Difference between revisions of "2019 AMC 10B Problems/Problem 13"
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| − | + | ==Problem== | |
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| + | What is the sum of all real numbers <math>x</math> for which the median of the numbers <math>4,6,8,17,</math> and <math>x</math> is equal to the mean of those five numbers? | ||
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| + | <math>\textbf{(A) } -5 \qquad\textbf{(B) } 0 \qquad\textbf{(C) } 5 \qquad\textbf{(D) } \frac{15}{4} \qquad\textbf{(E) } \frac{35}{4}</math> | ||
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| + | ==See Also== | ||
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| + | {{AMC10 box|year=2019|ab=B|num-b=12|num-a=14}} | ||
| + | {{MAA Notice}} | ||
Revision as of 12:08, 14 February 2019
Problem
What is the sum of all real numbers 
for which the median of the numbers 
and is equal to the mean of those five numbers?
See Also
| 2019 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
