A distribution in which approximately $68 \%$ of the data values fall within one standard deviation of the mean behaves according to
A) the empirical rule.
B) a symmetrical distribution.
C) a boxplot.
D) differential statistics.

Question

Quizplus · Accepted Answer

The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Therefore, Option A is the best choice. Option B is also true as a normal distribution is symmetrical, but it is not an exclusive behavior of the normal distribution. Option C and D are not appropriate for the given context.

A Distribution in Which Approximately 68%68 \%68% Of the Data Values Fall Within One Standard Deviation of Values

A Distribution in Which Approximately $68 \%$ Of the Data Values Fall Within One Standard Deviation of Values