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.
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.
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