According to the Empirical Rule,the Percentage of Observations in a Data

question 23

Multiple Choice

According to the Empirical Rule,the percentage of observations in a data set (providing that the data set has a bell-shaped and symmetric distribution) that should fall within two standard deviations of their mean is approximately:

• A)90%
• B)95%
• C)97.5%
• D)100%

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating the spread of data points.

Sampling Distribution

The distribution of probabilities for a certain statistic, originating from a random sample.

Normal Distribution

In this type of distribution, occurrences of data are more frequent near the mean and decrease in frequency as they move away from the mean, with the distribution being symmetric.

Sampling Distribution

The probability distribution of a statistic based on random samples from a population, used to estimate population parameters.