Question

1. the mode of a data set is:

a. found by dividing the sum of all values by the number of values
b. always unique
c. the difference between the highest and lowest values
d. the value that appears most frequently

Explanation:

• Option a: This describes the mean (average), not the mode. The formula for the mean is $\frac{\sum_{i = 1}^{n}x_{i}}{n}$ where $x_{i}$ are the data values and $n$ is the number of data values.
• Option b: A data - set can have no mode (if all values occur with the same frequency) or more than one mode (bimodal, trimodal, etc.). So, it is not always unique.
• Option c: This describes the range ($\text{Range}=\text{Max}-\text{Min}$), not the mode.
• Option d: By definition, the mode of a data set is the value that appears most frequently.

Answer:

d. The value that appears most frequently