![]() The mean in a normal curve divides the curve symmetrically.If you were given a normal curve, without being told the mean and the standard deviation, you could approximate this information based upon the shape of the curve. When data pertaining to these phenomena are graphed as histograms with data on the horizontal axis and the amount of data on the vertical axis, a bell-shaped curve (normal curve) may be created.Ī normal distribution is actually a " family of distributions", since the mean and standard deviation, which determine the shape of the distribution, may differ from graph to graph.Ĭould you approximate the mean and standard deviation of a normal curve if this specific information was not stated on the graph? It is an extremely important statistical data distribution pattern occurring in many natural phenomena, such a blood pressure, machined parts, human height, error in measurement, IQ scores, sizes of snowflakes, lifespans of light bulbs, weights of loaves of bread, test scores, milk production in cows, etc. Notice how the histogram closely follows the form of the bell curve.Ī normal distribution is the most widely known and used of all distributions. The mean, median and mode are all the same in a normal distribution. Such graphs are called normal curves, and referred to as a normal distribution. Fifty percent of the distribution lies to the left of the mean and fifty percent lies to the right of the mean. ![]() ![]() The shape of the curve is described as bell-shaped with the graph falling off evenly on either side of the mean. There are certain sets of data where the data, when graphed, are symmetrical with a single central peak at the mean (average) of the data.
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