Data and Graphs | Fourth Grade
Complete Notes & Formulas
1. Read a Table
Definition: A table organizes data in rows (horizontal) and columns (vertical) to make information easy to read and compare.
📊 Parts of a Table:
- Title: Tells what the table is about
- Column Headers: Labels at the top of columns
- Row Headers: Labels on the left side
- Data/Values: Numbers or information in cells
✏️ Example Table:
Favorite Fruits Survey
Fruit | Number of Students |
---|---|
Apple | 15 |
Banana | 12 |
Orange | 8 |
Questions to ask: Which fruit is most popular? How many students chose banana?
💡 Reading Tips:
- Read the title first to understand the data
- Locate the row and column for the data you need
- Follow the row across and column down to find the value
- Check units (numbers, dollars, percentages, etc.)
2-3. Interpret and Create Bar Graphs
Definition: A bar graph uses rectangular bars to show and compare data. The length or height of each bar represents a value.
📐 Parts of a Bar Graph:
- Title: Describes what the graph shows
- Horizontal Axis (x-axis): Categories or labels
- Vertical Axis (y-axis): Number scale
- Bars: Show the value for each category
- Scale: Numbers on the y-axis (intervals should be equal)
📝 Properties of Bar Graphs:
- All bars have equal width
- All bars have a common base
- Height/length of bar = value of data
- Equal spacing between bars
✏️ How to Create a Bar Graph:
- Step 1: Draw horizontal (x) and vertical (y) axes
- Step 2: Write title at the top
- Step 3: Label x-axis (categories) and y-axis (numbers)
- Step 4: Choose appropriate scale for y-axis
- Step 5: Draw bars with correct heights
- Step 6: Make sure bars are equal width with equal spacing
💡 Types of Bar Graphs:
- Vertical Bar Graph: Bars go up from bottom to top
- Horizontal Bar Graph: Bars go left to right
4-5. Interpret and Create Line Plots
Definition: A line plot (also called dot plot) shows data along a number line using X's or dots to represent frequency.
📊 Parts of a Line Plot:
- Title: What the data represents
- Number Line: Shows the range of values
- X's or Dots: Each X represents one data point
- Labels: Description of what is being measured
✏️ Example Line Plot:
Number of Pets Students Have
X X X X X X X X X X X X X X ________________________________ 0 1 2 3 4 5 6 Number of Pets
Reading: 4 students have 0 pets, 3 students have 1 pet, etc.
📝 How to Create a Line Plot:
- Draw a horizontal number line
- Mark equal intervals based on data range
- Write a title above the plot
- Label the number line (what is being measured)
- Place an X above each number for each data point
- Stack X's if multiple data points have same value
💡 Uses of Line Plots:
- Shows how data is distributed
- Easy to see most common value (mode)
- Can show data with fractions (like ½, ¼)
- Good for small sets of numerical data
6. Frequency Tables
Definition: A frequency table shows how often each value or category appears in a data set. Frequency means "how many times."
📊 Parts of a Frequency Table:
- Title: What data is being counted
- Category Column: Lists items or values
- Tally Column: Uses tally marks (||||) to count
- Frequency Column: Shows total count as a number
✏️ Example Frequency Table:
Favorite Colors Survey
Color | Tally | Frequency |
---|---|---|
Red | |||| || | 7 |
Blue | |||| |||| | 10 |
Green | |||| | 5 |
📝 How to Create a Frequency Table:
- List all categories or values in first column
- Use tally marks to count (|||| = 5)
- Count tally marks and write frequency number
- Add all frequencies to find total
🔑 Key Formula:
Total = Sum of All Frequencies
7-8. Interpret and Create Stem-and-Leaf Plots
Definition: A stem-and-leaf plot organizes data by splitting each number into a "stem" (first digit(s)) and "leaf" (last digit).
📐 How Stem-and-Leaf Works:
For 2-digit numbers:
• Stem = Tens digit
• Leaf = Ones digit
Example: 47 → Stem = 4, Leaf = 7
For 3-digit numbers:
• Stem = Tens and hundreds digits
• Leaf = Ones digit
Example: 123 → Stem = 12, Leaf = 3
✏️ Example Stem-and-Leaf Plot:
Test Scores: 23, 27, 30, 35, 38, 42, 45, 49
Stem | Leaf |
---|---|
2 | 3 7 |
3 | 0 5 8 |
4 | 2 5 9 |
Key: 2|3 means 23
📝 How to Create Stem-and-Leaf Plot:
- Step 1: Arrange data in order (smallest to largest)
- Step 2: Draw a table with two columns: Stem | Leaf
- Step 3: Write all possible stem values in order
- Step 4: For each data point, write leaf digit next to stem
- Step 5: List leaves in order from smallest to largest
- Step 6: Include a key showing how to read the plot
💡 Advantages:
- Shows all original data values
- Easy to see distribution and gaps
- Data is automatically organized
- Can find mode, median, range easily
9. Choose the Best Type of Graph
Definition: Selecting the most appropriate graph type depends on the kind of data and what you want to show.
📊 Graph Selection Guide:
Use TABLE when:
- You need exact values
- Organizing lots of different information
- Showing multiple categories with multiple values
Use BAR GRAPH when:
- Comparing different categories or groups
- Showing differences between groups clearly
- Data is not continuous (separate categories)
- Example: Favorite sports, types of animals
Use LINE PLOT when:
- Showing frequency of numerical data
- Data has specific values on a number line
- Working with measurements or fractions
- Example: Heights, shoe sizes, test scores
Use FREQUENCY TABLE when:
- Counting how many times something occurs
- Organizing data before making a graph
- Recording survey results
- Need to show tallies and totals
Use STEM-AND-LEAF PLOT when:
- You want to see ALL individual data values
- Data has 2 or 3 digits
- Finding patterns in numerical data
- Example: Ages, test scores, measurements
💡 Quick Decision Guide:
Question | Best Graph Type |
---|---|
Compare categories? | Bar Graph |
Show frequency on number line? | Line Plot |
Keep all original values? | Stem-and-Leaf Plot |
Count occurrences? | Frequency Table |
Need exact values? | Table |
Data and Graphs Quick Reference Chart
Graph Type | Best Used For | Key Feature |
---|---|---|
Table | Organizing exact data in rows & columns | Shows precise values |
Bar Graph | Comparing categories or groups | Uses rectangular bars |
Line Plot | Showing frequency of data values | Uses X's on number line |
Frequency Table | Counting how often data occurs | Uses tally marks |
Stem-and-Leaf Plot | Organizing numerical data by place value | Splits numbers: stem|leaf |
📚 Fourth Grade Data and Graphs - Complete Study Guide
Master these data visualization skills for math excellence! ✨