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A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?

Correct answer: C. 5550

  • A. 6060
  • B. 7070
  • C. 5550
  • D. 4440

Explanation

The monthly production forms an arithmetic sequence: January is 5000 tonnes and December is 5000 + 11 x 100 = 6100 tonnes. Its average is (5000 + 6100) / 2 = 5550 tonnes per month. The likely mistake is choosing 6060 tonnes by using the wrong number of monthly increases.

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An average represents the total of a set of values divided by the number of values, and a weighted average gives different importance to different groups. Problems involve missing values, combined averages, replacement of observations, and changes in the average, so the total and count must be tracked separately.

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