GRE QUANT PROBLEMS ON LINE GRAPHS AND QUARTILES

1. GRE QUANT
LINE GRAPHS

2. 0
2
4
6
8
10
12
14
16
2000 2001 2002 2003 2004 2005 2006 2007 2008 2009
Chart Title
imports exports
Valueinbillions

3. QUESTION1
For which of the 8 years from 2001 to 2008 did exports exceed imports by more
than $5 billion
exports exceeded imports in the years 2001, 2002, 2003, 2006, 2007, 2008

4. Question 2
Calculate the average of the 9 changes in the values of imports from 2000 to 2009 in millions
of dollars
𝑣 2001 − 𝑣 2000 + (𝑣(2002 − 𝑣 2001 ) + (𝑣 2003 − 𝑣 2002 −−−−− −(𝑣 2009 − 𝑣(2008)
9
𝑣 2009 − 𝑣(2000)
9
=
6.2
9
= 0.68 𝑏𝑖𝑙𝑙𝑖𝑜𝑛

5. 1 billion = 103
𝑚𝑖𝑙𝑙𝑖𝑜𝑛
0.68 billion = 680 million
Question 3
In 2008, the value of exports was approximately what % greater than the value of imports
𝑣 𝑒𝑥𝑝𝑜𝑟𝑡𝑠 − 𝑣(𝑖𝑚𝑝𝑜𝑟𝑡𝑠)
𝑣(𝑖𝑚𝑝𝑜𝑟𝑡𝑠)
× 100% =
12 − 5
5
× 100% = 140%

6. Question 4
If it were discovered that the value of imports shown for 2007 should have been 5 billion $
Instead of 6 billion $, then the average value of imports per year for the 10 years should
have been approximately how much less
𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 average =
𝑠
10
−
𝑠−1
10
=
1
10
= 0.1 𝑏𝑖𝑙𝑙𝑖𝑜𝑛 = 100 𝑚𝑖𝑙𝑙𝑖𝑜𝑛
Let s be the sum of the imports in 2007

7. Find the quartiles of the 16 numbers
2,4, 4,5,7,7,7,7,7,7,8,8,9,9,9,9
Since the numbers are in ascending order, we take the first 8 numbers
2,4,4,5,7,7,7,7
Lower quartile = median of these
Ie
5+7
2
= 6.5
We take the next 8 numbers
7,7,8,8,9,9,9,9
Median of these = upper quartile =
8+9
2
= 8.5
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