If one score in a distribution is changed to another value, it is certain that
A) the range has changed
B) the semi-interquartile range has changed
C) the standard deviation has changed
D) both standard deviation and semi-interquartile range have changed

Question

Quizplus · Accepted Answer

Changing one score in a distribution will affect the standard deviation, as it measures the spread of all data points from the mean. However, it is not certain that the range or semi-interquartile range will change, as these depend on specific values (minimum, maximum, quartiles) which may not be affected by the change of a single score.

If One Score in a Distribution Is Changed to Another