Find the interquartile range of the given dataset.

Question

11,13,22,17,14,21,27,15
(1 point)
21.5
13.5
8
6.5

Answer 1

To find the interquartile range, we first need to find the quartiles.

1. Arrange the data in ascending order: 11, 13, 14, 15, 17, 21, 22, 27
2. Find the median (Q2): 15.5
3. Find the median of the lower half of the data (Q1): (13 + 14) / 2 = 13.5
4. Find the median of the upper half of the data (Q3): (21 + 22) / 2 = 21.5

Now, calculate the interquartile range:
IQR = Q3 - Q1
IQR = 21.5 - 13.5
IQR = 8

Therefore, the interquartile range of the given dataset is 8.