How to Calculate Frequency in a Normal Distribution?

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SUMMARY

This discussion focuses on creating a calculator to determine frequency within a normal distribution based on user-defined parameters: standard deviation, mean, frequency at the mean, and a specified range of values. The example provided illustrates a scenario where the mean weight is 100kg with a standard deviation of 10kg, and the user seeks to find how many individuals fall between 112kg and 116kg. Key considerations include the distinction between observed frequency and expected frequency, as well as the sensitivity of the calculator to parameter values.

PREREQUISITES
  • Understanding of normal distribution concepts
  • Familiarity with statistical parameters: mean and standard deviation
  • Knowledge of probability calculations
  • Basic programming skills for calculator implementation
NEXT STEPS
  • Research how to calculate probabilities using the normal distribution formula
  • Learn about the Central Limit Theorem and its implications for normal distributions
  • Explore statistical software tools like R or Python's SciPy for implementing frequency calculations
  • Investigate the differences between observed frequency and expected frequency in statistical analysis
USEFUL FOR

Statisticians, data analysts, and software developers interested in implementing statistical calculators or enhancing their understanding of normal distribution and frequency calculations.

zgochenour
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I am trying to create a calculator that let's a user provide the standard deviation, mean, frequency at that mean, and range of values - then the calculator will give the frequency in that value range.

For instance, purely illustrative -- say you know the mean weight for some group is 100kg. They are normally distributed (exactly) around that mean with a standard deviation of 10kg. 1000 of them are 100kg. How many of the group are between 112kg and 116kg.

I hope that makes sense. Thanks for the help. I'm not really sure where to begin.
 
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zgochenour said:
They are normally distributed (exactly) ... 1000 of them are 100kg.

If they are exactly normally distributed then none would be 100kg. Did you mean to say that 1000 of them are in the interval (99.5,100.5) ? Once you work out the probability of this interval you can compare it to that of the other interval to get an idea of the relative expected frequencies.

Some other things to keep in mind for your calculator are sensitivity to parameter values and observed frequency vs expected frequency.
 

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