Question

Which of the following statements about the mode is not true?

(a) It is not affected by extreme values.

(b) It is a measure of central tendency.

(c) It is always unique in the sample.

(d) can be found for categorical data.​

Answer 1

The statement that is not true about the mode is:

(c) It is always unique in the sample.

The mode can be unique in a sample if there is a single value that appears more frequently than any other, making it the mode. However, in cases where multiple values have the same highest frequency (bimodal or multimodal distributions), there can be more than one mode in a sample. So, the mode is not always unique in a sample.

Explanation: