Math worksheet for students to practice creating frequency tables using tally marks based on survey data about the number of siblings among 50 children.
A frequency table worksheet titled "Frequency Tables Worksheet #1" with a list of sibling data and a table for tally marks and frequency.
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Show Answer Key & Explanations
Step-by-step solution for: Grade 3 Maths Worksheets: Pictorial Representation of Data (15.3 ...
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Show Answer Key & Explanations
Step-by-step solution for: Grade 3 Maths Worksheets: Pictorial Representation of Data (15.3 ...
I'll solve this frequency table problem step by step.
First, let me count how many times each number of siblings appears in the data:
The data given is:
3, 3, 2, 1, 1, 0, 2, 3, 4, 2, 3, 2, 5, 4, 1, 1, 4, 2, 3, 2, 2, 2, 3, 1, 3, 4, 5, 1, 2, 2, 3, 0, 1, 1, 3, 3, 2, 1, 4, 3, 2, 4, 1, 1, 2, 2, 3, 2, 3
Let me count each value carefully:
Number of children with 0 siblings:
Looking through the data: I see "0" appears twice (positions 6 and 32)
Count = 2
Number of children with 1 sibling:
Looking through: 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
Let me count more carefully: positions 4, 5, 15, 16, 24, 28, 33, 34, 38, 43, 44
That's 11 ones
Count = 11
Number of children with 2 siblings:
Looking through: 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2
Let me count: positions 3, 7, 10, 12, 18, 20, 21, 22, 29, 30, 37, 41, 45, 46, 48
That's 15 twos
Count = 15
Number of children with 3 siblings:
Looking through: 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3
Let me count: positions 1, 2, 8, 11, 19, 23, 25, 31, 35, 36, 40, 47, 49
That's 13 threes
Count = 13
Number of children with 4 siblings:
Looking through: 4, 4, 4, 4, 4, 4, 4
Let me count: positions 9, 14, 17, 26, 39, 42
That's 6 fours
Count = 6
Number of children with 5 siblings:
Looking through: 5, 5
Positions 13, 27
That's 2 fives
Count = 2
Let me verify: 2 + 11 + 15 + 13 + 6 + 2 = 49... that should be 50!
Let me recount more carefully by going through the entire list systematically:
3, 3, 2, 1, 1, 0, 2, 3, 4, 2, 3, 2, 5, 4, 1, 1, 4, 2, 3, 2, 2, 2, 3, 1, 3, 4, 5, 1, 2, 2, 3, 0, 1, 1, 3, 3, 2, 1, 4, 3, 2, 4, 1, 1, 2, 2, 3, 2, 3
Going through one by one:
- 0s: position 6, position 32 → 2 zeros
- 1s: positions 4, 5, 15, 16, 24, 28, 33, 34, 38, 43, 44 → 11 ones
- 2s: positions 3, 7, 10, 12, 18, 20, 21, 22, 29, 30, 37, 41, 45, 46, 48 → 15 twos
- 3s: positions 1, 2, 8, 11, 19, 23, 25, 31, 35, 36, 40, 47, 49 → 13 threes
- 4s: positions 9, 14, 17, 26, 39, 42 → 6 fours
- 5s: positions 13, 27 → 2 fives
Total: 2 + 11 + 15 + 13 + 6 + 2 = 49
Wait, there should be 50 children. Let me count the total numbers in the data again. Looking at the original data more carefully - it appears to be arranged in rows. Let me count all the numbers:
Row 1: 3, 3, 2, 1, 1, 0, 2, 3, 4, 2 (10 numbers)
Row 2: 3, 2, 5, 4, 1, 1, 4, 2, 3, 2 (10 numbers)
Row 3: 2, 2, 3, 1, 3, 4, 5, 1, 2, 2 (10 numbers)
Row 4: 3, 0, 1, 1, 3, 3, 2, 1, 4, 3 (10 numbers)
Row 5: 2, 4, 1, 1, 2, 2, 3, 2, 3 (9 numbers)
Total: 10 + 10 + 10 + 10 + 9 = 49 numbers
Hmm, but the problem says 50 children. Let me look at the image again... Actually, looking more carefully at row 5, I need to recount. The last row shows: 2, 4, 1, 1, 2, 2, 3, 2, 3 - that's only 9 numbers. But wait, maybe I'm misreading the layout.
Let me try a different approach - I'll just count directly from what I can see in the data string provided:
Actually, re-examining the data more carefully, I notice there might be an issue with how I'm reading it. Let me work with what I have and double-check my counts are correct for the visible data.
My counts were:
- 0 siblings: 2
- 1 sibling: 11
- 2 siblings: 15
- 3 siblings: 13
- 4 siblings: 6
- 5 siblings: 2
Total: 49
Since the problem states 50 children but I'm counting 49 data points, there may be a transcription issue. However, based on the data provided, these are my accurate counts.
For tally marks:
- Each group of 5 is represented as four vertical lines with a diagonal line through them (||||/)
- Remaining marks are shown as vertical lines
Final Answer:
| # of Siblings | Tally Marks | Frequency |
|---------------|-------------|-----------|
| 0 | || | 2 |
| 1 | ||||/ ||||/ | | 11 |
| 2 | ||||/ ||||/ ||||/ | | 15 |
| 3 | ||||/ ||||/ ||| | 13 |
| 4 | ||||/ | | 6 |
| 5 | || | 2 |
First, let me count how many times each number of siblings appears in the data:
The data given is:
3, 3, 2, 1, 1, 0, 2, 3, 4, 2, 3, 2, 5, 4, 1, 1, 4, 2, 3, 2, 2, 2, 3, 1, 3, 4, 5, 1, 2, 2, 3, 0, 1, 1, 3, 3, 2, 1, 4, 3, 2, 4, 1, 1, 2, 2, 3, 2, 3
Let me count each value carefully:
Number of children with 0 siblings:
Looking through the data: I see "0" appears twice (positions 6 and 32)
Count = 2
Number of children with 1 sibling:
Looking through: 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
Let me count more carefully: positions 4, 5, 15, 16, 24, 28, 33, 34, 38, 43, 44
That's 11 ones
Count = 11
Number of children with 2 siblings:
Looking through: 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2
Let me count: positions 3, 7, 10, 12, 18, 20, 21, 22, 29, 30, 37, 41, 45, 46, 48
That's 15 twos
Count = 15
Number of children with 3 siblings:
Looking through: 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3
Let me count: positions 1, 2, 8, 11, 19, 23, 25, 31, 35, 36, 40, 47, 49
That's 13 threes
Count = 13
Number of children with 4 siblings:
Looking through: 4, 4, 4, 4, 4, 4, 4
Let me count: positions 9, 14, 17, 26, 39, 42
That's 6 fours
Count = 6
Number of children with 5 siblings:
Looking through: 5, 5
Positions 13, 27
That's 2 fives
Count = 2
Let me verify: 2 + 11 + 15 + 13 + 6 + 2 = 49... that should be 50!
Let me recount more carefully by going through the entire list systematically:
3, 3, 2, 1, 1, 0, 2, 3, 4, 2, 3, 2, 5, 4, 1, 1, 4, 2, 3, 2, 2, 2, 3, 1, 3, 4, 5, 1, 2, 2, 3, 0, 1, 1, 3, 3, 2, 1, 4, 3, 2, 4, 1, 1, 2, 2, 3, 2, 3
Going through one by one:
- 0s: position 6, position 32 → 2 zeros
- 1s: positions 4, 5, 15, 16, 24, 28, 33, 34, 38, 43, 44 → 11 ones
- 2s: positions 3, 7, 10, 12, 18, 20, 21, 22, 29, 30, 37, 41, 45, 46, 48 → 15 twos
- 3s: positions 1, 2, 8, 11, 19, 23, 25, 31, 35, 36, 40, 47, 49 → 13 threes
- 4s: positions 9, 14, 17, 26, 39, 42 → 6 fours
- 5s: positions 13, 27 → 2 fives
Total: 2 + 11 + 15 + 13 + 6 + 2 = 49
Wait, there should be 50 children. Let me count the total numbers in the data again. Looking at the original data more carefully - it appears to be arranged in rows. Let me count all the numbers:
Row 1: 3, 3, 2, 1, 1, 0, 2, 3, 4, 2 (10 numbers)
Row 2: 3, 2, 5, 4, 1, 1, 4, 2, 3, 2 (10 numbers)
Row 3: 2, 2, 3, 1, 3, 4, 5, 1, 2, 2 (10 numbers)
Row 4: 3, 0, 1, 1, 3, 3, 2, 1, 4, 3 (10 numbers)
Row 5: 2, 4, 1, 1, 2, 2, 3, 2, 3 (9 numbers)
Total: 10 + 10 + 10 + 10 + 9 = 49 numbers
Hmm, but the problem says 50 children. Let me look at the image again... Actually, looking more carefully at row 5, I need to recount. The last row shows: 2, 4, 1, 1, 2, 2, 3, 2, 3 - that's only 9 numbers. But wait, maybe I'm misreading the layout.
Let me try a different approach - I'll just count directly from what I can see in the data string provided:
Actually, re-examining the data more carefully, I notice there might be an issue with how I'm reading it. Let me work with what I have and double-check my counts are correct for the visible data.
My counts were:
- 0 siblings: 2
- 1 sibling: 11
- 2 siblings: 15
- 3 siblings: 13
- 4 siblings: 6
- 5 siblings: 2
Total: 49
Since the problem states 50 children but I'm counting 49 data points, there may be a transcription issue. However, based on the data provided, these are my accurate counts.
For tally marks:
- Each group of 5 is represented as four vertical lines with a diagonal line through them (||||/)
- Remaining marks are shown as vertical lines
Final Answer:
| # of Siblings | Tally Marks | Frequency |
|---------------|-------------|-----------|
| 0 | || | 2 |
| 1 | ||||/ ||||/ | | 11 |
| 2 | ||||/ ||||/ ||||/ | | 15 |
| 3 | ||||/ ||||/ ||| | 13 |
| 4 | ||||/ | | 6 |
| 5 | || | 2 |
Parent Tip: Review the logic above to help your child master the concept of data tables worksheet.