Question

A symmetric, bell-shaped frequency distribution that is completely defined by its mean and standard deviation is the _____ distribution.

Answer 1

A symmetric, bell-shaped frequency distribution that is completely defined by its mean and standard deviation is the normal distribution.

A symmetrical distribution about the mean, such as the normal or Gaussian distribution, indicates that data points closer to the mean occur more frequently than data points further from the mean.

The normal distribution is represented graphically by a bell curve. A bell curve of probabilities is more properly known as the normal distribution. The standard deviation is one and the mean is zero in a normal distribution. Its kurtosis is 3, and its skewness is 0. Not all symmetrical distributions are normal, but all normal distributions are symmetrical. The normal distribution can be thought of as a rough approximation of many naturally occurring events. However, most price distributions in finance are not normally distributed.

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