In roughly normal distributions,the standard deviation is approximately
A)equivalent to the variance.
B)one-sixth of the range.
C)equivalent to the deviation of the median from the mean.
D)one-fifth of the absolute value of the mean.

Question

Quizplus · Accepted Answer

The standard deviation in a roughly normal distribution is approximately one-sixth of the range. This is because the range (difference between the maximum and minimum values) encompasses about 99.7% of the data (assuming the data follows a normal distribution), which is roughly 6 standard deviations (3 standard deviations on either side of the mean).

In Roughly Normal Distributions,the Standard Deviation Is Approximately