Questions: Choose the correct description of the mode below. A. The mode is the middle value in a data set. It is not affected by outliers. B. The mode is the sum of all the values divided by the number of values. It is not affected by outliers. C. The mode is the sum of all the values divided by the number of values. It can be strongly affected by outliers. D. The mode is the most common value in a data set. It can be strongly affected by outliers. E. The mode is the most common value in a data set. It is not affected by outliers. F. The mode is the middle value in a data set. It can be strongly affected by outliers.

Solution Steps

To determine the correct description of the mode, we need to understand that the mode is the value that appears most frequently in a data set. It is not necessarily affected by outliers, as it depends on the frequency of values rather than their magnitude.

The mode of a data set is defined as the value that appears most frequently. It is important to note that the mode is not necessarily the middle value of the data set, which is the definition of the median.

We need to evaluate the provided options to identify the correct description of the mode:

• A: Incorrect, as it describes the median.
• B: Incorrect, as it describes the mean.
• C: Incorrect, as it describes the mean and states it can be affected by outliers.
• D: Partially correct, but states it can be affected by outliers, which is misleading.
• E: Correct, as it accurately states that the mode is the most common value and is not affected by outliers.
• F: Incorrect, as it describes the median.

Based on the evaluation, the correct description of the mode is that it is the most common value in a data set and is not affected by outliers.

Final Answer