Solved on Jan 31, 2024
There is no mode when all data values are distinct. True or False?
STEP 1
Assumptions
1. A mode is the value that appears most frequently in a data set.
2. A data set can have one mode, more than one mode, or no mode.
3. The statement to evaluate is: "There is no mode when all values in the data set are different."
STEP 2
Understand the definition of mode in the context of a data set. A mode is the number that appears most frequently in a data set.
STEP 3
Consider a data set where all values are different. In such a case, no single value repeats.
STEP 4
Since no value repeats, there is no value that occurs more frequently than others.
STEP 5
According to the definition of mode, if no value repeats more frequently than others, there is no mode.
STEP 6
Therefore, the statement "There is no mode when all values in the data set are different" is true.
True is the correct answer.
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