consider the following dataset: 22, 29, 31, 30, 22, 24, 18, 20, 25. What is the third quartile's value? Round to the nearest tenth if necessary.

Answer 1

To find the third quartile (Q3), we first need to sort the dataset in ascending order:

18, 20, 22, 22, 24, 25, 29, 30, 31

Since there are 9 data points, Q3 is the average of the two middle values when the data set is odd. In this case, Q3 is the average of the 5th and 6th values:

Q3 = (24 + 25) / 2

Q3 = 24.5

Therefore, the third quartile's value is 24.5.

Answer 2

wrong

Answer 3

Apologies for the mistake.

To find the third quartile (Q3), we need to calculate the median of the upper half of the dataset.

The dataset in ascending order is: 18, 20, 22, 22, 24, 25, 29, 30, 31

The upper half of the dataset is: 25, 29, 30, 31

Since there are 4 data points in the upper half, the median is the average of the two middle values:

Q3 = (29 + 30) / 2
Q3 = 29.5

Therefore, the third quartile's value is 29.5.

Answer 4

Given the following dataset, what is the first quartile? Round to the nearest tenth if necessary.
42, 82, 67, 34, 54, 62, 17, 47, 56, 18, 20.

Answer 5

To find the first quartile (Q1), we first need to sort the dataset in ascending order:

17, 18, 20, 34, 42, 47, 54, 56, 62, 67, 82

Since there are 11 data points, Q1 is the median of the lower half of the dataset. In this case, Q1 is the median of the values below the overall median (42).

The lower half of the dataset is: 17, 18, 20, 34, 42

Since there are 5 data points in the lower half, the median is the middle value:

Q1 = 20

Therefore, the first quartile's value is 20.