Question 1194617: Check if the table is correct by listing all the possible sample and the corresponding means.
Problem: a population consist of the five numbers 2,4,6 and 8. Consider samples of size 2 that can be drawn from the population.
Sample mean - 3,4,5,6,7
Frequency - 1,1,2,1,1
Probability P - 1/6,1/6,1/3,1/6,1/6
Answer by yurtman(42)   (Show Source):
You can put this solution on YOUR website! **1. List all possible samples of size 2:**
* (2, 4)
* (2, 6)
* (2, 8)
* (4, 6)
* (4, 8)
* (6, 8)
**2. Calculate the mean of each sample:**
* (2, 4): Mean = (2 + 4) / 2 = 3
* (2, 6): Mean = (2 + 6) / 2 = 4
* (2, 8): Mean = (2 + 8) / 2 = 5
* (4, 6): Mean = (4 + 6) / 2 = 5
* (4, 8): Mean = (4 + 8) / 2 = 6
* (6, 8): Mean = (6 + 8) / 2 = 7
**3. Create a table of sample means and their frequencies:**
| Sample Mean | Frequency | Probability (P) |
|---|---|---|
| 3 | 1 | 1/6 |
| 4 | 1 | 1/6 |
| 5 | 2 | 1/3 |
| 6 | 1 | 1/6 |
| 7 | 1 | 1/6 |
**Conclusion:**
The provided table is **incorrect**. The correct frequencies and probabilities for the sample means are as shown above.
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