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Originally posted by Sajjad1994 on 30 Mar 2021, 22:00.
Last edited by Bunuel on 21 Oct 2025, 00:44, edited 3 times in total.
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Difficulty:
65%
(hard)
Question Stats:
68%
(02:29)
correct 32%
(02:46)
wrong
based on 812
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The scatter plot shows the percentage change in median personal income for residents in 30 U.S. states from 2008 to 2009 and from 2009 to 2010. The y-axis represents the percentage change in median income from 2008 to 2009, and the x-axis represents the percentage change in median income from 2009 to 2010.
For each statement, select the option from the drop-down menu that completes the statement as accurately as possible according to the information provided.
If a state from the sample shown is chosen at random, the probability that the median income of that state's residents increased each year from 2008 to 2010 is closest to .
Among the states represented in the scatter plot, the number that saw an increase in residents' median income from 2008 to 2009 is the number that saw an increase in residents' median income from 2009 to 2010.
A nice and simple question. In first part, we just need to count the number of states that had positive x&y axis to a total of 30 states. In second part, count positive x dots and positive y dots. It asks whether positive X dots are >/=/< the positive y dots.
Isn't the title of the axes in the image inverted in relation to what is said in the text? I found it confusing
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I agree that this is kind of a rare graph and a bit confusing. Below I have pulled the official explanation for you.
Official Explanation
This is a Graphics Interpretation question. All answers will be based on information from the scatter plot and the accompanying text. Each point represents one of 30 states. The y-axis value indicates the percent change in that state's median income from 2008 to 2009, while the x-axis value indicates the percent change in the state's median income from 2009 to 2010. Any state in the upper right quadrant saw an increase in both years, while states in the lower left quadrant saw a decrease in both years. The states in the upper left quadrant saw an increase from 2008 to 2009 but a decrease from 2009 to 2010. And the states in the lower right quadrant saw a decrease from 2008 to 2009 but an increase from 2009 to 2010.
1. If a state from the sample shown is chosen at random, the probability that the median income of that state's residents increased each year from 2008 to 2010 is closest to _________.
The question asks for the probability of selecting a state out of the 30 states graphed in which the median increased each year, from 2008 to 2009 and from 2009 to 2010. The desired outcomes are states in the upper right quadrant of the graph. There are 6 dots in that quadrant out of the total 30 for a probability of 6/30 = 1/5 = 0.20.
Answer: 0.20
2. Among the states represented in the scatter plot, the number that saw an increase in residents' median income from 2008 to 2009 is _________ the number that saw an increase in residents' median income from 2009 to 2010.
The question asks for a comparison between the number of states that saw an increase from 2008 to 2009 and the number that saw an increase from 2009 to 2010. The 2008 to 2009 figures are represented by the y-axis value. An increase in that time period means a positive y-axis value, so count the dots in the top half of the graph. There are 10 states that fit this criterion. The 2009 to 2010 figures are represented by the x-axis value. This time, an increase would mean a positive x-axis value, so count the states in the right half of the graph: there are 14. Thus, the number of states that saw an increase from 2008 to 2009 (10) is less than the number with an increase from 2009 to 2010 (14).
so the graph titles are inverted right? Based on the explanation
Sajjad1994
I agree that this is kind of a rare graph and a bit confusing. Below I have pulled the official explanation for you.
Official Explanation
This is a Graphics Interpretation question. All answers will be based on information from the scatter plot and the accompanying text. Each point represents one of 30 states. The y-axis value indicates the percent change in that state's median income from 2008 to 2009, while the x-axis value indicates the percent change in the state's median income from 2009 to 2010. Any state in the upper right quadrant saw an increase in both years, while states in the lower left quadrant saw a decrease in both years. The states in the upper left quadrant saw an increase from 2008 to 2009 but a decrease from 2009 to 2010. And the states in the lower right quadrant saw a decrease from 2008 to 2009 but an increase from 2009 to 2010.
1. If a state from the sample shown is chosen at random, the probability that the median income of that state's residents increased each year from 2008 to 2010 is closest to _________.
The question asks for the probability of selecting a state out of the 30 states graphed in which the median increased each year, from 2008 to 2009 and from 2009 to 2010. The desired outcomes are states in the upper right quadrant of the graph. There are 6 dots in that quadrant out of the total 30 for a probability of 6/30 = 1/5 = 0.20.
Answer: 0.20
2. Among the states represented in the scatter plot, the number that saw an increase in residents' median income from 2008 to 2009 is _________ the number that saw an increase in residents' median income from 2009 to 2010.
The question asks for a comparison between the number of states that saw an increase from 2008 to 2009 and the number that saw an increase from 2009 to 2010. The 2008 to 2009 figures are represented by the y-axis value. An increase in that time period means a positive y-axis value, so count the dots in the top half of the graph. There are 10 states that fit this criterion. The 2009 to 2010 figures are represented by the x-axis value. This time, an increase would mean a positive x-axis value, so count the states in the right half of the graph: there are 14. Thus, the number of states that saw an increase from 2008 to 2009 (10) is less than the number with an increase from 2009 to 2010 (14).
so the graph titles are inverted right? Based on the explanation
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The title “2009–2010” is written horizontally because it labels the horizontal (x-) axis, and “2008–2009” is written vertically because it labels the vertical (y-) axis. The graph is correct; you just mixed them up.