The list shows the number of employees at seven companies.

Question

525,650,539,643,764,539,687
What is the interquartile of these numbers

Answer 1

To find the interquartile range, we first need to find the first quartile (Q1) and the third quartile (Q3).

First, let's arrange the numbers in ascending order:
525, 539, 539, 643, 687, 764, 650

In this case, we only have an odd number of data points, so the median is the middle number, which is 643.

Now we need to find the median of the lower half of the data and the median of the upper half of the data to find Q1 and Q3.

Lower half: 525, 539, 539
Upper half: 650, 643, 687, 764

Q1 is the median of the lower half: (539 + 539) / 2 = 539

Q3 is the median of the upper half: (643 + 687) / 2 = 665

Now, we can calculate the interquartile range (IQR) by subtracting Q1 from Q3:
665 - 539 = 126

Therefore, the interquartile range of the numbers is 126.