8th Math NCERT Chapter 4
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Important Topics in the Chapter "Data Handling":
1. Data Collection and Representation:
– Summary: Data is collected to study a situation, organized systematically, and often represented graphically with tools like pictographs, bar graphs, and double bar graphs.
2. Types of Graphs:
– Summary: Different types of graphs are used to represent data, such as pictographs (using symbols), bar graphs (heights proportional to values), and double bar graphs (comparing two sets of data).
3. Circle Graphs or Pie Charts:
– Summary: Circle graphs show the relationship between a whole and its parts, with sectors representing different proportions of the whole. The total angle in a circle is 360°, and sectors' central angles can be calculated accordingly.
Summary:
The chapter covers the fundamental concepts of data handling, including collecting, organizing, and graphically representing data using pictographs, bar graphs, double bar graphs, and circle graphs (pie charts). Students learn how to interpret different types of graphs and understand the proportional relationships represented visually.
What is data and how is it collected?
Data is information collected in the context of a situation we want to study, such as runs made by a batsman or marks scored by students. Data is collected by organizing the information in a systematic manner and interpreting it accordingly.
Explain the difference between a pictograph and a bar graph.
A pictograph is a pictorial representation of data using symbols, where one symbol can represent a certain quantity. On the other hand, a bar graph displays information using bars of uniform width, with heights proportional to the respective values.
What type of information can a double bar graph represent?
A double bar graph can show two sets of data simultaneously, allowing for comparison between the two data sets.
How is a circle graph (pie chart) useful in representing data?
A circle graph, or pie chart, shows the relationship between a whole and its parts by dividing the circle into sectors proportional to the information they represent. It helps in visualizing proportions and comparisons effectively.
In drawing a pie chart, how are the central angles of the sectors calculated and utilized?
The total angle at the center of a circle is 360°. To find the central angle of a sector representing a category, the fraction of that category's data is calculated, which is then converted to degrees out of 360°. These central angles are used to draw the sectors of the pie chart accordingly.
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