In Normal distribution, the highest value of ordinate occurs at ______...
This is due the behaviour of the pdf of Normal distribution.
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In Normal distribution, the highest value of ordinate occurs at ______...
Understanding Normal Distribution
The normal distribution, also known as the Gaussian distribution, is a fundamental concept in statistics and probability theory. It is characterized by its bell-shaped curve, which is symmetric about the mean.
Highest Ordinate Occurrence
- The highest point of the normal distribution curve is referred to as the ordinate.
- This peak occurs at the mean of the distribution.
Role of the Mean
- The mean is the central value around which data points are distributed.
- In a normal distribution, the mean, median, and mode are all equal and located at the center of the curve.
- The ordinate at the mean is the maximum because it represents the highest frequency of occurrence for the data points.
Characteristics of the Normal Distribution
- The curve is symmetric, meaning that both sides of the mean are mirror images of each other.
- As you move away from the mean towards the extremes, the frequency of occurrence decreases, resulting in lower ordinates.
- Variance, while important in determining the spread of the distribution, does not influence the height of the peak.
Conclusion
The highest ordinate in a normal distribution occurs at the mean, making it a key point in understanding the distribution of data. This characteristic helps in various applications, including civil engineering, where understanding data behavior is crucial for decision-making and analysis.