Question

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)
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Answer 1

no

Answer 2

To find the third quartile value, we first need to arrange the data in ascending order.

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

The third quartile separates the highest 25% of the data from the lowest 75% of the data. In this case, the third quartile would be the value that sits at the 75th percentile.

Since there are 9 data points, the 75th percentile would be at the 6.75th position. This is calculated by taking 0.75 * (9+1) = 7.5.

Therefore, the 75th percentile is the average of the 7th and 8th data points: (29 + 30) / 2 = 29.5

So the third quartile value is 29.5.

Answer 3

Let's try finding it again:

The given data set is: 22, 29, 31, 30, 22, 24, 18, 20, 25

First, arrange the data in ascending order: 18, 20, 22, 22, 24, 25, 29, 30, 31

The third quartile, also known as the 75th percentile, is the value that separates the highest 25% of the data from the lowest 75% of the data.

Since there are 9 data points, the 75th percentile would be at the 6.5th position (0.75 * (9 + 1) = 7.5).

The third quartile value is the average of the 6th and 7th data points: (25 + 29) / 2 = 27

Therefore, the third quartile's value is 27.