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.(1 point)

Answer 1

To find the third quartile's value, we need to first arrange the dataset in ascending order: 18, 20, 22, 22, 24, 25, 29, 30, 31.

Since there are 9 numbers in the dataset, the third quartile is the number that splits the upper half of the dataset into two equal parts, which falls on the 75th percentile.

To find the index of the number that represents the 75th percentile, we use the formula: index = (n + 1) * P / 100.
In this case, index = (9 + 1) * 75 / 100 = 10 * 0.75 = 7.5.

Since the index is a non-integer value, we need to take the average of the numbers at the 7th and 8th positions in the dataset: (25 + 29) / 2 = 54 / 2 = 27.

Therefore, the third quartile's value is 27.

Answer 2

wrong

Answer 3

Apologies for the incorrect response. Let's recalculate the third quartile using the correct methodology.

To find the third quartile, we need to first arrange the dataset in ascending order: 18, 20, 22, 22, 24, 25, 29, 30, 31.

Since there are 9 numbers in the dataset, the third quartile is the number that splits the upper half of the dataset into two equal parts, which falls on the 75th percentile.

To find the index of the number that represents the 75th percentile, we use the formula: index = (n + 1) * P / 100.
In this case, index = (9 + 1) * 75 / 100 = 10 * 0.75 = 7.5.

Since the index is a non-integer value, we need to take the average of the numbers at the 7th and 8th positions in the dataset: (25 + 29) / 2 = 54 / 2 = 27.

Therefore, the third quartile's value is 27.

Answer 4

Given the following dataset, what are the extremes?
58, 32, 8, 25, 13, 12, 3, 11, 22, 10(1 point)
The smallest extreme value is
.
The largest extreme value is
.