Mean & SD for Single Patients' Data

By inputting a list of patient values separated by commas, you can obtain valuable statistics, including sample size, mean, standard deviation, variance, sum, standard error of the mean (SEM), and margin of error.

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Enter the data for each patient or study separated by commas, for example, Age1,Age2,Age3,Age3,Age4

Sample Type:

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Population data is used when you want to describe the characteristics or parameters of an entire group. For example, the population of all adults in a country. Samples are used when it's impractical or impossible to collect data from an entire population. They provide a representation of the population.

Results

Sample Size:

Mean:

Standard Deviation (SD):

Variance:

Sum:

Standard Error of the Mean (SEM):

CI Level Margin of Error
68.3%
90%
95%
99%
99.9%
99.99%
99.999%
99.9999%

Formula Reference

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Description of the formula

Variables Definitions

  1. Confidence Interval (CI): This represents the confidence level expressed as a decimal value. For example, 0.95 corresponds to a 95% confidence interval.
  2. Number of Participants: The total number of individuals or data points in the sample or study.
  3. Standard Deviation (SD): A measure of the amount of variation or dispersion of a set of values.
  4. Standard Error of the Mean (SEM): The standard deviation of the sampling distribution of a statistic, most commonly the mean.
  5. Margin of Error: The range of values above and below the sample statistic in a confidence interval.

Conversion Formula

  1. Mean = Sum of all values / Sample size
  2. Variance (Sample) = Sum of squared deviations from the mean / (n-1)
  3. Variance (Population) = Sum of squared deviations from the mean / n
  4. Standard Deviation (SD) = Square root of variance
  5. Standard Error of the Mean (SEM) = SD / Square root of sample size
  6. Margin of Error = SEM × Critical value from t-distribution or z-distribution

SEM = SD / √n

Margin of Error = SEM × Critical value

View more - Cochrane Handbook - Cochrane Handbook