Find the interquartile range of the given dataset.
11, 13,22, 17, 14,21,27, 15
(1 point)
To find the interquartile range of the dataset, we first need to calculate the first quartile (Q1) and the third quartile (Q3).
First, let's arrange the data in ascending order:
11, 13, 14, 15, 17, 21, 22, 27
Next, we need to find the median of the lower half of the data to get Q1:
Lower half: 11, 13, 14, 15
Q1 = (13 + 14) / 2 = 13.5
Similarly, we find the median of the upper half to get Q3:
Upper half: 17, 21, 22, 27
Q3 = (21 + 22) / 2 = 21.5
Now, we can calculate the interquartile range:
IQR = Q3 - Q1
IQR = 21.5 - 13.5
IQR = 8
Therefore, the interquartile range of the given dataset is 8.