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

Question

Quizplus · Accepted Answer

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.

The Semester Point Totals of 16 Students Are Listed Below