Project 2 • Overview
Ten-Student GPA Sample & Grouping
Raw Individual GPAs (N = 10)
2.40
3.21
3.26
3.31
3.62
3.66
3.87
3.88
3.94
3.95
Total Sum: Σx = 35.09 • Sample Mean: x̄ = 3.51
Grouped Frequency Table
GPA Interval
Count (f)
Proportion
2.0-2.5
1
10%
2.5-3.0
0
0%
3.0-3.5
3
30%
3.5-4.0
6
60%
Calculations
Step-Deviation Computation (h = 0.5, a = 3.25)
Interval
m
f
d
fd
fd²
2.0-2.5
2.25
1
-2
-2
4
2.5-3.0
2.75
0
-1
0
0
3.0-3.5
3.25
3
0
0
0
3.5-4.0
3.75
6
1
6
6
Total
-
N=10
-
Σfd=4
Σfd²=10
Grouped Mean (x̄)
3.45
x̄ = 3.25 + (4/10) × 0.5
Standard Deviation (σ)
0.458
σ = √(10/10 - (4/10)²) × 0.5
Final Metrics
GPA Dispersion & Homogeneity
Coefficient of S.D.
0.133
σ / x̄ = 0.458 / 3.45
Coefficient of Variation
13.28%
(0.458 / 3.45) × 100%
1 / 3
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