A teacher gives a test in which the average of the test scores is 68 and the standard deviation is 14. Realizing that the test w
as probably too difficult, the teacher decides to scale the tests by adding 10 points to all scores. What is the mean and standard deviation of the scaled test scores?
When a constant value is added to the individual value of a dataset, the new mean value will become the sum of the initial mean value and the constant term added to the values.
Constant Added score = 10
The mean of scaled test score will be:
Mean score + constant added score
68 + 10 = 78
The standard deviation remains unchanged ; Hence, standard deviation = 14
