A community organization takes 3 random samples of college students and asks them how much they spend on groceries per week. The data they collected is shown in the table below.
$ on Groceries
Sample Data
1 60, 50, 100, 80, 92
2 40, 75, 38, 83, 92
3 53, 64, 72, 81, 48
Determine the range of the sample means for this data.
To determine the range of the sample means, we first need to calculate the mean for each sample and then find the range of those sample means.
Sample 1 mean: (60 + 50 + 100 + 80 + 92) / 5 = 76.4
Sample 2 mean: (40 + 75 + 38 + 83 + 92) / 5 = 65.6
Sample 3 mean: (53 + 64 + 72 + 81 + 48) / 5 = 63.6
Now, we find the range of the sample means:
Range = Maximum sample mean - Minimum sample mean
Range = 76.4 - 63.6
Range = 12.8
Therefore, the range of the sample means for this data is 12.8.