Question

The percent of the observations that are classified as outliers:

a) Depends on the data set
b) Always 5%
c) Always 10%
d) Always 15%

Answer 1

The percent of observations that are classified as outliers depends on the data set.

Step-by-step explanation:

The statement 'The percent of the observations that are classified as outliers always depends on the data set' (option a) is true. The percent of observations that are classified as outliers can vary depending on the data set. Outliers are data points that are significantly different from the other data points in a set. They can affect the overall distribution and measures of central tendency such as the mean and median.

For example, in a data set where all values are close together and there are no extreme values, the percent of observations classified as outliers may be very low, such as 5% (option b) or even lower. However, in a data set where there are extreme values that are significantly different from the majority of the data points, the percent of observations classified as outliers may be higher, such as 10% (option c) or 15% (option d).

Therefore, the correct answer to the question is option a) Depends on the data set.