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 find the first quartile (Q1) and the third quartile (Q3).
To find Q1, we need to find the median of the lower half of the data. So, we arrange the numbers in ascending order:
525, 539, 539, 643, 650, 687, 764
The median of the lower half would be the middle number, which is 643. So, Q1 = 643.
To find Q3, we need to find the median of the upper half of the data. So, we arrange the numbers in ascending order:
525, 539, 539, 643, 650, 687, 764
The median of the upper half would be the middle number, which is 650. So, Q3 = 650.
Finally, we can find the interquartile range by subtracting Q1 from Q3:
IQR = Q3 - Q1
IQR = 650 - 643
IQR = 7
Therefore, the interquartile range of these numbers is 7.