Sampling Error Numerical Calculation
Consider 5 farmers with incomes: 500, 550, 600, 650, 700. A sample of 2 farmers with incomes 500 and 600 is selected. What is the sampling error?
- 25
- 50 — Correct Answer
- 100
- 75
Explanation:
Correct Answer Explanation
The sampling error is 50.
Step-by-Step Calculation:
- Population: 500, 550, 600, 650, 700 (5 farmers)
- Population Average = (500+550+600+650+700) ÷ 5 = 3000 ÷ 5 = 600
- Sample: 500 and 600 (2 farmers)
- Sample Average = (500+600) ÷ 2 = 1100 ÷ 2 = 550
- Sampling Error = True Value − Estimate = 600 − 550 = 50
Key Insight:
This error can be reduced by taking a larger sample that better represents the population.
📚 About this Topic — CH-2: Collection of Data
This multiple choice question is from CH-2: Collection of Data, NCERT Books, Statistics for Economics. It has 4 options with a detailed explanation of the correct answer. Practice more MCQs from CH-2: Collection of Data to strengthen your preparation.
