Normal Distribution:
The given graph represents a normal distribution, also known as a bell curve. It is a type of
statistical graph where data is distributed symmetrically around a central value called the
mean. Most of the values are concentrated near the centre, while fewer values appear as we
move away from the mean on both sides.
In this graph, the horizontal axis (x-axis) represents the data values. The highest point of the
curve represents the mean, median, and mode, which are all equal in a normal distribution.
The curve is perfectly symmetrical, meaning the left side mirrors the right side.
The probability density function (pdf) for this is as follows;
Where μ is the population mean, and σ is the population standard deviation.
In symbolically this can be written as X ~ N (μ, σ2 )
Empirical Curve:
The given graph represents a normal distribution, also known as a bell curve. It is a type of
statistical graph where data is distributed symmetrically around a central value called the
mean. Most of the values are concentrated near the centre, while fewer values appear as we
move away from the mean on both sides.
In this graph, the horizontal axis (x-axis) represents the data values. The highest point of the
curve represents the mean, median, and mode, which are all equal in a normal distribution.
The curve is perfectly symmetrical, meaning the left side mirrors the right side.
The probability density function (pdf) for this is as follows;
Where μ is the population mean, and σ is the population standard deviation.
In symbolically this can be written as X ~ N (μ, σ2 )
Empirical Curve: