Frequency Tables Worksheet #4: Students record and tally the number of children in couples.

To solve this problem, we need to count how many times each number (representing the number of children) appears in the list provided. This count is called the frequency. We will also represent these counts using tally marks.

Here is the step-by-step process:

1. Identify the categories: The table asks for the frequency of families with 0, 1, 2, 3, 4, and 5 children.
2. Count the occurrences: Go through the data list and count how many times each number appears.
* Data List:
Row 1: 2, 1, 3, 3, 1, 4, 0, 2, 2, 1, 3, 2, 1, 3, 0, 1, 3, 2, 2, 3, 1, 1
Row 2: 4, 4, 2, 1, 2, 3, 2, 3, 2, 0, 1, 4, 3, 3, 2, 1, 1, 2, 2, 3, 2, 2
Row 3: 3, 0, 1, 2, 3, 2, 3, 1, 2, 3, 2, 1, 4, 5, 3, 2, 1, 1, 2, 2, 3, 2
Row 4: 1, 2, 3, 2

3. Tallying the counts:

* Number 0:
* Found in Row 1 (twice), Row 2 (once), Row 3 (once).
* Total Count: $2 + 1 + 1 = 4$
* Tally Marks: ||||

* Number 1:
* Row 1: 6 times
* Row 2: 4 times
* Row 3: 5 times
* Row 4: 1 time
* Total Count: $6 + 4 + 5 + 1 = 16$
* Tally Marks: Four groups of 5 lines (with a diagonal slash) and one vertical line. (|||| / |||| / |||| / |||| / |)

* Number 2:
* Row 1: 7 times
* Row 2: 8 times
* Row 3: 8 times
* Row 4: 2 times
* Total Count: $7 + 8 + 8 + 2 = 25$
* Tally Marks: Five groups of 5 lines. (|||| / |||| / |||| / |||| / ||||)

* Number 3:
* Row 1: 7 times
* Row 2: 5 times
* Row 3: 6 times
* Row 4: 1 time
* Total Count: $7 + 5 + 6 + 1 = 19$
* Tally Marks: Three groups of 5 lines and four vertical lines. (|||| / |||| / |||| / ||||)

* Number 4:
* Row 1: 1 time
* Row 2: 3 times
* Row 3: 1 time
* Row 4: 0 times
* Total Count: $1 + 3 + 1 = 5$
* Tally Marks: One group of 5 lines. (||||)

* Number 5:
* Row 1: 0 times
* Row 2: 0 times
* Row 3: 1 time
* Row 4: 0 times
* Total Count: 1
* Tally Marks: |

4. Verification:
Let's add up all the frequencies to make sure they match the total number of data points.
Total data points = 22 (Row 1) + 22 (Row 2) + 22 (Row 3) + 4 (Row 4) = 70.
Sum of frequencies = $4 + 16 + 25 + 19 + 5 + 1 = 70$.
The calculation is correct.

Final Answer:

| # of Children | Tally Marks | Frequency |
| :---: | :---: | :---: |
| 0 | |||| | 4 |
| 1 | $\cancel{||||}$ $\cancel{||||}$ $\cancel{||||}$ $\cancel{||||}$ | | 16 |
| 2 | $\cancel{||||}$ $\cancel{||||}$ $\cancel{||||}$ $\cancel{||||}$ $\cancel{||||}$ | 25 |
| 3 | $\cancel{||||}$ $\cancel{||||}$ $\cancel{||||}$ |||| | 19 |
| 4 | $\cancel{||||}$ | 5 |
| 5 | | | 1 |