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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the third quartile, you need to first arrange the data in ascending order:

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

The third quartile is the median of the upper half of the data set. Since there are an odd number of data points in the upper half (4 data points), the median will be the middle data point, which is 24.

Therefore, the third quartile's value is 24.

Answer 2

Wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. Let's find the third quartile correctly.

Given dataset: 18, 20, 22, 22, 24, 25, 29, 30, 31

To find the third quartile (Q3), we need to split the data into two halves. Q3 is the median of the second half of the data set.

Second half of the data set: 25, 29, 30, 31

Since there are an even number of data points in the second half, we take the average of the two middle values:

(29 + 30) / 2 = 59 / 2 = 29.5

Therefore, the third quartile's value is 29.5.

Answer 4

Correct answer is 29.5

Answer 5

[AI-generated answer — Bot GPT 3.5]

Thank you for confirming. I appreciate your help in verifying the correct answer. If you have any more questions or need further assistance, feel free to ask!