Question Find the interquartile range of the given dataset. 11, 13, 22, 17, 14, 21, 27, 15 (1 point) Responses 13.5 13.5 21.5 21.5 8 8 6.5
To find the interquartile range, we first need to find the first quartile (Q1) and third quartile (Q3).
1. Arrange the dataset in ascending order: 11, 13, 14, 15, 17, 21, 22, 27
2. Find the median of the dataset. Since the dataset has an even number of values, find the average of the middle two values:
(15 + 17)/2 = 16
3. For the lower half of the dataset (11, 13, 14, 15), find the median (Q1):
(13 + 14)/2 = 13.5
4. For the upper half of the dataset (17, 21, 22, 27), find the median (Q3):
(21 + 22)/2 = 21.5
5. Calculate the interquartile range by subtracting Q1 from Q3:
21.5 - 13.5 = 8
Therefore, the interquartile range of the given dataset is 8.