Question

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 99.5 indicates that the average score was 99.5 points.
An IQR of 99.5 indicates that the average score was 99.5 points.

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.

Answer 1

Sorted data: 287, 287, 290, 295, 329, 365, 387, 389, 397.
Q1 = (287 + 290)/2 = 288.5, median = 329, Q3 = (387 + 389)/2 = 388.
IQR = Q3 − Q1 = 388 − 288.5 = 99.5.

Interpretation: the middle 50% of the player's scores span 99.5 points. That is a relatively large variability (it covers most of the total range), so none of the offered choices exactly state the correct interpretation.