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Question

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:

This question was previously asked in
SSC CGL 2024 (Tier-I) Previous Year Paper (17-Sep-2024) (Shift 3)
The correct answer is

10

The standard deviation of the sample mean (also known as the standard error of the mean) is calculated as:
Standard error = σ / √n, where σ is the population standard deviation and n is the sample size.
Given that σ = 100 and n = 100:
Standard error = 100 / √100 = 100 / 10 = 10.
The standard deviation of the sample mean is 10.

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Similar Questions

  1. If the mean of a random variable X following Poisson distribution is 3, then standard deviation of the distribution is:

  2. A set of n values X1, X2,...,Xn has a standard deviation of 5. The standard deviation of n values X1−7, X2−7,...,Xn−7 will be:


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. What is the median of 8, 5, 7, 9, 11, 6, 10?

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