The list shows the number of employees at seven companies.
525, 650, 539, 643, 764, 539, 687
What is the interquartile range of these numbers?
To find the interquartile range, we first need to arrange the numbers in ascending order:
525, 539, 539, 643, 650, 687, 764
Next, we find the median of the data set. Since there are 7 numbers, the median will be the middle number. In this case, the median is 643.
To find the lower quartile (Q1), we need to find the median of the lower half of the data set. The lower half is {525, 539, 539}. Since there are 3 numbers, the median of the lower half will be the middle number, which is 539.
To find the upper quartile (Q3), we need to find the median of the upper half of the data set. The upper half is {650, 687, 764}. Since there are 3 numbers, the median of the upper half will be the middle number, which is 687.
Now, we can calculate the interquartile range by subtracting Q1 from Q3:
687 - 539 = 148
Therefore, the interquartile range of these numbers is 148.