Weighted Average — Mains Questions

Explain the concept of weighted average with suitable examples and demonstrate how it differs from simple average in practical applications. Discuss its relevance in administrative decision-making processes.

A district collector needs to assess the overall literacy rate of the district comprising 5 blocks with different populations and literacy rates. Block A: 50,000 population with 75% literacy, Block B: 30,000 population with 80% literacy, Block C: 70,000 population with 65% literacy, Block D: 40,000 population with 85% literacy, Block E: 60,000 population with 70% literacy. Calculate the district's overall literacy rate and explain the methodology.

Analyze the role of weighted average in performance evaluation systems used in government organizations. Discuss how different components of performance can be assigned appropriate weights and the challenges involved in such systems.