Wiki User
∙ 15y agoThe mean and variance are equal in the Poisson distribution. The mean and std deviation would be equal only for the case of mean = 1. See related link.
Wiki User
∙ 15y agoThe standard normal distribution is a subset of a normal distribution. It has the properties of mean equal to zero and a standard deviation equal to one. There is only one standard normal distribution and no others so it could be considered the "perfect" one.
The exponential distribution and the Poisson distribution.
Only the mean, because a normal distribution has a standard deviation equal to the square root of the mean.
Yes
The two distributions are symmetrical about the same point (the mean). The distribution where the sd is larger will be more flattened - with a lower peak and more spread out.
means equal the standard deviation
One standard deviation
The mean, median, and mode of a normal distribution are equal; in this case, 22. The standard deviation has no bearing on this question.
The standard normal distribution is a subset of a normal distribution. It has the properties of mean equal to zero and a standard deviation equal to one. There is only one standard normal distribution and no others so it could be considered the "perfect" one.
You calculate the standard error using the data.
The answer will depend on the underlying distribution for the variable. You may not simply assume that the distribution is normal.
The exponential distribution and the Poisson distribution.
yes
false
True.
Only the mean, because a normal distribution has a standard deviation equal to the square root of the mean.
For data sets having a normal distribution, the following properties depend on the mean and the standard deviation. This is known as the Empirical rule. About 68% of all values fall within 1 standard deviation of the mean About 95% of all values fall within 2 standard deviation of the mean About 99.7% of all values fall within 3 standard deviation of the mean. So given any value and given the mean and standard deviation, one can say right away where that value is compared to 60, 95 and 99 percent of the other values. The mean of the any distribution is a measure of centrality, but in case of the normal distribution, it is equal to the mode and median of the distribtion. The standard deviation is a measure of data dispersion or variability. In the case of the normal distribution, the mean and the standard deviation are the two parameters of the distribution, therefore they completely define the distribution. See: http://en.wikipedia.org/wiki/Normal_distribution