2010 AMC 8 Problems/Problem 4

Problem

What is the sum of the mean, median, and mode of the numbers $2,3,0,3,1,4,0,3$ ?

$\textbf{(A)}\ 6.5 \qquad\textbf{(B)}\ 7\qquad\textbf{(C)}\ 7.5\qquad\textbf{(D)}\ 8.5\qquad\textbf{(E)}\ 9$

Solution

Putting the numbers in numerical order we get the list $0,0,1,2,3,3,3,4.$ The mode is $3.$ The median is $\frac{2+3}{2}=2.5.$ The average is $\frac{0+0+1+2+3+3+3+4}{8}=\frac{16}{8}=2.$ The sum of all three is $3+2.5+2=\boxed{\textbf{(C)}\ 7.5}$

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

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.

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