Quartiles by Quiara Andrea Plaza Bohayo

Answer each problem by first solving for the required quartiles, then write your answers clearly under the corresponding number, followed by a short response to the follow-up question applying your analysis to the real-life situation.

qabohayo293pbox — 2025-04-27 02:32:04 UTC

1. A university collected mental health wellness scores (out of 100) from 24 students during exam week.
Scores: 55, 56, 80, 70, 62, 59, 60, 53, 45, 72, 50, 52, 78, 42, 65, 47, 32, 75, 68, 85, 40, 35, 54, 58

Task:

Find Q1, Q2, and Q3.
If students below Q1 are at risk of anxiety and burnout, what should the university do based on the data?

2. Monthly Water Consumption of Households

qabohayo293pbox — 2025-04-27 02:48:38 UTC

A local government monitored household water usage (in cubic meters) for conservation efforts.
Data:
32, 28, 24, 17, 45, 25, 40, 38, 12, 22, 42, 30, 20, 35, 15.

Task:

Find Q1, Q2, and Q3.
Who among the households are high consumers. What water-saving programs would you recommend targeting them?

3. Employee Training Hours Before Certification

qabohayo293pbox — 2025-04-27 02:52:12 UTC

A company tracked how many hours employees spent training before passing a certification exam.
Data (hours):
18, 13, 28, 26, 12, 22, 10, 24, 17, 30, 8, 20, 15, 32.

Task:

Find Q1, Q2, and Q3.
Employees who trained the least falls under what quartile? How can HR support them better for future certifications?

4. Daily Internet Speed for Rural Online Students (Mbps)

qabohayo293pbox — 2025-04-27 02:55:25 UTC

Recorded over one month:
4.5, 3.7, 3.0, 5.0, 2.0, 6.0, 3.2, 2.2, 2.8, 5.5, 4.0, 2.5, 1.5, 4.3, 3.5

Task:

Find Q1, Q2, Q3.
What quartile has students that are most disadvantaged. Propose how the school could prioritize support.

5. Test Scores Before and After Intervention

qabohayo293pbox — 2025-04-27 02:58:43 UTC

A school implemented a study intervention, and these are the test scores before and after the program for 10 students. Scores are as follows:
Before: 45, 50, 55, 60, 65, 70, 72, 75, 80, 85
After: 65, 70, 75, 80, 85, 90, 95, 98, 100, 100

Task:

Find the difference between "Before" and "After" test scores.
Calculate Q1, Q2, and Q3 for the improvement in test scores.
Based on these quartiles, how would you identify students who benefited the most from the intervention and those who might need additional support?