Choose the correct option regarding mode of a data set.
Statement I: Numerical data can have a mode, but categorical data cannot have any mode.
Statement II: The mode is always one of the values of the data set.
A
Both the statements are correct.
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B
Only statement II is correct.
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Solution
The correct option is B Only statement II is correct. Let's take an example to understand the provided statements.
Consider the following data set of alphabets:
D
C
B
C
A
By arranging them in alphabetical order we get,
A
B
C
C
D
We find that the alphabet C is occurring 2 times.
Hence, the mode of the data set is C.
Here, the data set contains non-numerical characters, i.e., it is categorical data, but it has a mode.
Secondly, the mode is a character that is present in the given data set.
∴Statement I is wrong, whereas statement II is correct.