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11 Jun 2024, 03:15
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Dropdown 1: Y
Dropdown 2: Z
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During the last decade, the mean life expectancy in a certain country was a constant 75 years. In this country, epidemics occurred in Years X, Y, and Z of this period. The graph gives mortality data for each of the epidemics, showing both the numbers of deaths and the numbers of years of life lost as a result of those deaths.
In the following statements, which pertain only to Years X, Y, and Z, average refers to the arithmetic mean.
Use the drop-down menus to create the most accurate statements based on the information provided.
The year with the greatest number of deaths was .
The year with the greatest average number of years of life lost per death was .
ID: 100382
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Dropdown 1: Y
Dropdown 2: Z
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Oppenheimer1945
Joined: 16 Jul 2019
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Schools: INSEAD '26 (D) ISB '27 (D) IIMB '26 (A) IIMA '26 (A) HEC '26 (D) LBS '26 IESE '27 (D) Fuqua '27 (WL) Tepper '27 (WL)
GMAT Focus 1: 645 Q90 V76 DI80 
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Schools: INSEAD '26 (D) ISB '27 (D) IIMB '26 (A) IIMA '26 (A) HEC '26 (D) LBS '26 IESE '27 (D) Fuqua '27 (WL) Tepper '27 (WL)
GMAT Focus 1: 645 Q90 V76 DI80
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12 Jun 2024, 02:16
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1) Year Y has 150,000 deaths, Hence the highest
2) Take ratios: 2,000,000/5,000 is the highest . hence Z
2) Take ratios: 2,000,000/5,000 is the highest . hence Z
23 Jan 2025, 12:56
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1. The question asks us to find the greatest number of deaths and the greatest ratio between the average number of years of life lost and the number of deaths.
2. Years X, Y, and Z have 87000, 150000, and 50000 deaths. The greatest number of deaths is 150000, which is in the year Y.
3. Let's calculate the ratios:
- Year X. Ratio = \(\frac{1750000}{87000} \approx 20.11\).
- Year Y. Ratio = \(\frac{2250000}{150000} = 15\).
- Year Z. Ratio = \(\frac{2000000}{50000} = 40\).
Year Z has the greatest ratio of all three years.
4. Our answer will be: D1 - Y and D2 - Z.
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Another way to find the greatest ratio is to see that Year Z is easy to calculate - \(\frac{2000000}{50000} = 40\). Year Y has 3 times more deaths but not as much number of years of life lost, so the ratio will be smaller. Year X has more deaths but less number of years of life lost, so the ratio will also be smaller.
2. Years X, Y, and Z have 87000, 150000, and 50000 deaths. The greatest number of deaths is 150000, which is in the year Y.
3. Let's calculate the ratios:
- Year X. Ratio = \(\frac{1750000}{87000} \approx 20.11\).
- Year Y. Ratio = \(\frac{2250000}{150000} = 15\).
- Year Z. Ratio = \(\frac{2000000}{50000} = 40\).
Year Z has the greatest ratio of all three years.
4. Our answer will be: D1 - Y and D2 - Z.
----------------------------------------------------
Another way to find the greatest ratio is to see that Year Z is easy to calculate - \(\frac{2000000}{50000} = 40\). Year Y has 3 times more deaths but not as much number of years of life lost, so the ratio will be smaller. Year X has more deaths but less number of years of life lost, so the ratio will also be smaller.
