Difference between revisions of "2010 AMC 8 Problems/Problem 4"

(Problem)
(Solution)
Line 5: Line 5:
  
 
==Solution==
 
==Solution==
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 0,0,1,2,3,3,3,4
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 3 The median is (2+3)/2=2.5 The average is (0+0+1+2+3+3+3+4)/8=16/8=2 The sum of all three is 3+2.5+2=7.5
  
 
==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}}
 
{{MAA Notice}}

Revision as of 12:17, 15 August 2021

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 (2+3)/2=2.5 The average is (0+0+1+2+3+3+3+4)/8=16/8=2 The sum of all three is 3+2.5+2=7.5

See Also

2010 AMC 8 (ProblemsAnswer KeyResources)
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. AMC logo.png