Find the interquartile range of the given dataset. 11, 13, 22, 17, 14, 21, 27, 15 (1 point) Responses 6.5 6.5 13.5 13.5 8 8 21.5
The interquartile range (IQR) is calculated by finding the difference between the first quartile (Q1) and the third quartile (Q3).
First, we need to find Q1 and Q3.
1. Arrange the dataset in ascending order: 11, 13, 14, 15, 17, 21, 22, 27
2. Determine the median of the lower half of the dataset (Q1): Q1 = 14
3. Determine the median of the upper half of the dataset (Q3): Q3 = 21
Now, calculate the IQR by finding the difference between Q3 and Q1:
IQR = Q3 - Q1
IQR = 21 - 14
IQR = 7
Therefore, the interquartile range of the given dataset is 7.