Multiple choice

There is a set of $80$ observations with a mean of $15$ and a standard deviation of $0$. What is the value of the smallest observation in the set?

  1. 10

  2. 15

  3. 20

  4. 0
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B Correct answer
Explanation

Standard deviation of 0 means all observations in the set are identical. Since the mean is 15, every observation must be 15.

AI explanation

A standard deviation of 0 indicates that there is absolutely no dispersion or variation within the data set, meaning every observation is identical. Since the mean of the 80 observations is 15, every single value in the set must be exactly 15. Therefore, the value of the smallest observation is 15.

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