MATH SOLVE

4 months ago

Q:
# the first quartile of a data set is 2.5. which statement about the data values is true? A) three-fourths of the values are less than or equal to 2.5, and one-fourth of the values are greater than or equal to 2.5. B) Half of the values are less than or equal to 2.5, and half of the values are greater than or equal to 2.5. C) One-fourth of the values are less than or equal to 2.5, and half of the values are greater than or equal to 2.5. D) one-fourth of the values are less than or equal to 2.5, and three-fourths of the values are greater than or equal to 2.5.

Accepted Solution

A:

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 Qβ divides the data set in 1:3. It means [tex]\frac{1}{4}[/tex] of the data set are less than or equal to Qβ and [tex]\frac{3}{4}[/tex] of the data set are more than or equal to Qβ.Second quartile Qβ divides the data set in 1:1. It means [tex]\frac{1}{2}[/tex] of the data values are less than or equal to Qβ and [tex]\frac{1}{2}[/tex] of the data values are more than or equal to Qβ.Third quartile Qβ divides the data set in 3:1. It means [tex]\frac{3}{4}[/tex] of the data values are less than or equal to Qβ and [tex]\frac{1}{4}[/tex] of the data values are more than or equal to Qβ.It is given that first quartile of a data set is 2.5. It means [tex]\frac{1}{4}[/tex] of the data set are less than or equal to 2.5 and [tex]\frac{3}{4}[/tex] of the data set are more than or equal to 2.5.Therefore the correct option is D.