## What does a small standard deviation mean curve quizlet?

The smaller a standard deviation, the more closely the data is to the mean making it taller and more narrow. These three normal curves have the same mean by different standard deviations.

## What is the normal probability distribution?

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.

**Which values completely describe the shape of the normal probability distribution?**

A normal probability distribution’s standard deviation (σ) completely describes it’s shape.

**What are the properties of normal probability distribution?**

Properties of a normal distribution The mean, mode and median are all equal. The curve is symmetric at the center (i.e. around the mean, μ). Exactly half of the values are to the left of center and exactly half the values are to the right. The total area under the curve is 1.

### What is the standard deviation of a standard normal distribution?

The standard normal distribution always has a mean of zero and a standard deviation of one.

### What does a high standard deviation mean?

more spread out

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

**What is the standard deviation of the probability distribution?**

Like data, probability distributions have standard deviations. To calculate the standard deviation (σ) of a probability distribution, find each deviation from its expected value, square it, multiply it by its probability, add the products, and take the square root.

**What does the standard deviation of a normal curve represent?**

The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.

#### What is the standard deviation of the standard normal distribution?

one

The standard normal distribution always has a mean of zero and a standard deviation of one.

#### What does the standard deviation tell you?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

**What does a small standard deviation mean?**

**Is lower standard deviation better?**

A high standard deviation shows that the data is widely spread (less reliable) and a low standard deviation shows that the data are clustered closely around the mean (more reliable).

## Which describes the shape of the normal probability distribution?

A normal probability distributions standard deviation completely describes its shape. Which of the following probability distribution is not continuous? The left and right of the normal probability distribution extend indefinitely, never quite touching the horizontal axis.

## What is the standard deviation of the continuous uniform distribution?

The left and right of the normal probability distribution extend indefinitely, never quite touching the horizontal axis. The standard deviation of the continuous uniform distribution is equal to the mean of this distribution.

**What is the use of mean and standard deviation in statistics?**

The mean and the standard deviation for discrete probability distributions are useful when comparing two different distributions. Testing whether a part is defective or not defective after it has been manufactured would be best described using binomial probability distribution.

**What is the difference between normal and continuous probability distribution?**

For continuous distributions, the probability that is less than or equal to a value is the same as the probability that x is less than that value. A normal probability distributions standard deviation completely describes its shape. Which of the following probability distribution is not continuous?