Bar Charts

Rumman Ansari   Software Engineer   2024-07-28 09:42:12   158  Share
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Bar Charts - Aptitude Formulas

Definition

Bar Chart: A bar chart represents data with rectangular bars. The length or height of each bar is proportional to the value it represents.

Basic Components of a Bar Chart

  • Title: Describes what the bar chart is about.
  • Axis: The x-axis (horizontal) and y-axis (vertical) provide a reference for the data.
  • Bars: Represent data values. Can be vertical or horizontal.
  • Labels: Describe the data categories and values.

Types of Bar Charts

Vertical Bar Chart

Bars extend vertically from the x-axis:

Vertical Bar Chart

Horizontal Bar Chart

Bars extend horizontally from the y-axis:

Horizontal Bar Chart

Grouped Bar Chart

Shows bars grouped together for different categories:

Grouped Bar Chart

Stacked Bar Chart

Shows bars stacked on top of each other to represent cumulative data:

Stacked Bar Chart

Formulas Related to Bar Charts

Finding Total Value

If the values represented by the bars are v1,v2,v3,,vn, the total value is:

Total Value=v1+v2+v3++vn

Finding Average Value

If the values represented by the bars are v1,v2,v3,,vn, the average value is:

Average Value=v1+v2+v3++vnn

Percentage of Total

If a bar represents a value vi and the total value is V, the percentage of the total is:

Percentage=(viV)×100

Example Problems

Example 1: Finding Total Value

If the values represented by the bars are 10, 20, 30, and 40, the total value is:

Total Value=10+20+30+40=100

Example 2: Finding Average Value

If the values represented by the bars are 10, 20, 30, and 40, the average value is:

Average Value=10+20+30+404=1004=25

Example 3: Finding Percentage of Total

If a bar represents a value 20 and the total value is 100, the percentage of the total is:

Percentage=(20100)×100=20%

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