explain which standards Statistics B completes, and present the evidence that the full-year course meets UC A-G area C.
Statistics B completes the full-year course. The builder checks that every S-ID, S-IC, S-CP, S-MD and PS code is cited across the two semesters. The standards that only Statistics B carries are S-ID.4 (fitting normal distributions and recognizing when that is not appropriate), PS.4 (continuous random variables and density), PS.8 (mean and SD of normal variables), PS.9 (the central limit theorem, applied to binomial probabilities), PS.15 and PS.16 (sampling distributions), PS.17 (confidence intervals and sample size), PS.18 (P-values) and PS.19 (chi-square). A student who completes Statistics B without Statistics A has not taken the approved course, and one who stops after A has not met these standards.
The area C case in this semester. Area C courses beyond Algebra 2 must use Algebra 2 and extend it. Statistics B does so in ways reviewers can see in the lessons:
- Density curves and the exponential distribution, with probabilities from P(X > t) = e−t/μ and a median of μ ln 2 (B 1.1).
- Solving for a normal distribution’s parameters from two percentiles, a pair of linear equations (B 1.2).
- A derivation of σ/√n from the variance rules of Statistics A (B 1.4), verified by simulation against a known population.
- t, z and chi-square procedures computed by hand before technology, with conditions checked; power; the standard error of a regression slope; and the algebraic link t = r√(n − 2)/√(1 − r2).
The fallback. The course is submitted as area C. If UC declines, it can be resubmitted as a college-preparatory elective in area G with no content changes. Either way, keep an evidence file: the alignment matrix from the builder, the UCOP syllabus text, and a scored sample of each investigation, including the capstone.
The capstone matters to the case. It is the clearest single piece of evidence of college-level work: an original question, public data, a justified inference procedure, honest conditions, and an oral defense. Protect its four stages and its six-minute defense even if the semester runs short.
Where the standards land in Statistics B
| Unit | Main standards | Culminating investigation |
|---|---|---|
| 1 Continuous and Sampling Distributions | PS.4, PS.7, PS.8, PS.9, PS.15, PS.16, S-ID.4 | Sampling Distribution Simulation Study (1.5) |
| 2 Estimating with Confidence | PS.17, S-IC.4, S-IC.6 | Estimation Study (2.5) |
| 3 Significance Tests | PS.18, S-IC.2, S-IC.5, S-IC.6 | Significance Test Investigation (3.5) |
| 4 Chi-Square, Regression Inference, Capstone | PS.19, PS.12, PS.13, S-IC.1, S-IC.6 | Capstone Inference Study (4.5) |
PS.17-PS.19 (intervals, P-values, chi-square) are taught only in Statistics B.
How confident are you that you can explain which standards Statistics B completes and why the course meets area C?