Frequency Tables Worksheet #6 - Tally chart and questions about children's favorite games.

Problem Analysis:

The task involves analyzing a tally chart to answer questions about children's favorite games. The tally chart shows the number of children who prefer each game using tally marks. Each tally mark represents one child, and a group of five tally marks is represented by a diagonal line crossing the previous four.

Tally Chart Breakdown:

1. Cricket:
- Tally: `IIII IIII IIII IIII III`
- Count: 20 (4 groups of 5 + 5)

2. Soccer:
- Tally: `IIII IIII IIII I`
- Count: 16 (3 groups of 5 + 1)

3. Baseball:
- Tally: `IIII IIII IIII IIII`
- Count: 20 (4 groups of 5)

4. Basketball:
- Tally: `IIII IIII IIII IIII IIII IIII IIII IIII III`
- Count: 43 (8 groups of 5 + 3)

5. Volleyball:
- Tally: `IIII II`
- Count: 7 (1 group of 5 + 2)

Questions and Solutions:

#### 1. How many children like Soccer?
- From the tally chart, Soccer has `IIII IIII IIII I`, which equals 16.
- Answer: 16

#### 2. According to the above table, which game is the most popular among children?
- Compare the counts for each game:
- Cricket: 20
- Soccer: 16
- Baseball: 20
- Basketball: 43
- Volleyball: 7
- The highest count is 43, which corresponds to Basketball.
- Answer: Basketball

#### 3. How many more children like to play Cricket than Volleyball?
- Number of children who like Cricket: 20
- Number of children who like Volleyball: 7
- Difference: \( 20 - 7 = 13 \)
- Answer: 13

#### 4. Which game is the least popular among children?
- Compare the counts for each game:
- Cricket: 20
- Soccer: 16
- Baseball: 20
- Basketball: 43
- Volleyball: 7
- The lowest count is 7, which corresponds to Volleyball.
- Answer: Volleyball

#### 5. How many children like to play Baseball?
- From the tally chart, Baseball has `IIII IIII IIII IIII`, which equals 20.
- Answer: 20

#### 6. Do more children play Baseball or Soccer?
- Number of children who like Baseball: 20
- Number of children who like Soccer: 16
- Since 20 > 16, more children play Baseball.
- Answer: Baseball

#### 7. How many children were surveyed in total?
- Sum the counts for all games:
- Cricket: 20
- Soccer: 16
- Baseball: 20
- Basketball: 43
- Volleyball: 7
- Total: \( 20 + 16 + 20 + 43 + 7 = 106 \)
- Answer: 106

Final Answers:

1. 16
2. Basketball
3. 13
4. Volleyball
5. 20
6. Baseball
7. 106

Boxed Final Answer:
\[
\boxed{16, \text{Basketball}, 13, \text{Volleyball}, 20, \text{Baseball}, 106}
\]