Expression for normal distribution

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SUMMARY

The discussion centers on deriving the expression for a normal distribution based on the measured values: 4,393; 4,372; 4,381; 4,373; and 4,401. The mean of these values is calculated to be 4,384.6, and the standard deviation is determined to be approximately 8.2. The normal distribution can be expressed using the formula: f(x) = (1 / (σ√(2π))) * e^(-((x - μ)² / (2σ²))), where μ is the mean and σ is the standard deviation. This formula allows for the modeling of the probability density function for the given dataset.

PREREQUISITES
  • Understanding of basic statistics, including mean and standard deviation
  • Familiarity with the normal distribution and its properties
  • Knowledge of the probability density function (PDF)
  • Experience with mathematical notation and expressions
NEXT STEPS
  • Research how to calculate the mean and standard deviation for larger datasets
  • Learn about the Central Limit Theorem and its implications for normal distribution
  • Explore the use of statistical software like R or Python for normal distribution analysis
  • Investigate applications of normal distribution in real-world scenarios, such as quality control
USEFUL FOR

Statisticians, data analysts, students in statistics courses, and anyone interested in understanding normal distribution and its applications in data analysis.

dekra2000
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Write an expression for normal distribution for the data: Measured values are: 4,393; 4,372; 4,381; 4,373 and 4,401

thanks for help
 
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Re: please help to solve

Hi dekra2000 and welcome to MHB!

Any thoughts on how to begin?
 

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