Consider the following statements: 1. If the original scores in a sample are multiplied by a constant, then mean and standard deviation are also multiplied by the same constant. 2. If the original scores in a sample are multiplied by a constant, then standard deviation is multiplied by the absolute constant. 3. If a constant number is added to each of the original scores then the new standard deviation remains unchanged. Which of the above statements are correct?

Q11Section I (Objective (Q1–Q80))11 of 80

Statistical Inference — effect of linear transformations on mean and SD

Consider the following statements:

If the original scores in a sample are multiplied by a constant, then mean and standard deviation are also multiplied by the same constant.
If the original scores in a sample are multiplied by a constant, then standard deviation is multiplied by the absolute constant.
If a constant number is added to each of the original scores then the new standard deviation remains unchanged.

Which of the above statements are correct?

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