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For 3 years of economic volatility in Country X, an economist tracked quarterly gross domestic product (GDP). The graph shows the percent differences in the inflation-adjusted euro value of the quarterly GDP from its level in Quarter 4 of 2010. For example, the graph shows the inflation-adjusted GDP for Quarter 2 of 2012 as 0.9% greater than the inflation adjusted GDP for Quarter 4 of 2010. The graph also shows the inflation-adjusted GDP for Quarter 1 of 2012 as 1.1% less than the inflation-adjusted GDP for Quarter 4 of 2010.
Select from the drop-down menus the options that create the most accurate statements, based on the information provided.
In the period 2011-2013, according to the graph, the inflation-adjusted euro value of quarterly GDP was least in .
To the nearest 0.1%, the median of the percent differences, as shown in the graph, in the inflation-adjusted euro value of quarterly GDP in the period 2011 - 2013 is percent.
I found this problem in the OG exam 5 and didn't see it anywhere. Since what the graph shows is the % over the 2010 GDP, you're looking for the lowest value out of all of the given values, which leads you to Q2 of 2013, -3.7%. What I did for the median was that I looked at the 4 negative values and counted them out, then found the highest 4 values (5.1, 4.8, 2.8, and 2.5) and took them out. Mentally I did the math with the last values, (0.3, 0.9, 1.1, and 2.5) which is just 0.9+1.1 divided by 2 to find the median.
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Q1: In the period 2011-2013, according to the graph, the inflation-adjusted euro value of quarterly GDP was least in
Since all the inflation-adjusted euro value of quarterly GDP values are given as % change from Q4 2010, the value with the highest percent decrease is the least inflation-adjusted euro value of quarterly GDP. Q2 2013 was the highest decrease of \(-3.7\text{%}\)
Q2: To the nearest 0.1%, the median of the percent differences, as shown in the graph, in the inflation-adjusted euro value of quarterly GDP in the period 2011 - 2013 is
There are 12 values. The median value will be the average of \(6^{th}\) & \(7^{th}\) value.
\(6^{th}\) value is \(0.9\text{%}\) & \(7^{th}\) value is \(1.1\text{%}\). Average of these is \(1\text{%}\)
Hey how can the 6th and 7th value be that. I got it as 1.5 and 2.3
tgsankar10
Q1: In the period 2011-2013, according to the graph, the inflation-adjusted euro value of quarterly GDP was least in
Since all the inflation-adjusted euro value of quarterly GDP values are given as % change from Q4 2010, the value with the highest percent decrease is the least inflation-adjusted euro value of quarterly GDP. Q2 2013 was the highest decrease of \(-3.7\text{%}\)
Q2: To the nearest 0.1%, the median of the percent differences, as shown in the graph, in the inflation-adjusted euro value of quarterly GDP in the period 2011 - 2013 is
There are 12 values. The median value will be the average of \(6^{th}\) & \(7^{th}\) value.
\(6^{th}\) value is \(0.9\text{%}\) & \(7^{th}\) value is \(1.1\text{%}\). Average of these is \(1\text{%}\)
Hey how can the 6th and 7th value be that. I got it as 1.5 and 2.3
tgsankar10
Q1: In the period 2011-2013, according to the graph, the inflation-adjusted euro value of quarterly GDP was least in
Since all the inflation-adjusted euro value of quarterly GDP values are given as % change from Q4 2010, the value with the highest percent decrease is the least inflation-adjusted euro value of quarterly GDP. Q2 2013 was the highest decrease of \(-3.7\text{%}\)
Q2: To the nearest 0.1%, the median of the percent differences, as shown in the graph, in the inflation-adjusted euro value of quarterly GDP in the period 2011 - 2013 is
There are 12 values. The median value will be the average of \(6^{th}\) & \(7^{th}\) value.
\(6^{th}\) value is \(0.9\text{%}\) & \(7^{th}\) value is \(1.1\text{%}\). Average of these is \(1\text{%}\)
What you're not seeing is that there are negative values. There is no 2.3, only -2.3. Since negative numbers are less than 0, you take out the 4 negative numbers. I also have an explanation in the spoiler.
manavrajj
Hey how can the 6th and 7th value be that. I got it as 1.5 and 2.3
tgsankar10
Q1: In the period 2011-2013, according to the graph, the inflation-adjusted euro value of quarterly GDP was least in
Since all the inflation-adjusted euro value of quarterly GDP values are given as % change from Q4 2010, the value with the highest percent decrease is the least inflation-adjusted euro value of quarterly GDP. Q2 2013 was the highest decrease of \(-3.7\text{%}\)
Q2: To the nearest 0.1%, the median of the percent differences, as shown in the graph, in the inflation-adjusted euro value of quarterly GDP in the period 2011 - 2013 is
There are 12 values. The median value will be the average of \(6^{th}\) & \(7^{th}\) value.
\(6^{th}\) value is \(0.9\text{%}\) & \(7^{th}\) value is \(1.1\text{%}\). Average of these is \(1\text{%}\)
What you're not seeing is that there are negative values. There is no 2.3, only -2.3. Since negative numbers are less than 0, you take out the 4 negative numbers. I also have an explanation in the spoiler.
manavrajj
Hey how can the 6th and 7th value be that. I got it as 1.5 and 2.3
tgsankar10
Q1: In the period 2011-2013, according to the graph, the inflation-adjusted euro value of quarterly GDP was least in
Since all the inflation-adjusted euro value of quarterly GDP values are given as % change from Q4 2010, the value with the highest percent decrease is the least inflation-adjusted euro value of quarterly GDP. Q2 2013 was the highest decrease of \(-3.7\text{%}\)
Q2: To the nearest 0.1%, the median of the percent differences, as shown in the graph, in the inflation-adjusted euro value of quarterly GDP in the period 2011 - 2013 is
There are 12 values. The median value will be the average of \(6^{th}\) & \(7^{th}\) value.
\(6^{th}\) value is \(0.9\text{%}\) & \(7^{th}\) value is \(1.1\text{%}\). Average of these is \(1\text{%}\)
You aren't ignoring any values. The order of the values goes as follows: -3.7, -2.3, -1.1, -0.5, 0.3, 0.9, 1.1, 1.5, 2.5, 2.8, 4.8, 5.1. Since there are 12 values, you take the 6th and 7th value, 0.9 and 1.1 respectively, and take the average, which is 1.0.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.