# What is the relationship between the mean and the variance?

## What is the relationship between the mean and the variance?

The mean is the average of a group of numbers, and the variance measures the average degree to which each number is different from the mean.

### What is the relation between mean and variance in negative binomial distribution?

The mean of the negative binomial distribution with parameters r and p is rq / p, where q = 1 – p. The variance is rq / p2. The simplest motivation for the negative binomial is the case of successive random trials, each having a constant probability P of success.

What is the relationship between mean and variance in normal distribution?

Mean = m and Variance = m. So, the variance is same as the mean. Normal distribution: It is known that for large n and for finite np > 5 (some authors use 10), the binomial distribution follows a normal distribution and we know that for a binomial distribution mean and variance are related.

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What are the relationship between mean and variance in binomial and Poisson distribution?

The mean of the binomial distribution is always equal to p, and the variance is always equal to pq/N.

## What is the relationship between the variance and the standard deviation?

The variance is equal to the square of standard deviation or the standard deviation is the square root of the variance.

### What is the difference between binomial distribution and binomial distribution?

Binomial distribution and Poisson distribution are two discrete probability distribution….Comparison Chart.

Basis for Comparison Binomial Distribution Poisson Distribution
Success Constant probability Infinitesimal chance of success

What is negative binomial distribution in relation to geometric distribution?

The geometric distribution is a special case of the negative binomial distribution. It deals with the number of trials required for a single success. Thus, the geometric distribution is negative binomial distribution where the number of successes (r) is equal to 1.