Final answer:
The statement is true; when you add or subtract a constant from all data values, measures of centre such as mean and median change, but measures of spread like standard deviation do not.
Step-by-step explanation:
Shifting changes the measures of centre but not the measures of spread. This statement is true. When a constant is added to or subtracted from each value in a dataset, the measures of central tendency (mean, median, and mode) will also shift by that constant.
However, the measures of spread, such as the range, variance, and standard deviation, do not change as they are dependent on the differences between the values, not their absolute amounts. For example, if every test score in a class is increased by 5 points, the average score (mean) and the middle score (median) will both increase by 5 points, but the spread between the scores remains the same.