QUESTION IMAGE
Question
fiona recorded the mean math exam grade for six random samples of students from the entire seventh - grade class.
| sample | sample mean grade |
|---|---|
| 2 | 92 |
| 3 | 78 |
| 4 | 45 |
| 5 | 95 |
| 6 | 70 |
why is a valid prediction for the mean of the population not possible using these samples?
○ fiona had too many samples.
○ fiona didnt have enough samples.
○ the variation of fionas samples is too large.
○ the variation of fionas samples is too small.
To predict the population mean accurately, sample means should have low variation (cluster closely). Here, the sample means range from 45 to 95, showing extremely high spread. This large variation means the samples do not consistently reflect the population, so a valid prediction cannot be made.
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The variation of Fiona's samples is too large.