Curve of Normal Distribution
The curve of a normal distribution, often referred to as a bell curve, is a symmetrical, smooth, and continuous graph that depicts the distribution of data. It has the following characteristics:
1. Symmetry: The curve is perfectly symmetrical around its center, which is the mean (average) value. This means that if you were to fold the curve in half at the mean, both sides would match like a mirror image.
2. Bell Shape: The curve takes the form of a bell, with a single peak at the mean. It rises to the peak, gradually descends on both sides and extends infinitely in both directions.
3. Mean as the Peak: The highest point of the curve is precisely at the mean value. This signifies that the mean is the most likely outcome in the distribution.
4. Standard Deviation Controls Spread: The spread or width of the curve is determined by the standard deviation. A smaller standard deviation results in a narrower, taller curve, while a larger standard deviation leads to a wider, shorter curve.
5. Tail Ends: As the curve moves away from the mean, it gets closer to the horizontal axis but never touches it. This means that there is always some probability of extreme values, although they become increasingly rare as you move further from the mean.
Contact Us