Measures of Variation Quick Check.
Find the interquartile range of the given dataset. 11, 13, 22, 17, 14, 21, 27, 15. (1 point)
To find the interquartile range, first find the first and third quartiles.
First, organize the dataset in numerical order: 11, 13, 14, 15, 17, 21, 22, 27.
The first quartile (Q1) is the median of the lower half of the dataset, which is between 13 and 14. Q1 = 13.
The third quartile (Q3) is the median of the upper half of the dataset, which is between 21 and 22. Q3 = 21.
Now, calculate the interquartile range by subtracting Q1 from Q3: Q3 - Q1 = 21 - 13 = 8.
Therefore, the interquartile range of the given dataset is 8.