Sure, let's go through each question step by step.
### 1) Find the modal age of boys.
To find the modal age (the age that appears most frequently) of the boys:
- The ages of the boys are: 12, 9, 10, 12, 10, 12, 11, 12, 9, 10.
Count the occurrences of each age:
- Age 9: 2 times
- Age 10: 3 times
- Age 11: 1 time
- Age 12: 4 times
The age that appears most frequently is 12. Therefore, the modal age of the boys is 12.
### 2) Find the modal age of girls.
To find the modal age of the girls:
- The ages of the girls are: 11, 13, 8, 11, 12, 13, 8, 11, 11, 13.
Count the occurrences of each age:
- Age 8: 2 times
- Age 11: 4 times
- Age 12: 1 time
- Age 13: 3 times
The age that appears most frequently is 11. Therefore, the modal age of the girls is 11.
### 3) Draw a table of values for boys using a tally.
To draw a tally table for the boys:
- Age 9: 2 times - tally "||"
- Age 10: 3 times - tally "|||"
- Age 11: 1 time - tally "|"
- Age 12: 4 times - tally "||||"
Thus, the tally table for boys is:
| Age | Tally |
|-----|-------|
| 9 | || |
| 10 | ||| |
| 11 | | |
| 12 | |||| |
### 4) Draw a table of values for girls using a tally.
To draw a tally table for the girls:
- Age 8: 2 times - tally "||"
- Age 11: 4 times - tally "||||"
- Age 12: 1 time - tally "|"
- Age 13: 3 times - tally "|||"
Thus, the tally table for girls is:
| Age | Tally |
|-----|-------|
| 8 | || |
| 11 | |||| |
| 12 | | |
| 13 | ||| |
These tables and the modal ages provide a clear view of the age distribution among the pupils.
