The percentage of all observations in a data set that lies between the 30th percentile and the third quartile: a. equals 30 b. equals 75 c. equals 85 d. cannot be determined without additional information e. equals 45

Answer: e. equals 45

Step-by-step explanation:

Quartile is a statistical measurement that divides statistical data into four quarters. While percentile divides data in form of percentage (100%).

The relationship between the two is that first quartile is 25th percentile, second quartile is 50th percentile and third quartile is 75th percentile.

Therefore, the percentage of all observations in a data set that lies between the 30th percentile and the third quartile is

3rd Quartile = 75th percentile

And 30th percentile

difference = (75 - 30) = 45 %

Therefore, 45% of all observations in a data set lies between the 30th percentile and the third quartile