2026 YTSS P2 Q2

YTSS is testing two AI systems, System A and System B, tracking their response times (in seconds) to student queries.

The response times for System A are shown below:

System A

Key: \(4\mid2\) represents 42 seconds.

1. 1. Find the median response time for System A.[1]
   2. Find the standard deviation of the response times for System A.[1]

The following information is shown for System B:

System B

• Minimum = 35
• Lower Quartile = 40
• Median = 48
• Upper Quartile = 55
• Maximum = 70

2. Construct a box-and-whisker plot for System B using the data provided.[1]
3. One student claims:
   “System A is more consistent, but System B is faster.”
   State whether you agree with this claim. Justify your answer using statistical measures.[3]