The list shows the number of employees at seven companies.
What is the interquartile range of these numbers?
. 525, 650, 539, 643, 764, 539, 687
To find the interquartile range, we first need to find the first quartile (Q1) and the third quartile (Q3).
To do this, we need to order the numbers from least to greatest:
525, 539, 539, 643, 650, 687, 764
Next, we find the median, which is the middle number. In this case, since there are 7 numbers, the median is the (7+1)/2 = 4th number, which is 643.
Next, we split the list into two halves. The first half is:
525, 539, 539
The second half is:
650, 687, 764
To find Q1, we find the median of the first half. Since there are 3 numbers, the median is the (3+1)/2 = 2nd number, which is 539.
To find Q3, we find the median of the second half. Since there are 3 numbers, the median is the (3+1)/2 = 2nd number, which is 687.
Now, we can find the interquartile range by subtracting Q1 from Q3:
687 - 539 = 148
So, the interquartile range of these numbers is 148.