Question

Choose the correct option regarding the following statements:

Statement I: The measures of central tendencies are mean, median and mode.

Statement II: The measure of central tendency always represent a single value/categorical data.

• A. Only statement I is correct.
• B. Both the statements are correct.
• C. None of the above.

Answer 1

The correct option is A Only statement I is correct.

The measures of central tendencies are mean, median and mode.
They represent a central value that provides an idea of the whole data set.

For example, on average, the distance covered by Oliver during the morning walk is $5\text{km}$ per day.
So, we can interpret that he walks more or less $5\text{km}$ daily.

For the bimodal data set, we get two modes appearing most often and an equal number of times.

Consider the example: $1,3,4,4,6,7,9,9$

Here, $4$ and $9$ occur the most number of times, i.e., twice.

$\therefore$ Modes are $4$ and $9.$

Also, the central tendencies, in this case, are $4$ and $9.$

$\therefore$ It is possible that the measure of central tendency represents two or more values/categorial data points.