Question

Which of the following sets of numbers have the same mean, median, and mode?

10, 6, 4, 2, 8
3, 5, 8, 4, 5
5, 1, 2, 2, 5
2, 6, 8, 6, 3

Answer 1

Put them in order:
So for 10, 6, 4, 2, 8
• 2 4 6 8 10
Mean: 2+4+6+8+10 = 30 / 5 (as there is 5 values) = 6
Median: (middle number) so 6
Mode: (most common number) there is no clear mode

3, 5, 8, 4, 5
• 3 4 5 5 8
Mean: 3+4+5+5+8 = 25 / 5 = 5
Median: 5
Mode: 5

5, 1, 2, 2, 5
• 1 2 2 5 5
Mean: 1+2+2+5+5 = 15 / 5 = 3
Median: 2
Mode: 2 and 5

2, 6, 8, 6, 3
• 2 3 6 6 8
Mean: 2+3+6+6+8 = 25 / 5 = 5
Median: 6
Mode: 6

Therefore the only option where the mean, median and mode is the same is option: 3, 5, 8, 4, 5 where they all equal to 5.

Hope this helps! :)