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SAT Question of the Day

SAT Question of the Day

Answer today's SAT question, reveal the full explanation, then keep the streak going with a new question every day.

The mean of 5 test scores is 14, and the mean of another set of 7 test scores is 20. When the two sets are combined along with one additional score xxx, the mean of all the scores becomes 18. What is the value of xxx?

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Question of the Day

The mean of 5 test scores is 14, and the mean of another set of 7 test scores is 20. When the two sets are combined along with one additional score xxx, the mean of all the scores becomes 18. What is the value of xxx?

  1. 22
  2. 24 (correct answer)
  3. 26
  4. 28

Explanation: Combined total needed is 13×18 = 234; known totals are 5×14 = 70 and 7×20 = 140, so x=234−(70+140)=24x = 234 − (70 + 140) = 24x=234−(70+140)=24. Other choices result from arithmetic slips.