Let's go through the problem step by step to determine the mean value of each sample and identify which sample has the greatest mean.
First, let's calculate the mean (average) for each sample. The mean is determined by summing the values of the rolls in the sample and then dividing by the number of rolls in the sample (which is 5 in this case).
Sample 1:
Values: 4, 5, 2, 4, 3
Sum = 4 + 5 + 2 + 4 + 3 = 18
Mean = Sum / Number of Rolls = 18 / 5 = 3.6
Sample 2:
Values: 2, 2, 6, 5, 6
Sum = 2 + 2 + 6 + 5 + 6 = 21
Mean = Sum / Number of Rolls = 21 / 5 = 4.2
Sample 3:
Values: 4, 6, 3, 4, 2
Sum = 4 + 6 + 3 + 4 + 2 = 19
Mean = Sum / Number of Rolls = 19 / 5 = 3.8
Sample 4:
Values: 5, 2, 4, 3, 6
Sum = 5 + 2 + 4 + 3 + 6 = 20
Mean = Sum / Number of Rolls = 20 / 5 = 4.0
Now, let's compare the means:
- Mean of Sample 1: 3.6
- Mean of Sample 2: 4.2
- Mean of Sample 3: 3.8
- Mean of Sample 4: 4.0
Among the four samples, the sample with the greatest mean is Sample 2 with a mean of 4.2.
Therefore, Sample 2 will result in the greatest mean.
