In how many years, the supply (in million ton) of rice was more than t

In how many years, the supply (in million ton) of rice was more than the average supply for 2008 to 2013 ?

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This question was previously asked in
UPSC CAPF – 2014
We need to find the number of years from 2008 to 2013 where the supply (Production) of rice was more than the average supply for this period (2008-2013).
– Period is 2008 to 2013 (6 years).
– Production (Supply) values: 2008=108, 2009=100, 2010=104, 2011=107, 2012=103, 2013=105.
– Total production = 108 + 100 + 104 + 107 + 103 + 105 = 627 million tonnes.
– Average supply = Total production / Number of years = 627 / 6 = 104.5 million tonnes.
– Now, count the years where production > 104.5:
– 2008: 108 (> 104.5) – Yes
– 2009: 100 (< 104.5) - No - 2010: 104 (< 104.5) - No - 2011: 107 (> 104.5) – Yes
– 2012: 103 (< 104.5) - No - 2013: 105 (> 104.5) – Yes
– There are 3 such years (2008, 2011, 2013). This matches option A and the official answer key.
Calculate the average supply (production) over the specified period (2008-2013). Then, iterate through the years in the period and count how many years had a supply value greater than this average.
This question involves calculating an average over one period and then using it as a threshold to count items in the same period. Pay attention to whether the comparison is “more than”, “at least”, etc.
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