1
Exam 1 Report 10/11/2010
1. Summary
Total number of students 12
Attended 12
Missed 0
Number of problems 3
Average grade 81.25
Standard deviation of grades 10.34
2. Grade distribution
3. Comparison with past years
0 0 0 0
2
4
3 3
0 1 2 3 4 5
0-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
Number of Students
Grade
Total Grade Distribution
81.25 86.53 87.97 84.11 86.80 75.84 82.29 90.11
82.81
10.34 11.93 7.91 10.12 12.12 16.38
8.78 9.73 14.03 0.00
20.00 40.00 60.00 80.00 100.00
2018 2017 2016 2015 2014 2013 2012 2010 2009
Grade
Year
Comparison with Previous Years
Average Standard Deviation Average Over 2009-2018
2 4. Individual problem breakdown
5. Grade distribution per problem
8.90
7.81 7.67
1.03 1.81 1.95
0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.00
1 2 3
Grade
Problem
Individual scores per problem
Average
Standard Deviation
0 0 0 0 0
4
1
7
0
1
0
1
2
3
2
3
0
1 1 1
0
3 3 3
0 1 2 3 4 5 6 7 8
0-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10
Number of Students
Grade
Grade distribution per problem
P1 P2 P3
3 6. Comments
PROBLEM 1
• Some student made calculation mistakes when calculating pi terms
• Some student made unit conversion mistake
• Some students assumed 𝜋1= 𝜋2 instead of 𝜋1 = 𝜙(𝜋2)
• Some students mixed the pipe diameter with sphere diameter PROBLEM 2
• Many students neglected the hydrostatic force at section 1
• Some students used wrong depth for calculating the mean pressure a section 1
• Some student made mistakes when calculating momentum flux (i.e. not having sin(20) or wrong sign)
PROBLEM 3
• Some students applied the boundary conditions incorrectly (i.e u(0)=0)
• Some student made wrong assumptions when applying momentum equations (i.e. not assuming v=0, not neglecting gravity for y-momentum)
• Some students did not apply y-momentum to show p=p(x)
• Some students did not know how to calculate flow rate from given velocity function
