Find the interquartile range of the given dataset.

To find the interquartile range (IQR) of a dataset, you first need to find the first quartile (Q1) and the third quartile (Q3).

1. To find Q1:
Arrange the numbers in ascending order: 11, 13, 14, 15, 17, 21, 22, 27
Since there are 8 numbers in the dataset, Q1 will be the average of the 4th and 5th numbers (15 and 17).
Q1 = (15 + 17) / 2 = 16

2. To find Q3:
Q3 will be the average of the 6th and 7th numbers (17 and 21).
Q3 = (17 + 21) / 2 = 19

3. Calculate the IQR:
IQR = Q3 - Q1 = 19 - 16 = 3

Therefore, the interquartile range of the given dataset is 3.

13.5
13.5

21.5
21.5

8
pike one

8

6.5

It seems like you have provided more numbers and it looks like the dataset is: 11, 13, 22, 17, 14, 21, 27, 15, 13.5, 13.5, 21.5, 21.5, 8, 8, 6.5

Let's arrange the numbers in ascending order: 6.5, 8, 8, 11, 13, 13, 13.5, 13.5, 14, 15, 17, 21, 21.5, 21.5, 22, 27

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

Q1 will be the average of the 4th and 5th numbers (13 and 13.5):
Q1 = (13 + 13.5) / 2 = 13.25

Q3 will be the average of the 12th and 13th numbers (21 and 21.5):
Q3 = (21 + 21.5) / 2 = 21.25

Now we can calculate the interquartile range (IQR):
IQR = Q3 - Q1 = 21.25 - 13.25 = 8

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

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 4.5.
The range is 14, and the interquartile range is 4.5.

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 8.
The range is 14, and the interquartile range is 8.

The range is 14, and the interquartile range is 74.5.
pike one

To find the range and interquartile range of the given dataset: 70, 78, 74, 82, 68, 75

1. Range:
The range is the difference between the maximum and minimum values in the dataset.
Range = Maximum value - Minimum value
Range = 82 - 68
Range = 14

2. Interquartile Range (IQR):
To find the interquartile range, we need to first find the first quartile (Q1) and the third quartile (Q3).

Q1 will be the average of the 2nd and 3rd values (70 and 74):
Q1 = (70 + 74) / 2
Q1 = 72

Q3 will be the average of the 4th and 5th values (74 and 78):
Q3 = (74 + 78) / 2
Q3 = 76

Now we can calculate the interquartile range (IQR):
IQR = Q3 - Q1
IQR = 76 - 72
IQR = 4

Therefore, the correct response is:
The range is 14, and the interquartile range is 4.

The range is 14, and the interquartile range is 4.5.
The range is 14, and the interquartile range is 4.5.

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 8.
The range is 14, and the interquartile range is 8.

The range is 14, and the interquartile range is 74.5.
pike one

The correct response is:

The range is 14, and the interquartile range is 4.5.