011 had the three lowest numbers of new constructions in 2011?
Now the 3 countries with the lowest mean home prices in 2011 are: White, Portnoy and Rechner, in this order.
Now we need to check if they had the three lowest numbers of new constructions in 2011 - Patrick, Dempster and Malave.

So No, the 3 countries with the lowest mean home prices in 2011 did not have the 3 lowest numbers of new construction in 2011.


3. At least half of the homes in Hutchinson county sold for less than the average home price in that county in 2011?
So for Hutchinson - mean home price is : 426314, and median home price is: 409742 and we also know the number of new constructions in 2011 - 17255.
Now mean is close but, not lower than the median and if we look at the total no. of new constructions => almost half sold for < mean price.

So Yes.
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