You have to decide the criteria for fairness: one standard deviation, two standard deviations?
To calculate the standard deviation of those numbers:
Work out the Mean (the simple average of the numbers): Mean 50
Then for each number: subtract the Mean and square the result.:
49,1,36,25,256,81
Then work out the mean of those squared differences.74.6
Take the square root of that and we are done! sigma=8.6
under criteria of one standard deviation, it is biased to give a 5
I am trying to determine if the dice that I have is fair, so I will toss the dice 300 times and measure how many times each side appears. Here are my results:
Side : Frequency
1 : 43
2 : 49
3 : 56
4 : 45
5 : 66
6 : 41
Looking at the data, is the dice considered “fair” meaning that each side has an equal chance of appearing?
Did I throw the dice enough times to make this determination?
Why aren’t all of the sides equal to each other?
1 answer