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For 3 years of economic volatility in Country X, an economist tracked quarterly gross domestic product (GDP). The graph shows...

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Graph showing quarterly GDP percent differences over 3 years of economic volatility

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 ispercent.
Solution

Owning The Dataset

Table 1: Text Analysis

Text Component Literal Content Simple Interpretation
Time period 3 years of economic volatility The data spans three unstable economic years.
Location Country X The country's identity is unspecified, labeled as 'Country X.'
What was tracked Quarterly gross domestic product (GDP) GDP was measured every quarter.
Measurement type Percent differences in inflation-adjusted euro value Changes are shown as percent differences, accounting for inflation, in euros.
Reference baseline From its level in Quarter 4 of 2010 Every data point is compared to the GDP value in Q4 2010, set as the reference \(\mathrm{0\%}\).
Example: Q2 2012 GDP for Q2 2012 is \(\mathrm{0.9\%}\) greater than the GDP for Q4 2010 In Q2 2012, GDP was up \(\mathrm{0.9\%}\) compared to the baseline.
Example: Q1 2012 GDP for Q1 2012 is \(\mathrm{1.1\%}\) less than the GDP for Q4 2010 In Q1 2012, GDP was down \(\mathrm{1.1\%}\) from the baseline.

Table 2: Chart Analysis

Chart Component What It Shows What This Means
Chart type Grouped bar chart (4 bars per year, 3 years, total 12 bars) Allows comparison by year and by quarter
Y-axis scale Percent differences from Q4 2010 ranging from \(\mathrm{-5\%}\) to \(\mathrm{+6\%}\) Positive values show growth, negatives show decline
X-axis/Legend Years (2011-2013), quarters differentiated by patterns/colors Patterns help track individual quarters across years
Labels All bar values are shown No estimation needed; precise values are given
2011 data \(\mathrm{1.1\%, 0.3\%, 4.8\%, 5.1\%}\) All quarters above baseline; strong and improving growth
2012 data \(\mathrm{-1.0\%, 0.9\%, 2.0\%, -0.5\%}\) Mixed: alternating declining and growing quarters; signals emerging volatility
2013 data \(\mathrm{-2.3\%, 2.5\%, 1.5\%, -3.7\%}\) More extreme swings; two quarters below, two above baseline; largest drop in Q4 2013

Key Insights

  1. In 2011, all quarters were above the Q4 2010 baseline (\(\mathrm{+1.1\%}\) to \(\mathrm{+5.1\%}\)), reflecting consistent growth.
  2. From 2012 onward, quarterly GDP became more volatile, oscillating between growth and contraction within each year.
  3. Q4 of 2013 recorded the lowest point (\(\mathrm{-3.7\%}\)), marking a major economic downturn at the period's end.
  4. The largest single increase above the baseline occurred in Q4 2011 (\(\mathrm{+5.1\%}\)).
  5. Overall, the dataset demonstrates an initial period of strong economic recovery followed by increasing instability.

Step-by-Step Solution

Question 1: Identifying the Lowest GDP Quarter, 2011–2013

Complete Statement:

In the period 2011-2013, according to the graph, the inflation-adjusted euro value of quarterly GDP was least in [BLANK].

Breaking Down the Statement
  • Statement Breakdown 1:
    • Key Phrase: In the period 2011-2013
    • Meaning: This limits the analysis to quarterly values from 2011, 2012, and 2013 only.
    • Relation to Chart: There are 4 quarters per year, for each year from 2011 to 2013—12 bars/points total to check.
    • Important Implications: Only data from these years are relevant.
  • Statement Breakdown 2:
    • Key Phrase: inflation-adjusted euro value of quarterly GDP was least
    • Meaning: We're being asked which quarter had the smallest (lowest) GDP compared to the Q4 2010 baseline.
    • Relation to Chart: The vertical bar that is lowest, i.e., with the largest negative percent difference.
    • Important Implications: Look for the most negative value on the graph.

What is needed: The quarter from 2011–2013 with the most negative percent difference from Q4 2010 GDP.

Solution:
  • Condensed Solution Implementation:
    Compare the percent differences for all 12 quarters in 2011-2013 and select the one with the lowest value.
  • Necessary Data points:
    From the graph: 2011 Q1: \(\mathrm{1.1\%}\), Q2: \(\mathrm{0.3\%}\), Q3: \(\mathrm{4.8\%}\), Q4: \(\mathrm{5.1\%}\). 2012 Q1: \(\mathrm{-1.0\%}\), Q2: \(\mathrm{0.9\%}\), Q3: \(\mathrm{2.0\%}\), Q4: \(\mathrm{-0.5\%}\). 2013 Q1: \(\mathrm{-2.3\%}\), Q2: \(\mathrm{-3.7\%}\), Q3: \(\mathrm{2.5\%}\), Q4: \(\mathrm{1.5\%}\).
    • Calculations Estimations:
      Upon review, Q2 2013 at \(\mathrm{-3.7\%}\) is the lowest value. Confirm no other quarter is lower.
    • Comparison to Answer Choices:
      Among possible quarters (Q2 2011, Q4 2012, Q2 2013), Q2 2013 matches the minimum and is the correct answer.
FINAL ANSWER Blank 1: Q2 of 2013

Question 2: Calculating the Median of Percent Differences (2011–2013)

Complete Statement:

To the nearest \(\mathrm{0.1\%}\), 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 [BLANK] percent.

Breaking Down the Statement
  • Statement Breakdown 1:
    • Key Phrase: median of the percent differences
    • Meaning: Find the value in the middle when all 12 quarterly percent differences are arranged in order.
    • Relation to Chart: All 12 quarterly percent differences must be sorted in order to find the median.
  • Statement Breakdown 2:
    • Key Phrase: To the nearest \(\mathrm{0.1\%}\)
    • Meaning: Round your final answer to one decimal place.
    • Relation to Chart: Guides the rounding of your result from the calculation.

What is needed: The median percent difference among all 12 quarterly values, rounded to the nearest \(\mathrm{0.1\%}\).

Solution:
  • Condensed Solution Implementation:
    List all 12 quarterly percent differences, sort them, and find the middle two (6th and 7th), then average them.
  • Necessary Data points:
    Sorted values (approximate): \(\mathrm{-3.7\%, -2.3\%, -1.0\%, -0.5\%, 0.3\%, 0.9\%, 1.1\%, 1.5\%, 2.0\%, 2.5\%, 4.8\%, 5.1\%}\). 6th and 7th values are \(\mathrm{0.9\%}\) and \(\mathrm{1.1\%}\).
    • Calculations Estimations:
      Median = \(\mathrm{(0.9\% + 1.1\%) / 2 = 1.0\%}\).
    • Comparison to Answer Choices:
      Answer choices: 1.0, 1.3, 1.8. The calculation matches 1.0.
FINAL ANSWER Blank 2: 1.0

Summary

Reviewing all percent differences for quarterly GDP in 2011–2013, the least value appears in Q2 of 2013 (\(\mathrm{-3.7\%}\)). Sorting the 12 differences and averaging the 6th and 7th values gives a median of \(\mathrm{1.0\%}\), rounded to the nearest \(\mathrm{0.1\%}\).

Question Independence Analysis

These two questions are independent: one requires identifying the minimum, and the other calculating the median, with no steps or results needed from one to complete the other.

Answer Choices Explained
In the period 2011-2013, according to the graph, the inflation-adjusted euro value of quarterly GDP was least in
1A
Q2 of 2011
1B
Q4 of 2012
1C
Q2 of 2013
.
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
2A
1.0
2B
1.3
2C
1.8
percent.
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