A video game player had the following scores: 287, 389, 287, 329, 295, 290, 397, 387, 365. What does the IQR indicate about this dataset?(1 point) Responses An IQR of 99.5 indicates that the video game player had a relatively small variability for their middle scores. An IQR of 99.5 indicates that the video game player had a relatively small variability for their middle scores. An IQR of 329 indicates that the center of the data is around this score. An IQR of 329 indicates that the center of the data is around this score. An IQR of 329 indicates that the video game player had a relatively large variability for their middle scores. An IQR of 329 indicates that the video game player had a relatively large variability for their middle scores. An IQR of 99.5 indicates that the average score was 99.5 points.

Answer 1

To analyze the provided scores and find the Interquartile Range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3).

Here are the steps:

1. Sort the scores in ascending order:

   • 287, 287, 290, 295, 329, 365, 387, 389, 397

2. Find Q1 (the first quartile):

   • Q1 is the median of the first half of the data. The first half is 287, 287, 290, 295.
   • The median of these values (the average of the two middle values, 287 and 290) is (287 + 290) / 2 = 288.5.

3. Find Q3 (the third quartile):

   • Q3 is the median of the second half of the data. The second half is 329, 365, 387, 389, 397.
   • The median of these values (the average of the two middle values, 365 and 387) is (365 + 387) / 2 = 376.

4. Calculate the IQR:

   • IQR = Q3 - Q1 = 376 - 288.5 = 87.5.

Now, interpreting the IQR:

• An IQR of 87.5 indicates that there is a moderate degree of variability among the middle 50% of the scores.

Given the responses you provided, the closest correct interpretation would be:

An IQR of 99.5 indicates that the video game player had a relatively small variability for their middle scores.

However, since we calculated the IQR to be 87.5, none of the statements accurately reflect the results based on the calculated IQR. Please note that if specific numerical results or options were erroneously transferred, it's important to use the correct calculated IQR of 87.5 for a precise analysis.