# Characteristics of a standard normal distribution

## What are the 5 properties of a normal distribution?

**Properties**

- It is symmetric. A normal distribution comes with a perfectly symmetrical shape. …
- The mean, median, and mode are equal. The middle point of a normal distribution is the point with the maximum frequency, which means that it possesses the most observations of the variable. …
- Empirical rule. …
- Skewness and kurtosis.

## What are the three characteristics of a normal distribution?

This results in a bell-shaped curve. Mean and Standard Deviation: This data representation is shaped by mean and standard deviation. Equal Central Tendencies: The mean, median, and mode of this data are equal. Symmetric: The normal distribution curve is centrally symmetric.

## What are the characteristics of normal distribution in terms of standard deviation?

**It has zero skew and a kurtosis of 3**. Normal distributions are symmetrical, but not all symmetrical distributions are normal.

## Which of the following describes the standard normal distribution?

**a normal distribution with a mean of zero and standard deviation of 1**.

## Which two of the following properties apply to the standard normal distribution?

**its graph is bell-shaped**. 2) It is symmetric about its center.

## What are the characteristics of the standard normal distribution and how is it calculated?

**symmetric bell shape**. mean and median are equal; both located at the center of the distribution. â‰ˆ68%approximately equals, 68, percent of the data falls within 1 standard deviation of the mean.

## What are the characteristics of normal distribution and t distribution?

## Which is a characteristic of a normal distribution quizlet?

**symmetrical**.

## Which of the following are properties of distribution?

**location, spread, and shape**. The location refers to the typical value of the distribution, such as the mean.

## What are the 4 steps to find the Z score?

…

**Look at your data set.**

- Know how many numbers are in your sample. …
- Know what the numbers represent. …
- Look at the variation in the numbers.

## Which is not a property of a normal distribution?

**approximately 65% of the data lies within two standard deviations from the mean**is not true of the normal distribution.

## Which of the following are properties of the normal curve?

All normal curves are **bell-shaped with points of inflection at Î¼ Â± Ïƒ** . All normal curves are symmetric about the mean . Therefore, by the definition of symmetry, the normal curve is symmetric about the mean . The area under an entire normal curve is 1.

## How do you determine normal distribution?

**Step 1: Subtract the mean from the x value.**

**Step 2: Divide the difference by the standard deviation**. The z-score for a value of 1380 is 1.53. That means 1380 is 1.53 standard deviations from the mean of your distribution.

## What does z-score tell you?

**how much a given value differs from the standard deviation**. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean. Standard deviation is essentially a reflection of the amount of variability within a given data set.

## What is the importance of z-scores?

**they offer a comparison between two scores that are not in the same normal distribution**. They are also used to obtain the probability of a z-score to take place within a normal distribution. If a z-score gives a negative value, it means that raw data is lesser than mean.

## What is the difference between a standard normal distribution and a nonstandard normal distribution?

**The standard normal distribution has a mean of 0 and a standard deviation ofâ€‹ 1, while a nonstandard normal distribution has a different value for one or both of those parameters**.

## What is the difference between standard normal distribution and normal distribution?

**A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution.**

## What are the 2 factors that affect the normal curve?

The graph of the normal distribution depends on two factors – **the mean and the standard deviation**. The mean of the distribution determines the location of the center of the graph, and the standard deviation determines the height and width of the graph.

## What is standard normal distribution used for?

## What is a difference between the T distribution and the standard normal distribution quizlet?

**The t-distribution has a larger variance than the standard normal distribution**. The standard normal distributions’ confidence levels are wider than those of the t-distribution. The standard normal distribution is dependent on parameters like degree of freedom, while t-distribution is not.

## Which of the following properties distinguishes the standard normal distribution from other normal distributions?

**symmetric continuous distribution with mean 0 and variance 1**.