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 Post subject: A question: statistics, an average value
PostPosted: Fri Feb 24, 2012 9:22 am 
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Joined: Mon Feb 20, 2012 2:05 am
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Lynnelle took 10 tests in her math class at Stanford. Her score on each test was an integer from 0 through 100. She noticed that, for every four consecutive tests, her average score on those four tests was at most 47.5. What is the largest possible average score she could have on all 10 tests?


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 Post subject: Re: A question: statistics, an average value
PostPosted: Sat Feb 25, 2012 12:02 pm 
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Joined: Sun May 30, 2010 2:23 am
Posts: 498
The key phrase in the question to start with is
Quote:
her average score on those four tests was at most 47.5

There are two approaches:
- Imagine you can put any score numbers within the question requirements. Try maximizing the sum.
- When you see "average" you should think of the total sum that corresponds to this average.


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