Max data to display:
N or n: ∑xi: ∑x2: RMS=:
Measures/statistics of central tendancy/location/middle/center/typical/representative/summarize: Mean x̄ or μ: A sample mean, x̄, is the best point estimate of the population mean, μ. It is unbiased (expected value is μ), consistent (as n↑, x̄→μ), and relatively efficient (smallest variance).
Median ̃x: Mode: uni: bi: Midrange:
Trimmed mean: 5%(each end): 10%:
Harmonic mean HM=n/∑(1/x) Geometric mean GM=n√Πx
Measures/statistics of dispersion/variation/spread/scatter/uncertainty/volatility: Range: Standard deviation SD s: σN:
Data is "statistically significant" if < x̄-2s= or > x̄+2s=
Variance VAR s2: σ2:
Standard error SEM=s/√n:
Sample coefficient of variation, CV=s/x̄*100:
MAD (mean [absolute] deviation): MAD≤σ Normal:
5-number summary: Min: Q1: Q2: Q3: Max: IQR: Outliers: Data ≤ Q1-1.5*IQR= Data ≥ Q3+1.5*IQR=
Hildebrand H=(x̄-̃x)/s: If |H|<.2, symmetric. H>.2 right skewed, H<-.2 left skewed Pearson coefficient of skewness PC=3(x̄-̃x)/s [-3,3]: ~0→symmetric, ≤-1 or ≥1: "significantly skewed" Skew: |skew|<.5 symmetric, between .5 and 1 moderately skewed, >1 highly skewed. (Excess) Kurtosis: "tailedness"
Sorted data: Freq. distr. Datums Freq. Cuml.freq. Rel. freq. Cuml.rel.freq
#uniques=
Histogram: (yellow curve is ogive)
X min: X max: Y max: Class size/width:
Grouped/Binned frequency distribution: Class start Freq. Cuml.freq. Rel.freq. Cuml.Rel.freq. Norm Expected*n Normquant Z's (Freqs as Oi, Norm Expecteds as Ei into Χ2 GOF)
Z scores: σn