Question

karen took three samples from a population of students to measure their average study time. compute the variation of each predicted population mean from the sample means in the table.

sample	predicted mean	actual mean
sample 2	15	28
sample 3	29	28

sample 1:
sample 2:
sample 3:

Explanation:

Step1: Calculate variation for Sample 1

The variation is the absolute - value of the difference between the predicted mean and the actual mean. For Sample 1, the predicted mean is 34 and the actual mean is 28. The formula for variation $V=\vert\text{Predicted Mean}-\text{Actual Mean}\vert$. So, $V_1=\vert34 - 28\vert=6$.

Step2: Calculate variation for Sample 2

For Sample 2, the predicted mean is 15 and the actual mean is 28. Using the formula $V=\vert\text{Predicted Mean}-\text{Actual Mean}\vert$, we have $V_2=\vert15 - 28\vert=\vert- 13\vert = 13$.

Step3: Calculate variation for Sample 3

For Sample 3, the predicted mean is 29 and the actual mean is 28. Using the formula $V=\vert\text{Predicted Mean}-\text{Actual Mean}\vert$, we get $V_3=\vert29 - 28\vert=1$.

Answer:

Sample 1: 6
Sample 2: 13
Sample 3: 1