Data Handling — Pictographs, Tally Marks, and Tables
1. What Is Data?
DATA is a collection of INFORMATION.
'When you count how many children in your class like ice cream — THAT is collecting DATA!'
Why Do We Collect Data?
- To find ANSWERS to questions.
- To COMPARE things.
- To make DECISIONS.
2. Tally Marks
TALLY marks are a quick way to COUNT and RECORD numbers.
'Each group of 5 looks like this: |||| (four lines and one cross line).'
| Number | Tally Marks |
|---|---|
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 | ~~ |
| 6 | ~~ |
| 7 | ~~ |
| 8 | ~~ |
| 9 | ~~ |
| 10 | ~~ |
Practice:
Count these tally marks: ||| ||| |
Answer: That is 5 + 5 + 1 = 11
3. Pictographs
A PICTOGRAPH uses PICTURES to show data.
'Each picture STANDS FOR a certain number. The KEY tells you how many.'
Example:
Favorite fruits in Class 3:
| Fruit | Number | Pictograph |
|---|---|---|
| Apple | 8 | 🍎🍎🍎🍎 (each 🍎 = 2) |
| Banana | 6 | 🍌🍌🍌 |
| Orange | 4 | 🍊🍊 |
| Mango | 10 | 🥭🥭🥭🥭🥭 |
Key: Each fruit symbol = 2 students.
Question: How many students chose Mango? Answer: 5 symbols × 2 = 10 students.
Reading a Pictograph:
- CHECK the key — what does one picture stand for?
- COUNT the pictures.
- MULTIPLY the count by the number in the key.
4. Bar Graphs
A BAR GRAPH uses BARS of different heights to show data.
'Amusement Park Rides Children Liked:'
10 | ██
8 | ██ ██ ██
6 | ██ ██ ██ ██
4 | ██ ██ ██ ██ ██
2 | ██ ██ ██ ██ ██
————————————————
Swing Slide Merry-Go-Round
Reading the Graph:
- Swing: 8 children
- Slide: 10 children
- Merry-Go-Round: 6 children
Which ride do the MOST children like? → Slide (10 children)
| Ride | Number of Children |
|---|---|
| Swing | 8 |
| Slide | 10 |
| Merry-Go-Round | 6 |
5. Simple Tables
A TABLE arranges data in ROWS (going across) and COLUMNS (going up and down).
Example — Pets in Class 3:
| Pet | Number of Children |
|---|---|
| Dog | 9 |
| Cat | 6 |
| Fish | 4 |
| Bird | 3 |
| No pet | 5 |
Questions:
- Which pet do most children have? → Dog (9 children).
- How many children have a cat? → 6 children.
- How many children have NO pet? → 5 children.
Reading a Table:
'Read ACROSS to find information about one item. Read DOWN to compare items.'
6. Common Mistakes
- Forgetting the KEY in a pictograph: 'Never assume 1 picture = 1 item. Always CHECK the key. One picture might mean 2, 5, or 10!'
- Misreading tally marks: 'Always group tally marks in 5s.
|||= 5, not 4.||||| = 7, not 6.' - Confusing rows and columns: 'In a table, read ACROSS for one item's information, DOWN to compare different items.'
- Not checking the bar graph scale: 'If the scale goes 0, 2, 4, 6, 8... then a bar halfway between 4 and 6 means 5, not 4.'
7. Key Facts to Remember
- 'Data is COLLECTED INFORMATION.'
- 'Tally marks are grouped in FIVES for easy counting.'
- 'A PICTOGRAPH uses pictures — always check the KEY.'
- 'A BAR GRAPH uses bars — TALLER bar = MORE.'
- 'A TABLE organizes data in ROWS and COLUMNS.'
8. Self-Test
Q1: What is a tally mark for the number 7?
Q2: In a pictograph, each smiley face means 3 students. How many faces for 15 students?
Q3: A bar graph shows: Red = 8, Blue = 5, Green = 3. Which color is most popular?
Q4: In this table, how many children have a dog?
| Pet | Children |
|---|---|
| Dog | 7 |
| Cat | 4 |
| Bird | 2 |
Q5: Draw tally marks for: 3, 6, 9
Q6: A pictograph key says 🎂 = 2 cakes. Half a cake symbol = how many?
Q7: In a bar graph, the tallest bar means what?
Q8: Count: ||| ||| ||| = ?
Answers:
A1: ||| || (one group of 5 + two singles).
A2: 15 ÷ 3 = 5 smiley faces.
A3: Red (8 is the tallest bar).
A4: 7 children.
A5: 3 = |||, 6 = ||| |, 9 = ||| ||||
A6: Half symbol = 1 cake.
A7: The tallest bar means the MOST number for that category.
A8: 5 + 5 + 3 = 13.
