Math Problem Statement

Adjust the pie chart to represent the proportion of products being worked on by each department.

Solution

The task is to adjust the pie chart to reflect the proportions of products being worked on by each department.

Departments and Products:

  1. Design: 11 products.
  2. R&D: 3 prototypes.
  3. Production: 4 products.
  4. Delivery: 2 products.

Total Products:

Total=11+3+4+2=20\text{Total} = 11 + 3 + 4 + 2 = 20

Calculating Percentages:

  • Design: (11/20)×100=55%(11 / 20) \times 100 = 55\%
  • R&D: (3/20)×100=15%(3 / 20) \times 100 = 15\%
  • Production: (4/20)×100=20%(4 / 20) \times 100 = 20\%
  • Delivery: (2/20)×100=10%(2 / 20) \times 100 = 10\%

Adjusted Pie Chart:

  • Blue (Design): 55%
  • Green (R&D): 15%
  • Red (Production): 20%
  • Orange (Delivery): 10%

You would need to modify the pie chart so the proportions match these percentages. Let me know if you need further clarification! 😊

Questions to Explore Further:

  1. How can percentages in pie charts be visually represented accurately?
  2. Why is proportional visualization important for such data?
  3. How might this data inform resource allocation in the company?
  4. Could a bar graph be more effective than a pie chart for this data?
  5. How would changes in one department's workload impact the others?

Tip:

Always ensure that the sum of percentages in a pie chart equals 100% to maintain accuracy and clarity.

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Math Problem Analysis

Mathematical Concepts

Percentage calculation
Proportional representation
Visualization with pie charts

Formulas

Percentage = (Part / Total) × 100

Theorems

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Suitable Grade Level

Grades 6-8