A z-table for any z.
The share of a normal distribution below, above, between or outside z-scores, worked out for any z instead of read from rows and columns.
By Suraj Kumar2 min read
A printed z-table gives Φ(z) to four places for z in steps of 0.01. The page works it out for any z.
Below and above.
Φ(1.5) ≈ 0.93319 is the share below z = 1.5; the share above is 1 − Φ(z).
Between and outside.
Between −1.96 and 1.96 lies 0.95 of the distribution, the familiar 95%; outside them, 0.05.
How exact.
Φ is worked out to about 15 digits by Hart's algorithm and shown to five places.
Further reading
Topics: z table · standard normal table · z score table · normal distribution table · probability from z score
A little less theory. A little more doing.
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