# Will mode and median change?

1. Sep 29, 2005

### yukcream

Will the median and mode change if the mean and strandard deviation change?

2. Sep 29, 2005

### HallsofIvy

They might, they might not. "mean" is one measure of "central tendency", median and mode are others. It is easy to think up examples of collections of data that have different means but the same median and mode. It's even easier to think up examples of collections of data in which all three are different.

3. Sep 29, 2005

### CRGreathouse

mean(1,1,1,1,5,6,7,8,9) = 39/9 = 4.3333...
median(1,1,1,1,5,6,7,8,9) = 5
mode(1,1,1,1,5,6,7,8,9) = 1

mean(1,1,1,2,5,6,7,8,9) = 40/9 = 4.4444...
median(1,1,1,2,5,6,7,8,9) = 5
mode(1,1,1,2,5,6,7,8,9) = 1

mean(1,1,2,2,2,6,7,8,9) = 38/9 = 4.2222...
median(1,1,2,2,2,6,7,8,9) = 2
mode(1,1,2,2,2,6,7,8,9) = 2

mean(1,2,2,2,2,6,7,8,9) = 39/9 = 4.3333...
median(1,2,2,2,2,6,7,8,9) = 2
mode(1,2,2,2,2,6,7,8,9) = 2

4. Sep 30, 2005

### HallsofIvy

And, by the way, standard deviation has nothing to do with mean, median, or mode!