Over all the given years, the average export of country E is _______ % more…
2024
Over all the given years, the average export of country E is _______ % more than the average export of country C.
Answer: A. \(13\frac{7}{11}\) — ConceptAn average is the total of all observations divided by the number of observations. To compare one average with another as a percentage, first find each…
- A.
\(13\frac{7}{11}\)
- B.
\(9\frac{1}{11}\)
- C.
\(13\frac{5}{7}\)
- D.
\(12\frac{1}{7}\)
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Correct answer: A
Concept
An average is the total of all observations divided by the number of observations.
To compare one average with another as a percentage, first find each average using total divided by number of observations. Then use: percentage more = (difference divided by the reference average) multiplied by 100.
Application
Country E total = 120 + 100 + 110 + 200 + 220 = 750, so its five-year average is 750 divided by 5 = 150.
Country C total = 100 + 110 + 140 + 180 + 130 = 660, so its five-year average is 660 divided by 5 = 132.
Difference between the averages = 150 - 132 = 18.
Percentage more = (18 divided by 132) multiplied by 100 = (3 divided by 22) multiplied by 100 = 150 divided by 11 percent = 13 7/11 percent.
Cross-check
Increasing the reference average 132 by 13 7/11 percent adds 132 multiplied by 3/22 = 18, giving 150, which matches the average for country E. Therefore, the required percentage is 13 7/11 percent.