Question

averaging the numbers rolled on a number cube
micah rolled a number cube and recorded the average of the values
what would happen to the average if micah continued to roll the number cube?
the average would keep
increasing.
the average would not
follow any pattern.
the average would keep
decreasing
the average would
approach a set value

Explanation:

Step1: Recall the law of large numbers

The law of large numbers states that as the number of trials (in this case, rolls of the number cube) increases, the sample mean (average value) approaches the population mean.

Step2: Calculate the population mean of a number - cube

A standard number cube has values \(1,2,3,4,5,6\). The population mean \(\mu=\frac{1 + 2+3+4+5+6}{6}=\frac{21}{6}=3.5\)

Answer:

The average would approach a set value.