Data Handling and Presentation | IT

Question 11

Use the bar graph to answer the following questions:

  1. Is the cost of electricity about one-half the cost of education?
Question diagram 1
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Solution
Understand the Question
  • From the bar graph, determine the expenditure for Electricity and Education by reading the heights of their respective bars.
  • Divide the cost of education by 22 to find half of its cost.
  • Compare the cost of electricity to half the cost of education to determine if they are equal.

Step 1 · Find Electricity Cost

From the bar graph, the bar for Electricity reaches the 400400 mark.Diagram 1

Cost of Electricity=₹ 400\text{Cost of Electricity} = \text{₹ }400

Step 2 · Find Education Cost

From the bar graph, the bar for Education reaches the 800800 mark.Diagram 2

Cost of Education=₹ 800\text{Cost of Education} = \text{₹ }800

Step 3 · Compare the Costs

Calculate half of the education cost

Half of Education cost=₹ 800÷2=₹ 400\begin{aligned} \text{Half of Education cost} &= \text{₹ }800 \div 2 \\[0.6em] &= \text{₹ }400 \end{aligned}

Since Cost of Electricity=Half of Education cost=₹ 400\text{Cost of Electricity} = \text{Half of Education cost} = \text{₹ }400, the cost of electricity is one-half the cost of education.

Answer

Yes

Common Mistakes
  • Misreading Bar Values: Always check the vertical axis markings carefully to read the exact values (₹400400 for Electricity, ₹800800 for Education).
  • Direct Comparison Error: Forgetting to divide the Education cost by 22 before comparing it with the Electricity cost.

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