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Z-table

The share of a normal distribution below, above, between or outside any z-score, worked out rather than read from rows. Free, with no account or uploads.

A z-table for any z

Type a z-score and choose which share you want.

The share
Below zAbove zBetween −z and zOutside −z and z

The share below z = 1.96

0.975

97.5% of a standard normal distribution, from Φ worked out to about 15 digits, so no table to read across.

How it works and help
Sums and means are exact; worked out in your browser, and nothing you type is sent anywhere or kept.

A little help along the way

Follow these steps. Every option is explained underneath. Everything runs in your browser; nothing is sent anywhere or kept.

  1. Say what you want to knowDescribe your numbers, a z-score, or a z-table.
  2. Paste or type your numbersSeparated by commas, spaces or new lines, and say whether they are a sample or a whole population.
  3. Read the answerThe figure you came for first, then every measure, and the working under it.

Questions people ask

Is this a standard normal table?
Yes, but worked out for any z you type rather than read from rows: the share below, above, between −z and z, or outside them.
How accurate is it?
The normal distribution is worked out to about 15 digits and shown to five decimal places.
What is the share between −1.96 and 1.96?
0.95: the familiar 95% that a confidence interval of ±1.96 covers.

This page is the Statistics calculator, opened for this one job; every other tool it has is one press away. Each of its settings is explained on the Statistics calculator's own page.

Read the step-by-step guide