The tables below show the number of pencils brought in by students in Group E and Group F. Which statement best compares the standard deviations of the number of pencils brought in by each student for these two groups?
Group E:
| Number of pencils (x) | Frequency |
|---|---|
| 1 | 1 |
| 2 | 2 |
| 3 | 2 |
| 4 | 3 |
| 5 | 4 |
| 6 | 5 |
| 7 | 6 |
Group F:
| Number of pencils (x) | Frequency |
|---|---|
| 8 | 1 |
| 9 | 2 |
| 10 | 2 |
| 11 | 3 |
| 12 | 4 |
| 13 | 5 |
| 14 | 6 |
The standard deviation for Group E is less than for Group F.
The standard deviation for Group E is equal to the standard deviation for Group F.
The standard deviation for Group E is greater than for Group F.
There is not enough information to compare these standard deviations.
