If a data set has one mode, will the mode be one of the scores in the set?
"Mode = the most frequently observed data value. As a set of data can have more than one mode, the mode does not necessarily indicate the centre of a data set. ... In fact, if the distribution is symmetrical and unimodal, then the mean, the median and the mode may have the same value."
Yes. By definition, the mode is the number that occurs most frequently in the set. Therefore it has to be in the set.
Yes, if a data set has one mode, then the mode will be one of the scores in the set. The mode is defined as the value that appears most frequently in the data set. Therefore, if only one value occurs most frequently, it will be the mode.
To determine the mode of a data set, you can follow these steps:
1. Choose a data set for analysis.
2. Organize the data in ascending or descending order.
3. Count the number of times each value appears in the data set.
4. Identify the value(s) that occur most frequently. These value(s) will be the mode(s) of the data set.
5. If there is a single value with the highest frequency, it will be the only mode. If multiple values have the same highest frequency, the data set is said to have multiple modes.
In summary, the mode of a data set with only one mode will indeed be one of the scores in the set.