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Column and Bar Graph | SBI PO Prelims & Mains Preparation - Bank Exams PDF Download

Definition

  • A Bar graph is a visual tool that uses bars of varying lengths or heights to represent and compare data across different categories.
  • Its primary function is to provide a clear, visual comparison of data values.
  • Both bar and column graphs are visual tools used to represent and compare categorical data. They display data as rectangular bars, where the length or height of each bar is proportional to the value it represents.

Column and Bar Graph | SBI PO Prelims & Mains Preparation - Bank Exams

Key Components

Axes

  • X-axis (Horizontal): Displays the categorical data being compared.
  • Y-axis (Vertical): Represents the numerical values or frequencies associated with each category.

Bars

  • Each bar corresponds to a specific category.
  • The length or height of a bar is directly proportional to the value it represents.
  • Bars can be oriented vertically or horizontally.

Labels


  • Axis labels clarify the meaning of the data.
  • Bar labels specify the categories.

Spacing

  • Space between bars ensures clear distinction between categories.Column and Bar Graph | SBI PO Prelims & Mains Preparation - Bank Exams

Types of Bar Graphs

  • Vertical Bar Graph: Bars extend upwards from the x-axis.
  • Horizontal Bar Graph: Bars extend sideways from the y-axis.
  • Grouped Bar Graph: Compares multiple data sets within each category, displayed side-by-side.
  • Stacked Bar Graph: Shows parts of a whole within each category, where each bar represents the total.Column and Bar Graph | SBI PO Prelims & Mains Preparation - Bank Exams

Constructing a Bar Graph

  • Identify Variables: Determine the categorical (x-axis) and numerical (y-axis) data.
  • Organize Data: Collect and group the data appropriately.
  • Determine Scale: Choose a suitable, evenly spaced scale for the y-axis.
  • Draw Axes: Create the x and y axes and label them.
  • Plot Bars: Draw bars representing each category's value.
  • Label Graph: Add a title, category labels, and optional value labels.
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Column and Bar Graph
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Solving Bar Graph Questions

  • Read Title and Labels: Understand the graph's context and data representation.
  • Examine Bars: Analyze the lengths or heights of the bars.
  • Understand Scale: Interpret the y-axis scale accurately.
  • Analyze Data: Compare bars to identify trends and variations.
  • Interpret Questions: Understand the specific information requested.
  • Use Mathematical Operations: Perform calculations like averages or percentages if needed.
  • Verify and Double-check: Ensure your answers are accurate and aligned with the graph's data.
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Solved Example

Directions: Study the graph carefully and answer the following questions.
The bar graph shows the total number of employees and the male employees in five different banks

Column and Bar Graph | SBI PO Prelims & Mains Preparation - Bank Exams

1. The number of female employees working in OBC and PNB together is approximately how much percentage less than the total number of employees working in PNB?

Solution: 

The number of female employees working in OBC = 990 – 495 = 495
 The number of female employees working in PNB = 1240 – 558 = 682 
The number of total employees working in PNB = 1240

% less = (1240−495−682)/ 1240  x 100 = 5.08% ≈ 5%

2. What is the average number of female employees working in all the banks?

Solution: 

Female employees working in SBI = 950 – 570 = 380 

Female employees working in BOI = 875 – 350 = 525

Female employees working in BOB = 1080 – 574 = 506

Female employees working in OBC = 990 – 495 = 495

Female employees working in PNB = 1240 – 558 = 682

Avg. no. of female employees = (5380+525+506+495+682)/5

= 2588/5 = 517.6

3. What is the ratio of number of male employees who are working in SBI and BOI together to the number of female employees who are working in same bank?

Solution: 

Male employees working in SBI = 570 

Male employees working in BOI = 350 

Female employees working in SBI = 950 – 570 = 380 

Female employees working in BOI = 875 – 350 = 525 

Ratio = 570 + 350 : 380 + 525

 = 920 : 905

 = 184 : 181

4. The total number of employees who are working in BOM is 80% of the total number of employees who are working in BOB. Find the percentage of female employees who are working in BOM if the number of male employees is 648.

Solution:

Total number of employees who are working in BOB  = 1080 

Total number of employees who are working in BOM = 1080 x 80% = 864 

% of male employees = 648/864 x 100 = 75%

Percentage of female employees = 100 – 75% = 25% 

5. If 30% of the female employees who are working in SBI is post graduate, find the number of female employees who are working in SBI are not post graduate
Solution:

Female employees who are working in SBI = 950 – 570 = 380

Female employees who are post graduate = 380 x 30% = 114

Female employees who are not post graduate = 380 – 114 = 266

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FAQs on Column and Bar Graph - SBI PO Prelims & Mains Preparation - Bank Exams

1. What is a bar graph and its purpose?
Ans. A bar graph is a visual representation of data using rectangular bars to show the quantity of different categories. The length or height of each bar corresponds to the value it represents, making it easier to compare different groups or track changes over time.
2. What are the key components of a bar graph?
Ans. The key components of a bar graph include the title, axes (horizontal and vertical), bars (which represent data), labels (for categories and values), and a legend (if necessary) to explain the data represented.
3. What are the different types of bar graphs?
Ans. The different types of bar graphs include vertical bar graphs, horizontal bar graphs, stacked bar graphs, and grouped bar graphs. Each type is used based on the data representation needs, such as comparing multiple categories or showing part-to-whole relationships.
4. How do you construct a bar graph?
Ans. To construct a bar graph, first collect and organize your data, then draw the axes and label them with categories and values. Next, decide the scale for the bars, draw the bars based on the data values, and finally, add a title and any necessary labels or legends.
5. What are some common questions that can be solved using bar graphs?
Ans. Common questions that can be solved using bar graphs include comparing quantities among different categories, identifying trends over time, determining the highest or lowest values in a dataset, and analyzing the distribution of data points within categories.
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