FM 6-07 Chapter 6 · Numbers and units
Statistics on a list
Paste numbers: mean, median, mode, variance, standard deviation, percentiles, outliers and a histogram.
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Decimal mark
Summary
- Count
- 12
- Sum
- 200
- Mean
- 16.6666666667
- Median
- 15
- Mode
- 15 (3×)
- Min
- 11
- Max
- 42
- Range
- 31
Spread
- SD, sample (n − 1)
- 8.249885215
- SD, population (n)
- 7.8986637407
- Variance, sample
- 68.0606060606
- Variance, population
- 62.3888888889
- p50
- 15
- p90
- 17.9
- p95
- 28.8
- p99
- 39.36
- Q1 · Q3
- 12.75 · 16.25
- IQR
- 3.5
Outliers, outside 1.5 × IQR
- Fences
- 7.5 to 21.5
- Outliers (1)
- 42
Histogram
10 ≤ x < 20 11
20 ≤ x < 30 0
30 ≤ x < 40 0
40 ≤ x ≤ 50 1
Sorted (12)
11 12 12 13 14 15 15 15 16 17 18 42
Percentiles and quartiles use linear interpolation between closest ranks, the same as Excel PERCENTILE.INC and QUARTILE.INC, numpy's default and R type 7. Mean and variance use Welford's single pass method and the sum is compensated, so large offsets do not eat the digits. Outliers are values beyond Q1 − 1.5 × IQR or Q3 + 1.5 × IQR (Tukey's fences). Histogram buckets are equal width, each one includes its lower edge and excludes its upper edge, except the last.