Asked by Misti Graham on Jun 11, 2024
Verified
The semester point totals of 16 students are listed below.Find the interquartile range (IQR) by hand. 787 640 820 677
475 611 527 667
574 687 875 512
592 460 542 490
A) 297
B) 165
C) 162.5
D) 592
E) 611
Interquartile Range
The difference between the upper and lower quartiles in a data set, measuring the spread of the middle half of the data points.
Semester Point
Typically refers to a system calculating academic performance, such as grade points accumulated in a semester.
- Determine the interquartile range (IQR) and implement it in different datasets.
Verified Answer
AF
Ahmad FarooqJun 16, 2024
Final Answer :
C
Explanation :
The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). First, we need to order the data from smallest to largest: 460, 475, 490, 512, 527, 542, 574, 592, 611, 640, 667, 677, 687, 787, 820, 875. With 16 data points, Q1 is the average of the 4th and 5th values (512 and 527), and Q3 is the average of the 12th and 13th values (677 and 687). Q1 = (512 + 527) / 2 = 519.5, Q3 = (677 + 687) / 2 = 682. So, IQR = Q3 - Q1 = 682 - 519.5 = 162.5.
Learning Objectives
- Determine the interquartile range (IQR) and implement it in different datasets.