Create a distribution plot of a single distribution

In the Distribution Plot dialog box, specify the distribution and parameters for your graph.

Binomial

Complete the following steps to enter the parameters for the binomial distribution.

  1. In Number of trials, enter the sample size.
  2. In Event probability, enter a number between 0 and 1 for the probability that the outcome you are interested in occurs. An occurrence is called an "event".

For example, this plot shows a binomial distribution that has 100 trials and an event probability of 0.03.

Chi-square

In Degrees of freedom, enter the number of degrees of freedom that define the chi-square distribution. For more information, go to Chi-square distribution.

For example, this plot shows a chi-square distribution that has 4 degrees of freedom.

Discrete

Complete the following steps to enter the parameters for the discrete distribution.

  1. In Values in, enter the column that contains the values to include in the distribution. Usually, values are discrete events or counts that are represented by numeric values.
  2. In Probabilities in, enter the column that contains the probabilities for each value. Probabilities must be between 0 and 1, and must sum to 1.

In this worksheet, Value contains the counts to include in the distribution and Probability contains the probability of each count.

C1 C2
Value Probability
0 0.03
1 0.13
2 0.70
3 0.10
4 0.04

Exponential

Complete the following steps to enter the parameters for the exponential distribution.

  1. In Scale, enter the scale parameter. The scale parameter equals the mean when the threshold parameter equals 0.
  2. In Threshold, enter the lower bound of the distribution.

For example, this plot shows an exponential distribution that has a scale of 1 and a threshold of 0.

F

In Numerator degrees of freedom and Denominator degrees of freedom, enter the numerator and denominator degrees of freedom to define the F-distribution. For more information, go to F-distribution.

For example, this plot shows an F-distribution that has 1 numerator degrees of freedom and 1 denominator degrees of freedom.

Geometric

Complete the following steps to enter the parameters for the Geometric distribution.

  1. In Event probability, enter a number between 0 and 1 for the probability of an occurrence on each trial. An occurrence is called an "event".
  2. From Model, select one of the following to specify the number to model.
    • Total number of trials: The number of trials includes both events and nonevents.
    • Only the number of non-events: Do not count the event.

For example, this plot shows a geometric distribution that has an event probability of 0.5 and models the total number of trials.

Integer

Complete the following steps to enter the parameters for the integer distribution.

  1. In Minimum value, enter the lower end point of the distribution.
  2. In Maximum value, enter the upper end point of the distribution.

For example, this plot shows an integer distribution that has a minimum value of 1 and a maximum value of 6.

Lognormal

Complete the following steps to enter the parameters for the lognormal distribution.

  1. In Location, enter a value that represents the location of the peak of the related normal distribution.
  2. In Scale, enter a value that represents the spread of the related normal distribution.
  3. In Threshold, enter the lower bound of the distribution.

For example, this plot shows a lognormal distribution with a location of 0, a scale of 1, and a threshold of 0.

Normal

Complete the following steps to enter the parameters for the normal distribution.

  1. In Mean, enter the value for the center of the distribution.
  2. In Standard deviation, enter the value for the spread of the distribution.

For example, this plot shows a normal distribution that has a mean of 0 and a standard deviation of 1.

Poisson

In Mean, enter the average rate of occurrence. For more information, go to Poisson distribution.

For example, this plot shows a Poisson distribution that has a mean of 10.

t

In Degrees of freedom, enter the degrees of freedom to define the t-distribution. For more information, go to t-distribution.

For example, this plot shows a t-distribution that has 2 degrees of freedom.

Uniform

Complete the following steps to enter the parameters for the uniform distribution.

  1. In Lower endpoint, enter the minimum value for the distribution.
  2. In Upper endpoint, enter the maximum value for the distribution.

For example, this plot shows a uniform distribution that has a lower endpoint of 2.5 and an upper endpoint of 7.5.

Weibull

Complete the following steps to enter the parameters for the Weibull distribution.

  1. In Shape parameter, enter the shape parameter to define the Weibull distribution.
  2. In Scale parameter, enter the scale parameters to define the Weibull distribution.
  3. In Threshold parameter, enter the lower bound of the Weibull distribution.

For example, this plot shows a Weibull distribution that has a shape of 5, a scale of 5, and a threshold of 0.

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