Project 3 • Slide 1

The Five-Number Summary

Ordered Sequence (N = 10)
2.40, 3.21, 3.26, 3.31, 3.62, 3.66, 3.87, 3.88, 3.94, 3.95
Minimum
2.40
Lower Quartile (Q₁)
3.26
Median (Q₂)
3.64
Upper Quartile (Q₃)
3.88
Maximum
3.95
Slide 2

Interquartile Range & Outlier Boundaries

Interquartile Range (IQR)
0.62
IQR = Q₃ - Q₁ = 3.88 - 3.26
Lower Fence
2.33
Q₁ - 1.5(IQR) = 3.26 - 0.93 (Min 2.40 > 2.33)
Outlier Verdict
Zero Outliers Present
All points fall strictly inside [2.33, 4.81]
Slide 3

Box-and-Whisker Plot Execution

2.0 GPA
2.5 GPA
3.0 GPA
3.5 GPA
4.0 GPA
Executive Half-Slide Synthesis

Key Interpretations & Summary

Negatively Skewed

Elongated left tail (0.86) vs compact right tail (0.07).

High Academic Density

70% of students maintain GPAs above 3.50.

Verified Stability

Low C.V. of 13.28% reflects consistent performance.

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