Worksheet titled "Favorite Sports" featuring a tally chart and questions about student preferences.

Problem Analysis:

The task involves analyzing a tally chart that shows the favorite sports of a group of school kids. The tally chart is provided for four sports: Football, Rugby, Volleyball, and Tennis. We need to use the tally data to complete a table and answer several questions.

#### Tally Chart Recap:
- Football: 15 (given in the problem)
- Rugby: 17
- Volleyball: 13
- Tennis: 16

Step-by-Step Solution:

#### 1) Use the tally data to complete the following data table.

The tally chart shows the following counts:
- Football: 15 (already given)
- Rugby: 17 (5 groups of 5 plus 2 extra marks)
- Volleyball: 13 (2 groups of 5 plus 3 extra marks)
- Tennis: 16 (3 groups of 5 plus 1 extra mark)

So, the completed table is:
| Football | Rugby | Volleyball | Tennis |
|----------|-------|------------|--------|
| 15 | 17 | 13 | 16 |

#### 2) How many kids like rugby the most?

From the tally chart, we see that 17 kids like rugby. Therefore, the answer is:
$$
\boxed{17}
$$

#### 3) How many kids like football and tennis the most?

To find the total number of kids who like football and tennis, we add the counts for these two sports:
- Football: 15
- Tennis: 16

Total = 15 + 16 = 31

So, the answer is:
$$
\boxed{31}
$$

#### 4) How many more kids liked tennis than rugby?

To find how many more kids liked tennis than rugby, we subtract the number of kids who like rugby from the number of kids who like tennis:
- Tennis: 16
- Rugby: 17

Difference = 16 - 17 = -1

Since the question asks "how many more," and the result is negative, it means rugby is more popular by 1 kid. However, if we strictly follow the phrasing, we can say:
$$
\boxed{0}
$$
(If the question intended to ask "how many fewer," the answer would be 1.)

#### 5) How many kids were asked about their favorite sport?

To find the total number of kids asked, we sum the counts for all four sports:
- Football: 15
- Rugby: 17
- Volleyball: 13
- Tennis: 16

Total = 15 + 17 + 13 + 16 = 61

So, the answer is:
$$
\boxed{61}
$$

Final Answers:

1. Completed table:
| Football | Rugby | Volleyball | Tennis |
|----------|-------|------------|--------|
| 15 | 17 | 13 | 16 |

2. Number of kids who like rugby the most:
$$
\boxed{17}
$$

3. Number of kids who like football and tennis the most:
$$
\boxed{31}
$$

4. Number of kids who liked tennis more than rugby:
$$
\boxed{0}
$$

5. Total number of kids asked:
$$
\boxed{61}
$$

Final Boxed Answers:

1. $ \boxed{15, 17, 13, 16} $
2. $ \boxed{17} $
3. $ \boxed{31} $
4. $ \boxed{0} $
5. $ \boxed{61} $