Question
The standard deviation of 100 observations is 10. If 5 is multiplied to each of the observations, then what is the new standard deviation ?
NDA
Mathematics
Statistics
2026
NDA 2026 (Phase 1)
NDA Mathematics Question (2026) — Solution
Options
- A. 20
- B. 25
- C. 40
- D. 50
Answer
D. 50
Step-by-step solution
Given the standard deviation of 100 observations is = 10. If each observation in a dataset is multiplied by a constant k, the new standard deviation becomes |k| . Here, k = 5. New standard deviation = 5 10 = 50. Answer: 50
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