NDA_Math_2025_Q54

Question:

The standard deviation of 100 observations is 10. If 5 is added to each observation and then divided by 20, then what will be the new standard deviation?

The standard deviation of 100 observations is 10. If 5 is added to each observation and then divided by 20, then what will be the new standard deviation?

Options:

  • a) 0.25
  • b) 0.5
  • c) 0.75
  • d) 1.00
  • a) 0.25
  • b) 0.5
  • c) 0.75
  • d) 1.00

correct answer : b)

Explanation:

When 5 is added to each
observation then the standard deviation is not
changed
\ New standard deviation =
10
20
= 0.5

When 5 is added to each
observation then the standard deviation is not
changed
\ New standard deviation =
10
20
= 0.5

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