NCERT Class 6 Math՚s Chapter 9: Data Handling: Types of Data

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Questions?

Illustration: Questions?

1. How to select the scale for bar chart?

2. When to draw bar chart?

3. What is the difference between histogram and bar chart?

Data

Illustration: Data
Illustration: Data

Consider the data on the height of each of the class students.

Statistics

Illustration: Statistics
Illustration: Statistics

Using this statistics, we can either plot it (as we will do later) or we can ask questions about data (interpret it)

Types of Data

Illustration: Types of Data
Illustration: Types of Data

Consider the data on the fruit preferred by each of the class students.

Concept of Frequency

Illustration: Concept of Frequency
  • We start with subtraction - If I have apples and you take 3 from me, then I am left with 2 apples: 5 - 3 = 2.
  • The value zero now becomes very important because I know that if I have 5 apples and you take away 5 apples then I am left with none, 0: that is 5 − 5 = 0
Illustration: Concept of Frequency
Illustration: Concept of Frequency
Illustration: Concept of Frequency
Illustration: Concept of Frequency
Illustration: Concept of Frequency
Illustration: Concept of Frequency
Illustration: Concept of Frequency
Illustration: Concept of Frequency
Illustration: Concept of Frequency
Illustration: Concept of Frequency
Illustration: Concept of Frequency

Tally Marks

Illustration: Tally Marks

Concept of Frequency

Illustration: Concept of Frequency

Tally Marks

Illustration: Tally Marks

Frequency in Intervals

Illustration: Frequency in Intervals
Illustration: Frequency in Intervals
Illustration: Frequency in Intervals
Illustration: Frequency in Intervals
Illustration: Frequency in Intervals
Illustration: Frequency in Intervals
Illustration: Frequency in Intervals
Illustration: Frequency in Intervals
Illustration: Frequency in Intervals
Illustration: Frequency in Intervals
Illustration: Frequency in Intervals

Tally Marks in Intervals

Illustration: Tally Marks in Intervals

Plotting the Frequency

Illustration: Plotting the Frequency
Illustration: Plotting the Frequency

Bar Chart vs. Histogram

Illustration: Bar Chart vs. Histogram

Tally Marks- Number of Books

Illustration: Tally Marks- Number of Books

Now we can answer questions like number of books owned by maximum or minimum number of students.

Overview

  • Data and Statistics
  • Categorical and Continuous Data
    • Frequency & Tally Marks
    • Bar Chart vs Histogram
  • Drawing Bar Graph
  • Choosing Right Scale for Bar Graph
  • Vertical and Horizontal Bar Graphs
  • Reading Bar Graphs
  • Pictographs

Drawing Bar Graph

Illustration: Drawing Bar Graph

HCF is 200

Illustration: Drawing Bar Graph
Illustration: Drawing Bar Graph
Illustration: Drawing Bar Graph
Illustration: Drawing Bar Graph
Illustration: Drawing Bar Graph
Illustration: Drawing Bar Graph
Illustration: Drawing Bar Graph
Illustration: Drawing Bar Graph

The Art of Choosing the Right Scale

Illustration: The Art of Choosing the Right Scale

Not mandatory

Illustration: The Art of Choosing the Right Scale

In first case maximum values are even so we can choose the scale of 2.

Illustration: The Art of Choosing the Right Scale
Illustration: The Art of Choosing the Right Scale
Illustration: The Art of Choosing the Right Scale

Column Graph or Vertical Bar Graph

Illustration: Column Graph or Vertical Bar Graph

Not mandatory

Horizontal Bar Graph

Illustration: Horizontal Bar Graph

HCF is 200

Reading Bar Graphs

1. Maximum production year

2. Minimum production year

3. Largest decrease in production

4. Greatest increase in production

Illustration: Reading Bar Graphs

1. Maximum production year- 2002

2. Minimum production year- 2003

3. Largest decrease in production- 2003 (25)

4. Greatest increase in production 1999,2002 (10)

Pictographs

Illustration: Pictographs
  • We start with subtraction - If I have apples and you take 3 from me, then I am left with 2 apples: 5 - 3 = 2.
  • The value zero now becomes very important because I know that if I have 5 apples and you take away 5 apples then I am left with none, 0: that is 5 − 5 = 0
Illustration: Pictographs
Illustration: Pictographs
Illustration: Pictographs
Illustration: Pictographs
Illustration: Pictographs
Illustration: Pictographs

Pictographs- Approximations

Illustration: Pictographs- Approximations
Illustration: Pictographs- Approximations
Illustration: Pictographs- Approximations
Illustration: Pictographs- Approximations
Illustration: Pictographs- Approximations
Illustration: Pictographs- Approximations

More Advanced Topics

1. Measures of central tendency (mean, mode, median)

2. Histogram and its statistical properties

3. Pie charts and line graphs

4. Stacked and clustered bar graphs

Mayank