Difference between revisions of "2010 AMC 8 Problems/Problem 4"
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==Problem== | ==Problem== | ||
| − | What is the sum of the mean, | + | What is the sum of the mean, median, and mode of the numbers <math>2,3,0,3,1,4,0,3</math>? |
<math> \textbf{(A)}\ 6.5 \qquad\textbf{(B)}\ 7\qquad\textbf{(C)}\ 7.5\qquad\textbf{(D)}\ 8.5\qquad\textbf{(E)}\ 9 </math> | <math> \textbf{(A)}\ 6.5 \qquad\textbf{(B)}\ 7\qquad\textbf{(C)}\ 7.5\qquad\textbf{(D)}\ 8.5\qquad\textbf{(E)}\ 9 </math> | ||
| Line 7: | Line 7: | ||
Putting the numbers in numerical order we get the list <math>0,0,1,2,3,3,3,4.</math> | Putting the numbers in numerical order we get the list <math>0,0,1,2,3,3,3,4.</math> | ||
The mode is <math>3.</math> The median is <math>\frac{2+3}{2}=2.5.</math> The average is <math>\frac{0+0+1+2+3+3+3+4}{8}=\frac{16}{8}=2.</math> The sum of all three is <math>3+2.5+2=\boxed{\textbf{(C)}\ 7.5}</math> | The mode is <math>3.</math> The median is <math>\frac{2+3}{2}=2.5.</math> The average is <math>\frac{0+0+1+2+3+3+3+4}{8}=\frac{16}{8}=2.</math> The sum of all three is <math>3+2.5+2=\boxed{\textbf{(C)}\ 7.5}</math> | ||
| + | |||
| + | == Video Solution by OmegaLearn == | ||
| + | https://youtu.be/51K3uCzntWs?t=209 | ||
| + | |||
| + | ~ pi_is_3.14 | ||
| + | |||
| + | |||
| + | ==Video by MathTalks== | ||
| + | |||
| + | https://youtu.be/EEbksvfujhk | ||
| + | |||
| + | ==Video Solution by WhyMath== | ||
| + | https://youtu.be/Bxscjb2WaSw | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2010|num-b=3|num-a=5}} | {{AMC8 box|year=2010|num-b=3|num-a=5}} | ||
| + | {{MAA Notice}} | ||
Latest revision as of 10:24, 18 November 2024
Contents
Problem
What is the sum of the mean, median, and mode of the numbers 
?
Solution
Putting the numbers in numerical order we get the list 
The mode is 
The median is 
The average is 
The sum of all three is 
Video Solution by OmegaLearn
https://youtu.be/51K3uCzntWs?t=209
~ pi_is_3.14
Video by MathTalks
Video Solution by WhyMath
See Also
| 2010 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 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 AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
