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Math & statistics

Frequency-table mean and variance

Frequency-table mean and variance: Treat each nonnegative integer frequency as a count of repeated observations.

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How it works

Treat each nonnegative integer frequency as a count of repeated observations. Compute the count-weighted mean and squared deviations; divide by N for population variance or N−1 for sample variance.

Input definitions

CSV: value,frequency
Plain text; maximum 200,000 characters.

A worked example

CSV: value,frequency
value,frequency 10,2 20,3
16

Assumptions & limits

Entered-data numeric worksheet. Floating-point calculations are rounded for display. Statistical results describe the entered sample and depend on the stated model assumptions.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-17. Content checked against the stated method and examples. Our verification approach.

Common questions

Can I use survey or reliability weights as frequencies?

No. Frequencies count repeated observations and must be whole numbers. Analytical, reliability and survey weights use different variance formulas.

How does Frequency-table mean and variance work?

Treat each nonnegative integer frequency as a count of repeated observations. Compute the count-weighted mean and squared deviations; divide by N for population variance or N−1 for sample variance.

What are the limits of Frequency-table mean and variance?

Entered-data numeric worksheet. Floating-point calculations are rounded for display. Statistical results describe the entered sample and depend on the stated model assumptions.

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