Class 8 Maths Introduction to Graphs Notes & MCQs

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

  1. Line Graph
    • Uses points joined by lines to show trends over time.
    • Example: Temperature vs Days
  2. Bar Graph
    • Uses rectangular bars to compare quantities.
    • Height/length = value
  3. Histogram
    • Similar to bar graph but continuous data in intervals.
  4. Pie Chart
    • Circle divided into sectors, each representing proportion of total.
  5. Cartesian Graph
    • Uses x-axis and y-axis to plot points (x,yx, yx,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

  1. Q: What is a graph?
    A: A visual representation of data showing relationship between variables.
  2. Q: Which axis represents independent variable?
    A: x-axis ✅
  3. Q: Which axis represents dependent variable?
    A: y-axis ✅
  4. Q: What type of graph is used to show trends over time?
    A: Line graph ✅
  5. Q: Bar graph is used for?
    A: Comparing quantities ✅
  6. Q: Histogram shows?
    A: Continuous data in intervals ✅
  7. Q: Pie chart represents data in?
    A: Proportion / percentage ✅
  8. Q: Point (3,5) → which is x and which is y?
    A: x = 3, y = 5 ✅
  9. Q: In line graph, points are joined by?
    A: Lines ✅
  10. Q: In bar graph, bars represent?
    A: Values of data ✅
  11. Q: Total percentage in pie chart?
    A: 100% ✅
  12. Q: Cartesian plane has how many axes?
    A: 2 (x and y) ✅
  13. Q: What is independent variable?
    A: Variable we control / choose ✅
  14. Q: What is dependent variable?
    A: Variable that depends on independent variable ✅
  15. Q: Line graph vs Bar graph → which shows trend?
    A: Line graph ✅
  16. Q: Histogram vs Bar graph → difference?
    A: Histogram → continuous intervals; Bar graph → discrete values ✅
  17. Q: How to label axes?
    A: Independent variable → x-axis, Dependent variable → y-axis ✅
  18. Q: Can we connect points in bar graph?
    A: No ✅
  19. Q: Cartesian coordinates of origin?
    A: (0, 0) ✅
  20. Q: Which graph shows part-to-whole relationship?
    A: Pie chart ✅