Statistics Math Help

Question

A die is rolled 30 times, and the value on top of the die recorded.

This produces the following results:

Value # Occurences

1 6

2 4

3 2

4 5

5 8

6 5

(a) For this data, compute the mean value on the die in this experiment.

(b) Now, compute the expected value for this experiment.

Answer 1

To find the mean, multiply each value by the number of occurrences. Sum those products and then divide by the total number of occurrences.

Value #Occurrences value*occurrences

1 6 6

2 4 8

3 2 6

4 5 20

5 8 40

6 5 30

30 110

110 / 30 = 3.67 rounded to two decimal places

Expected value is another name for mean, to the expected value is also 3.67.