Introduction to Graphs – Quick Notes (Class 8 )
1. Definition:
A graph is a visual representation of data. It shows the relationship between two variables.
- Variables: Quantities that can change.
- Dependent variable (y-axis): Depends on another variable
- Independent variable (x-axis): Variable we control or choose
2. Types of Graphs
- Line Graph
- Uses points joined by lines to show trends over time.
- Example: Temperature vs Days
- Bar Graph
- Uses rectangular bars to compare quantities.
- Height/length = value
- Histogram
- Similar to bar graph but continuous data in intervals.
- Pie Chart
- Circle divided into sectors, each representing proportion of total.
- Cartesian Graph
- Uses x-axis and y-axis to plot points (x,y).
3. Important Notes / Tips
- Always label axes clearly.
- Use uniform scale on axes.
- Plot points accurately.
- Connect points only if line graph, not bar graph.
- Pie chart → total = 100%
Introduction to Graphs – MCQ Q&A
- Q: What is a graph?
A: A visual representation of data showing relationship between variables. - Q: Which axis represents independent variable?
A: x-axis ✅ - Q: Which axis represents dependent variable?
A: y-axis ✅ - Q: What type of graph is used to show trends over time?
A: Line graph ✅ - Q: Bar graph is used for?
A: Comparing quantities ✅ - Q: Histogram shows?
A: Continuous data in intervals ✅ - Q: Pie chart represents data in?
A: Proportion / percentage ✅ - Q: Point (3,5) → which is x and which is y?
A: x = 3, y = 5 ✅ - Q: In line graph, points are joined by?
A: Lines ✅ - Q: In bar graph, bars represent?
A: Values of data ✅ - Q: Total percentage in pie chart?
A: 100% ✅ - Q: Cartesian plane has how many axes?
A: 2 (x and y) ✅ - Q: What is independent variable?
A: Variable we control / choose ✅ - Q: What is dependent variable?
A: Variable that depends on independent variable ✅ - Q: Line graph vs Bar graph → which shows trend?
A: Line graph ✅ - Q: Histogram vs Bar graph → difference?
A: Histogram → continuous intervals; Bar graph → discrete values ✅ - Q: How to label axes?
A: Independent variable → x-axis, Dependent variable → y-axis ✅ - Q: Can we connect points in bar graph?
A: No ✅ - Q: Cartesian coordinates of origin?
A: (0, 0) ✅ - Q: Which graph shows part-to-whole relationship?
A: Pie chart ✅