Find the interquartile range of the given dataset.
11, 13, 22, 17, 14, 21, 27, 15
(1 point)
Responses
21.5
21.5
6.5
6.5
8
8
13.5
8
To find the interquartile range, first find the median of the lower half of the dataset (Q1) and the median of the upper half of the dataset (Q3).
Lower half: 11, 13, 14, 15
Upper half: 17, 21, 22, 27
Q1 = median of lower half = 13.5
Q3 = median of upper half = 19
Interquartile range = Q3 - Q1 = 19 - 13.5 = 5.5
So, the interquartile range of the given dataset is 5.5.
Find the interquartile range of the given dataset.
11, 13, 22, 17, 14, 21, 27, 15
(1 point)
Responses
21.5
21.5
6.5
6.5
8
8
13.5
pick from the list
13.5
To find the interquartile range, first find the first quartile (Q1) and third quartile (Q3), and then subtract Q1 from Q3.
First, order the dataset: 11, 13, 14, 15, 17, 21, 22, 27
Q1 = (14 + 15) / 2 = 14.5
Q3 = (21 + 22) / 2 = 21.5
Interquartile range = Q3 - Q1 = 21.5 - 14.5 = 7
Therefore, the interquartile range of the given dataset is 7.
The heights in inches of six basketball players at a local high school are given as a dataset.
70, 78, 74, 82, 68, 75
Find the range and the interquartile range of the dataset.
(1 point)
Responses
The range is 14, and the interquartile range is 8.
The range is 14, and the interquartile range is 8.
The range is 5, and the interquartile range is 8.
The range is 5, and the interquartile range is 8.
The range is 14, and the interquartile range is 74.5.
The range is 14, and the interquartile range is 74.5.
The range is 14, and the interquartile range is 4.5.
The range is 14, and the interquartile range is 8.
To find the range, subtract the minimum value from the maximum value:
Range = 82 - 68 = 14
To find the interquartile range, first find the first quartile (Q1) and third quartile (Q3), and then subtract Q1 from Q3.
Ordering the dataset: 68, 70, 74, 75, 78, 82
Q1 = (70 + 74) / 2 = 72
Q3 = (75 + 78) / 2 = 76.5
Interquartile range = Q3 - Q1 = 76.5 - 72 = 4.5
Therefore, the range is 14 and the interquartile range is 4.5 for the given dataset.