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In a 500-day simulated currency-trading contest, three teams-Teams A, B, and C-applied automated currency-trading algorithms as the exchange rate data...

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Currency trading contest data visualization

In a 500-day simulated currency-trading contest, three teams-Teams A, B, and C-applied automated currency-trading algorithms as the exchange rate data were streamed to their computers in real time. At the end of each day, each team's simulated balance (full-balance), in USD, was recorded. The contest was decided on the basis of these full-balances and their associated half-balances (0.5 times the corresponding full-balance). At the end of Day 500, the teams reported their full-balance and half-balance histories as well as their 500-day average full-balance. This information is shown in the graph. The winner of the contest was to be the team that earned the greatest number of the following points: 1 point for having at least one half-balance that exceeded another team's same-day full-balance on at least one day; 1 point for having the greatest 500-day full-balance average; and 1 point for having the greatest full-balance at the end of at least 80% of the days. In the event of a tie, the team with the greatest 500-day full-balance average was to be declared the winner.

Select from each drop-down menu the option that creates the most accurate statement.
In the contest, Team
was declared the winner after winningpoints.
Solution

Owning The Dataset

Table 1: Text Analysis

Text Component Literal Content Simple Interpretation
Contest Duration "500-day simulated currency-trading contest" The contest lasted 500 days
Teams "three teams-Teams A, B, and C" Three teams (A, B, C) participated
Trading Method "applied automated currency-trading algorithms as the exchange rate data were streamed to their computers in real time" Teams used automated programs to trade using live currency data
Balances Recorded "At the end of each day, each team's simulated balance (full-balance), in United States dollars (USD), was recorded, along with the half-balance (0.5 times the corresponding full-balance)" Daily tracking of each team's full- and half-balances in USD
Scoring Point 1 "1 point for having at least one half-balance that exceeded another team's same-day full-balance on at least one day" A team scores 1 point if their half-balance beats another's full-balance even once
Scoring Point 2 "1 point for having the greatest 500-day full-balance average" A team with the highest average full-balance over 500 days gets 1 point
Scoring Point 3 "1 point for having the greatest full-balance at the end of at least 80% of the days (at least 400 of the days)" Team with the most daily wins (\(\geq 400\) days) gets 1 point
Tiebreaker "In the event of a tie, the team with the greatest 500-day full-balance average was to be declared the winner." If points are tied, the team with the highest average wins

Table 2: Chart Analysis

Chart Element Description Interpretation
Line Chart 6 lines: 3 teams (A,B,C) × (full-balance, half-balance) Tracks balances of each team daily for 500 days
X-axis Days 0–500 Contest spans 500 days
Y-axis USD range 0–300 All balances remain below $300
Reference Lines 3 horizontal: team full-balance averages ($180–$190) Indicates long-term performance; B highest, A middle, C lowest average
Team A (black) Highly volatile, peaking near $290 on day ~250 Large swings, high risk/high reward strategy
Team B (red/orange) Steady, gradual growth from $100 to $260 Most consistent and stable gain
Team C (cyan) Initial sharp drop to $60, strong recovery to nearly $280 Poor start, strong finish
Half-balance crossovers Several thin (half-balance) lines cross above thick (other teams' full-balance) lines Each team likely achieved the 'half-balance exceeds another's full-balance' condition

Key Insights

Team B demonstrated the highest consistency and achieved the top 500-day average balance, suggesting it earned at least one scoring point and holds the tiebreaker. Team B also appears to have led in balance for the majority (>80%) of days. Team C, after a poor start, dramatically rebounded, and its half-balance overtook other teams' full balances during the late contest, likely earning the crossover point. All three teams' half-balances overtook at least one competitor's full-balance at various points. Team A displayed the highest volatility, sometimes outpacing others, but its average and stability were weaker than team B's.

Step-by-Step Solution

Question 1: Identifying the Winner of the Contest

Complete Statement:

In the contest, Team [BLANK 1] was declared the winner

Breaking Down the Statement
  • Statement Breakdown 1:
    • Key Phrase: In the contest
      _ Meaning: Refers to the 500-day simulated currency-trading competition among Teams A, B, and C.
      _ Relation to Chart: The chart shows the performance (balances) of all three teams throughout the contest.
      _ Important Implications: We need to consider all teams' results over the 500 days and use the contest scoring rules to decide the winner.
  • Statement Breakdown 2:
    • Key Phrase: was declared the winner
      _ Meaning: The team that earned the most points according to the three criteria set by the contest rules wins.
      _ Relation to Chart: To determine the winner, check the three criteria using the visual data: half-balance crossings, 500-day balances (reference lines), and daily leadership.
      _ Important Implications: We must estimate which team gained the most points based on visible features of the chart.
  • What is needed: Which team (A, B, or C) was the contest winner according to the points earned from the three criteria.
Solution:
  • Condensed Solution Implementation:
    Estimate each team's performance using the chart. First, compare the reference lines for 500-day averages, which hover at about $190 for Team A and about $180 for Teams B and C. Next, check for instances where a team's half-balance line crossed above another team's full-balance line: all teams display such crossings during the contest. Finally, evaluate which team's balance was the highest for the most days: Team A leads for roughly the first and last 150 days, while Team B leads for the middle portion. Overall, Team A leads for the majority of days.
  • Necessary Data points:
    Team A's 500-day average is about $190, higher than Teams B and C (about $180 each). Team A's half-balance line clearly crosses above full-balance lines. Team A's full-balance line is on top at the beginning and end of the period.
    _ Calculations Estimations:
    Team A leads for about 300 out of 500 days, but the requirement is at least 400 days (80%) for that scoring point. However, Team A definitively satisfies two criteria: highest average and at least one half-balance crossover.
    _ Comparison to Answer Choices:
    Among the choices, Team A is the only team that consistently achieves the highest average and at least one half-balance crossover, making Team A the clear winner.
FINAL ANSWER Blank 1: A

Question 2: Calculating Points Earned by the Winner

Complete Statement:

after winning [BLANK 2] points

Breaking Down the Statement
  • Statement Breakdown 1:
    • Key Phrase: after winning [BLANK 2] points
      _ Meaning: We are to find the total points Team A earned in the contest from the three possible criteria.
      _ Relation to Chart: Check, using the chart, how many criteria Team A fulfilled: (1) half-balance crossing, (2) highest 500-day average, (3) led for at least 80% of the days.
  • What is needed: How many contest points (out of 3) Team A earned.
Solution:
  • Condensed Solution Implementation:
    Go through each criterion: Criterion 1—Team A's half-balance line crosses above other teams' full-balance lines. Criterion 2—Team A clearly has the highest 500-day average. Criterion 3—Team A led more days than Team B or C but likely not 80% of the days (not at least 400 out of 500 days). So, Team A fulfills two out of three criteria.
  • Necessary Data points:
    Half-balance crossovers: present for Team A. 500-day average reference line: highest for Team A. Days led: estimate about 300/500 for Team A.
    _ Calculations Estimations:
    Team A fulfills criteria 1 and 2, but not criterion 3. So, Team A earns exactly 2 points.
    _ Comparison to Answer Choices:
    Choices are 1, 2, or 3 points. 2 points is correct based on the approximation and the condensed solution.
FINAL ANSWER Blank 2: 2

Summary

Team A is the winner of the contest, earning 2 points: one for achieving the highest 500-day average and one for having its half-balance cross another team's full-balance at some point. Team A did not lead for 80% of the contest days, so it did not earn a third point.

Question Independence Analysis

The questions are dependent. The second blank requires knowing which team won (from the first blank) to determine how many points that winning team earned.

Answer Choices Explained
In the contest, Team
1
A
2
B
3
C
was declared the winner after winning
1
1
2
2
3
3
points.
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