<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Skip Navigation
Our Terms of Use (click here to view) have changed. By continuing to use this site, you are agreeing to our new Terms of Use.

Density Curve of the Normal Distribution

Locating a value by direction and number of steps from the mean

Atoms Practice
Estimated12 minsto complete
Practice Density Curve of the Normal Distribution
Estimated12 minsto complete
Practice Now
Turn In
Density Curve of the Normal Distribution

Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes
Please to create your own Highlights / Notes
Show More


continuous random variable

A continuous random variable is a random variable that can take on all values in an interval.

density curve

A density curve is an idealized representation of a distribution in which the area under the curve is defined as 1, or in terms of percentages, a probability of 100%.

discrete random variables

Discrete random variables represent the number of distinct values that can be counted of an event.

empirical rule

The empirical rule states that for data that is normally distributed, approximately 68% of the data will fall within one standard deviation of the mean, approximately 95% of the data will fall within two standard deviations of the mean, and approximately 99.7% of the data will fall within three standard deviations of the mean.

inflection point

An inflection point is a point in the domain where concavity changes from positive to negative or negative to positive.

Normal Curve

The normal curve is the curve that defines the probability density graph for a normally distributed variable.

normal density curve

A normal density curve is a density curve for a normal distribution.

probability density function

A function f(x) is called a probability density function if f(x)\ge 0 for all x, the area under the graph of f(x) over all real numbers is exactly 1, and the probability that x is in the interval [a,\ b] is P(a\le x \le b)=\int\limits _a^b f(x)dx.

standard deviation

The square root of the variance is the standard deviation. Standard deviation is one way to measure the spread of a set of data.


A measure of the spread of the data set equal to the mean of the squared variations of each data value from the mean of the data set.


The z -score of a value is the number of standard deviations between the value and the mean of the set.

z-score table

A z-score table associates the various common z-scores between 0 and 3.99 with the decimal probability of being less than or equal to that z-score.

Image Attributions

Explore More

Sign in to explore more, including practice questions and solutions for Density Curve of the Normal Distribution.
Please wait...
Please wait...