Multiple choice

If all the observations are divided by 3, then

  1. new standard deviation would be also divided by 3

  2. new standard deviation would be multiplied by 3

  3. new standard deviation would be increased by 3

  4. new standard deviation would be decreased by 3
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A Correct answer
Explanation

Standard deviation is a measure of dispersion. If all observations are divided by a constant k, the new standard deviation is the original standard deviation divided by |k|.

AI explanation

When all observations in a data set are divided by a constant factor, the standard deviation of the data is also divided by that same factor. Therefore, if every observation is divided by 3, the new standard deviation would be also divided by 3.

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