Question

Comment on the mode of the numerical or categorical data set, where all the numbers/objects appear three times.

• A. It has no mode.
• B. It is unimodal data.
• C. It is bimodal data.

Answer 1

The correct option is A It has no mode.

If every value occurs the same number of times in a data set, then the data set has no mode.

For an example, consider the following data set:

11	22	33	12	11
23	12	23	22	33
11	12	22	23	33

After arranging the data set in ascending order, we get

11	11	11	12	12
12	22	22	22	23
23	23	33	33	33

From the above table, it is clear that all the numbers ($11$, $12$, $22$, $23$ and $33$) appear exactly $3$ times.

$\therefore$ The considered data set has $\text{no mode}$.