Question - Calculating Interquartile Range of a Data Set
Solution:
To find the interquartile range (IQR) of a data set, we must first determine the first quartile (Q1) and the third quartile (Q3) and then subtract the first quartile from the third quartile: IQR = Q3 - Q1.The data set provided is:36, 44, 44, 68, 71, 75Since there are six data points, Q1 will be the value between the second and third data points, and Q3 will be the value between the fifth and sixth data points.To calculate Q1, we take the average of the second and third values (since they're both 44, the average is 44), so Q1 = 44.To calculate Q3, we take the average of the fifth and sixth values: (71 + 75)/2 = 146/2 = 73.Now, let's calculate the IQR:IQR = Q3 - Q1IQR = 73 - 44IQR = 29Thus, the interquartile range of the data set is 29.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com