AMC8 2010

AMC8 2010 · Q4

AMC8 2010 · Q4. It mainly tests Averages (mean).

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

数字2, 3, 0, 3, 1, 4, 0, 3的均值、中位数和众数的和是多少？

(A) 6.5 6.5

(B) 7 7

(D) 8.5 8.5

(E) 9 9

Answer

Correct choice: (C)

正确答案：（C）

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 $3+2.5+2=\boxed{\textbf{(C)}\ 7.5}$

将数字按数值排序得到列表$0,0,1,2,3,3,3,4$。众数是$3$。中位数是$\frac{2+3}{2}=2.5$。平均数是$\frac{0+0+1+2+3+3+3+4}{8}=\frac{16}{8}=2$。三者之和是$3+2.5+2=\boxed{\textbf{(C)}\ 7.5}$

Topics

AR.006 Averages (mean)