The following data was recorded by asking some couples how many ... - Free Printable

Problem Overview:

The task involves organizing the given data about the number of children couples have into a frequency table using tally marks. The data is provided as a list of numbers, and we need to count how many times each number appears.

Given Data:

The list of numbers representing the number of children per couple is:
```
2, 1, 3, 3, 1, 4, 0, 2, 2, 1, 3, 2, 1, 3, 0, 1, 3, 2, 2, 3, 1, 1, 4, 4, 2, 1, 2, 3, 2, 3, 2, 0, 1, 4, 3, 3, 2, 1, 1, 2, 2, 3, 2, 2, 3, 0, 1, 2, 3, 2, 3, 1, 2, 3, 2, 1, 4, 5, 3, 2, 1, 1, 2, 2, 3, 2, 1, 3, 2
```

Solution Approach:

1. Understand the Data: The numbers range from 0 to 5, representing the number of children.
2. Create a Frequency Table: Use tally marks to count the occurrences of each number.
3. Count Each Number:
- For each number in the list, increment the tally mark for that number.
- Convert the tally marks into a frequency count.

Step-by-Step Solution:

#### 1. Initialize the Frequency Table:
We will create a table with columns for the number of children, tally marks, and frequency. Initially, all tally marks and frequencies are empty.

| # of Children | Tally Marks | Frequency |
|---------------|-------------|-----------|
| 0 | | |
| 1 | | |
| 2 | | |
| 3 | | |
| 4 | | |
| 5 | | |

#### 2. Count Each Number Using Tally Marks:
We will go through the list and update the tally marks for each number.

- Number 0: Appears 3 times.
- Tally: |||
- Number 1: Appears 10 times.
- Tally: |||| |||| ||
- Number 2: Appears 15 times.
- Tally: |||| |||| |||| |||| ||
- Number 3: Appears 12 times.
- Tally: |||| |||| |||| ||||
- Number 4: Appears 5 times.
- Tally: |||| |
- Number 5: Appears 1 time.
- Tally: |

#### 3. Convert Tally Marks to Frequencies:
- Each group of 5 tally marks (||||) represents 5 occurrences.
- Any remaining marks are counted individually.

- Number 0: 3
- Number 1: 10
- Number 2: 15
- Number 3: 12
- Number 4: 5
- Number 5: 1

#### 4. Fill in the Table:
Now, we fill in the frequency table with the tally marks and frequencies.

| # of Children | Tally Marks | Frequency |
|---------------|---------------------|-----------|
| 0 | ||| | 3 |
| 1 | |||| |||| || | 10 |
| 2 | |||| |||| |||| ||||| | | 15 |
| 3 | |||| |||| |||| ||||| | 12 |
| 4 | |||| | | 5 |
| 5 | | | 1 |

Final Answer:

The completed frequency table is:

| # of Children | Tally Marks | Frequency |
|---------------|---------------------|-----------|
| 0 | ||| | 3 |
| 1 | |||| |||| || | 10 |
| 2 | |||| |||| |||| ||||| | | 15 |
| 3 | |||| |||| |||| ||||| | 12 |
| 4 | |||| | | 5 |
| 5 | | | 1 |

$$
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{# of Children} & \text{Tally Marks} & \text{Frequency} \\
\hline
0 & ||| & 3 \\
1 & |||| |||| || & 10 \\
2 & |||| |||| |||| ||||| | & 15 \\
3 & |||| |||| |||| ||||| & 12 \\
4 & |||| | & 5 \\
5 & | & 1 \\
\hline
\end{array}
}
$$