Question

The first quartile of a data set is 2.5. which statement about the data values is true?

Answer 1

Answer:

The correct option is D.

Step-by-step explanation:

In a data set we have three quartiles and the second quartile is known as median.

First quartile Q₁ divides the data set in 1:3. It means $\frac{1}{4}$ of the data set are less than or equal to Q₁ and $\frac{3}{4}$ of the data set are more than or equal to Q₁.

Second quartile Q₂ divides the data set in 1:1. It means $\frac{1}{2}$ of the data values are less than or equal to Q₂ and $\frac{1}{2}$ of the data values are more than or equal to Q₂.

Third quartile Q₃ divides the data set in 3:1. It means $\frac{3}{4}$ of the data values are less than or equal to Q₃ and $\frac{1}{4}$ of the data values are more than or equal to Q₃.

It is given that first quartile of a data set is 2.5. It means $\frac{1}{4}$ of the data set are less than or equal to 2.5 and $\frac{3}{4}$ of the data set are more than or equal to 2.5.

Therefore the correct option is D.