I have a 6 sided dice with numbers 1 to 6 written on faces.
What number(s) would have to show up if you rolled the die five times in order to have the smallest possible standard deviation?
What number(s) would have to show up if you rolled the die 5 times in order to have the largest possible standard deviation?
If no repeats were allowed in first question what would answer be? Meaning you ignore a repeat number and roll again.