Measures of Variation Quick Check.

Find the interquartile range of the given dataset. 11, 13, 22, 17, 14, 21, 27, 15. (1 point)

1 answer

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.