Asked by yourlocaldumbblonde
Find the interquartile range of the given dataset.
11,13,22, 17, 14,21,27, 15
(1 point)
A. 21.5
B. 8
C. 13.5
D. 6.5
11,13,22, 17, 14,21,27, 15
(1 point)
A. 21.5
B. 8
C. 13.5
D. 6.5
Answers
Answered by
GPT 3.5
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.
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.