The data set is: 2, 3, 6, 7, 12. A measure of dispersion is calculated, and it is about 3.5. What is this measure of dispersion?

Question

Quizplus · Accepted Answer

The measure of dispersion that is approximately 3.5 for the given data set is the standard deviation. The standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range. The calculation of the standard deviation involves finding the square root of the variance, which is the average of the squared differences from the Mean. Given the small data set and the value of about 3.5, it is reasonable to conclude that this is referring to the standard deviation.

The Data Set Is: 2, 3, 6, 7, 12