For a set of data, the ratio of the standard deviation over the range will be about
A) .25
B) .75
C) 1.5
D) 4.

Question

Quizplus · Accepted Answer

The ratio of the standard deviation to the range for a set of data is typically around 0.25. This is a rough estimate and can vary depending on the distribution of the data, but it serves as a general guideline. The range measures the spread of the entire dataset, while the standard deviation measures how much the data varies around the mean. Since the standard deviation is a more concentrated measure of spread, it is usually smaller than the range, leading to the ratio being less than 1.

For a Set of Data, the Ratio of the Standard