AMC 10 Step by Step
Log inSign up
Printable

2000 AMC 10 Problem 23

Include the solutionBack to the problem
2000 AMC 10 Problem 23AMC 10 Step by Step
Name:                             Date: September 13, 2026
Statistics & Data · difficulty 4 of 5 · about 7 min · position P21-25

When the mean, median, and mode of the list

10,2,5,2,4,2,x10,2,5,2,4,2,x

are arranged in increasing order, they form a non-constant arithmetic progression. What is the sum of all possible real values of xx ?

  1. A)

    33

  2. B)

    66

  3. C)

    99

  4. D)

    1717

  5. E)

    2020

Working