Consider the following data set: 3,4,6,7,9,9,11

If 5 were added to each of the values, how would that affect the standard deviation (no need to do any calculation, but be sure to explain why.)

Question

Mathematics

Alexia Bonilla

23 November, 01:49

Consider the following data set: 3,4,6,7,9,9,11

If 5 were added to each of the values, how would that affect the standard deviation (no need to do any calculation, but be sure to explain why.)

+1

Answers (1)

Know the Answer?

Butter · Answer 1

The standard deviation measures how spread out the data is (from the center mean). Adding 5 to each value will NOT change the standard deviation at all. The entire distribution will be shifted 5 units to the right, but will retain the same shape and spread. Only the center will change.

Consider the following data set: 3,4,6,7,9,9,11If 5 were added to each of the values, how would that affect the standard deviation (no need to do any calculation, but be sure to explain why.)

Consider the following data set: 3,4,6,7,9,9,11

If 5 were added to each of the values, how would that affect the standard deviation (no need to do any calculation, but be sure to explain why.)