Multiple choice general knowledge science & technology

The mean of a data set is equal to 10 and its standard deviation is equal to 1. If we add 5 to each data value, then the mean and standard deviation become

  1. mean = 15 , standard deviation = 6

  2. mean = 10 , standard deviation = 6

  3. mean = 15 , standard deviation = 1

  4. mean = 10 , standard deviation = 1
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C Correct answer
Explanation

Adding a constant to every data value increases the mean by that constant but does not change the spread. New mean = 10 + 5 = 15. Standard deviation remains 1 because adding a constant shifts all values equally without changing their dispersion.

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