Find the interquartile range of the given dataset.

Question

11,13,22, 17, 14,21,27, 15
(1 point)

A. 21.5
B. 8
C. 13.5
D. 6.5

Answer 1

C. 13.5

To find the interquartile range, we first need to find the first quartile (Q1) and the third quartile (Q3).

1. Arrange the data in numerical order: 11, 13, 14, 15, 17, 21, 22, 27

2. Find the median (Q2) of the dataset, which is 16.

3. Q1 is the median of the lower half of the dataset: 13.

4. Q3 is the median of the upper half of the dataset: 22.

5. Calculate the interquartile range by subtracting Q1 from Q3: 22 - 13 = 9.

Therefore, the interquartile range is 9.