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Mean after a new observation

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The mean of quotes is . After a sixth quote is added, the mean of all quotes becomes . What is the sixth quote?

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A whole number, a decimal, a fraction like 3/8 or a percent.

Hint

Compare the total sums before and after.

Solution
  1. The first quotes sum to .
  2. All quotes sum to .
  3. The sixth quote is the difference , so the answer is .

Answer: