To find the interquartile range (IQR), we first need to find the median (Q2) of the dataset.
11, 13, 14, 15, 17, 21, 22, 27
Q2 = (15 + 17)/2 = 16
Next, we need to find the median of the lower half of the dataset (Q1) and the median of the upper half of the dataset (Q3).
Lower half: 11, 13, 14, 15
Q1 = (13 + 14)/2 = 13.5
Upper half: 17, 21, 22, 27
Q3 = (21 + 22)/2 = 21.5
Finally, we can calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 21.5 - 13.5 = 8
Therefore, the interquartile range of the given dataset is 8.
Find the interquartile range of the given dataset.
11, 13, 22, 17, 14, 21, 27, 15
1 answer
1 answer