If a particular batch of data is approximately normally distributed,we would find that approximately
A) 19 of every 20 observations would fall between ± 2 standard deviations around the mean.
B) 4 of every 5 observations would fall between ± 1.28 standard deviations around the mean.
C) 2 of every 3 observations would fall between ± 1 standard deviation around the mean.
D) All the above.

Question

Quizplus · Accepted Answer

The statements in options A, B, and C are all approximations based on the properties of the normal distribution. Specifically, about 95% of observations fall within ±2 standard deviations (A), about 80% within ±1.28 standard deviations (B), and about 68% within ±1 standard deviation (C) from the mean in a normal distribution.

If a Particular Batch of Data Is Approximately Normally Distributed,we