Question

Choose the correct option regarding the following statements on the measure of central tendency.

Statement I: It provides information about the data set without listing all its values.

Statement II: It helps comparing data sets.

• A. Only Statement I is correct.
• B. Both the statements are correct.
• C. Only Statement II is correct.
• D. Both the statements are incorrect

Answer 1

The correct option is B Both the statements are correct.

A value for the data set that can be used as a representative for the collection of data is called the $\text{measure of central tendency}$.

Let's go through an example:
Grade 4 Grade 5 Number of Students

30	20

The number of students in Grade 4 equals to 30

The number of students in Grade 4 equals to 20

$\therefore$ The number of students in Grade 5 is less than that of Grade 4.

Hence, the measure of central tendency provides information about the data set without listing all its values and helps in comparing data sets

$\therefore$ Both statements I and II are correct, i.e., (b.) is the correct option.