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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?

This question was previously asked in
NDA 2 2025 GAT Question Paper (14-Sep-2025)
The correct answer is

0.5

Adding a constant value to each observation does not affect the standard deviation, so the new standard deviation after division by 20 is 0.5.

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Similar Questions

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

Important Questions from Standard Deviation

  1. A cold drink bottling plant fills bottles of 500 ml. capacity with mean of 500 ml. and a standard deviation of 5 ml. Atleast what percentage of bottles would contain cold drink between 490 ml. and 510 ml.?

  2. The mean and standard deviation of 100 terms are 50 and 3, respectively. The sum of squares of the 100 terms is:

  3. Following are the ages (in years) of 6 people in a group: 25, 30, 35, 40, 45 and 50. What is the standard deviation of their ages (rounded to two decimal places)?
  4. If the mean of a random variable X following Poisson distribution is 3, then standard deviation of the distribution is:

  5. If the standard deviation of a population is 100, then based on a sample of size 100, the standard deviation of sample mean is equal to:

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