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Find the average number of satellites launched by Ireland, Belgium and Norway.
3500
3200
3000
2800
None of the above
3000
Calculate the average percentage first: 330+20+25тАЛ=25%. Then calculate 25% of the total: 12000├Ч0.25=3000.
Total number of satellites is 12000. The percentages for Ireland, Belgium, and Norway are 30%, 20%, and 25% respectively.
Average=nтИСi=1nтАЛxiтАЛтАЛ
Calculate the average percentage first: 330+20+25тАЛ=25%. Then calculate 25% of the total: 12000├Ч0.25=3000.
Calculating the individual values first and summing them up is more prone to arithmetic errors than averaging the percentages first.
Identify percentage values
From the provided pie chart, Ireland = 30%, Belgium = 20%, and Norway = 25%.
PTotalтАЛ=30%+20%+25%=75%
Calculate average percentage
Divide the sum of percentages by the number of countries.
PAvgтАЛ=375%тАЛ=25%
Calculate average number of satellites
Multiply the average percentage by the total number of satellites (12000).
Average=12000├Ч0.25=3000
C is correct because the average percentage is 25% of 12000, which equals 3000.
Averaging percentages first is a powerful time-saving technique in data interpretation whenever the base value (Total) is constant across all categories.
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