your teacher has a problem and needs your input. she has to give one math award this year to a deserving student but she can’t make a decision here are the test grades for her two best students:
bryce: 90,90,80,100,99,81,98,82
brianna: 90,90,91,89,91,90,90

1. find the five number summary and the iqr for for each student
2. based on these numbers write down which of the two students should get math award and discuss why they should be the one to receive it.
3. calculate the mean (/x) of bryce’s grade distribution

Bryce's scores have a much broader range, from 80 to 100, and he has achieved higher maximum scores (100 and 99) compared to Brianna, whose scores are consistently near 90 with a maximum of 91. This suggests Bryce has potential for high performance, especially given the high marks in some tests, indicative of excellent understanding in those areas.

On the other hand, Brianna displays incredible consistency in her scores, with less variability and consistently high performance, albeit slightly lower than Bryce’s peaks. Her performance is very stable and predictably high, which is also a valuable trait.

### Recommendation

Choosing between these two students depends on what the award criteria emphasize:

- **If the award values consistency and reliability in performance**, Brianna would be the ideal candidate given her stable high scores.

- **If the award values peak performance and higher achievements on challenging materials**, Bryce should be the recipient due to his high scores and greater range of performance.

### Mean of Bryce’s Grade Distribution

The mean of Bryce's grade distribution is 90.0. This indicates that, on average, Bryce's performance matches Brianna's median performance, underscoring his strong overall performance despite the variability in his scores.

Step-by-step explanation: