Allied & ICAR Exam Bank • ALLIED_2580 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Data Interpretation

Question Statement:

Over five successive days, an automated weather station logged wind speeds of 12, 15, 18, 14, and 21 km/h. The sample standard deviation squared (variance) of these 5 readings is:

Answer Key:

12.5

Step-by-Step Solution & Explanation

Mean $= (12+15+18+14+21)/5 = 80/5 = 16$. Deviations: -4, -1, +2, -2, +5. Squared deviations: 16, 1, 4, 4, 25. Sum $= 50$. Population variance $= 50 / 5 = 10$. Sample variance ($n-1 = 4$) $= 50 / 4 = 12.5$.
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