The data shows the number of comedians at different performances across the city.
Find the range of the data set.
61
65
75
77
81
83
85
87
The range of the data set is
26
.
Great job!
Find the IQR of the data set.
61
65
75
77
81
83
85
87
The IQR of the data set is
.
14.
To find the IQR, first find the median of the data set. In this case, the median is the average of the middle two numbers: (77+81)/2 = 79.
Next, divide the data set into two halves: {61, 65, 75} and {81, 83, 85, 87}.
Find the median of the lower half: (65+75)/2 = 70.
Find the median of the upper half: (83+85)/2 = 84.
Subtract the lower median from the upper median: 84 - 70 = 14.
So, the IQR of the data set is 14.