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Revision: Introduction to Graphs Maths Secondary School (English Medium) (5 to 8) Class 8 CBSE

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Definitions [6]

A Pictograph is a chart that uses pictures or symbols to represent data. Each picture stands for a specific number of items, making the data easy to understand at a glance.

Double bar graph: A double bar graph is a graphical display of information using two bars beside each other at various heights.

Interpretation of a double bar graph: Interpretation of a double bar graph means the action of explaining the meaning of the double bar diagram.

Line graph: A line graph displays data that changes continuously over periods of time.

  • Linear graph: A line graph which is a whole unbroken line is called a linear graph.
  • Cartesian system: The system used to describe the position of a point in a plane is called the Cartesian system.
  • Origin: The point of intersection of x and y lines is called the origin.
  • Abscissa: X-coordinate tells how many units to move right or left. It is also called the Abscissa.
  • Ordinate: Y-coordinate tells how many units to move up or down. It is also called the Ordinate.
  • Cartesian Coordinate: X-coordinate and y-coordinate taken together are called cartesian coordinates or coordinates of a point and denoted by (x, y). 
  • Ordered pair: The x-coordinate comes first, and after this y-coordinate comes. (x, y) is called an ordered pair.
  • Independent Variable: Anything which is completely independent and its quantity do not depend on any other factor then it is called Independent Variable.

  • Dependent Variable: Anything which increases or decreases with the quantity of any other factor or it is dependent on any other factor then it is called Dependent Variable.

Formulae [1]

Formula: Central Angle

\[\text{Central angle}=\frac{\text{Value of component}}{\text{Total value}}\times360^\circ\]

Theorems and Laws [1]

State whether True or False. Correct those are false.

The coordinates of the origin are (0, 0).

True

Key Points

Key Points: Pie Diagram
  • A pie diagram represents data using a circle.

  • The whole circle = total data = 360°.

  • Each part of the data is shown by a sector.

  • The central angle of a sector is proportional to the data value.

  • Larger value → larger sector, smaller value → smaller sector.
Key Points: Histograms
  • A Histogram is a graphical representation of a grouped frequency distribution using rectangles.
  • It is used for continuous grouped data.

  • Class intervals are shown on the X-axis.

  • Frequencies are shown on the Y-axis.

  • Rectangles are drawn without gaps between them.

  • The height of each rectangle is proportional to its frequency.

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