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

Question

Quizplus · Accepted Answer

Each statement describes a different rule of thumb for the distribution of data in a normal distribution: A) ~68% within 1 standard deviation (68-95-99.7 rule), B) not a standard rule but implies a specific percentage within 1.28 standard deviations, and C) ~95% within 2 standard deviations. However, the question seems to be incorrectly formatted, leading to confusion. The correct interpretation of normal distribution principles would be approximately 68% of data within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations from the mean. The options provided do not accurately reflect these principles, suggesting a misunderstanding in the formulation of the options.

If a Set of Data Is Approximately Normally Distributed,we Would ±\pm±

If a Set of Data Is Approximately Normally Distributed,we Would $\pm$