Search
- Filter Results
- Location
- Classification
- Include attachments
- https://stats.libretexts.org/Courses/Diablo_Valley_College/Math_142%3A_Elementary_Statistics_(Kwai-Ching)/Math_142%3A_Text_(Openstax)/06%3A_The_Normal_Distribution/6.01%3A_Prelude_to_The_Normal_DistributionThe normal, a continuous distribution, is the most important of all the distributions. It is widely used and even more widely abused. Its graph is bell-shaped. In this chapter, you will study the norm...The normal, a continuous distribution, is the most important of all the distributions. It is widely used and even more widely abused. Its graph is bell-shaped. In this chapter, you will study the normal distribution, the standard normal distribution, and applications associated with them. The normal distribution has two parameters (two numerical descriptive measures), the mean (μ) and the standard deviation (σ).
- https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/06%3A_The_Normal_Distribution/6.02%3A_The_Standard_Normal_DistributionThe z-score tells you how many standard deviations the value \(\bf{x}\) is above (to the right of) or below (to the left of) the mean, \(\bf{\mu}\).Values of \(x\) that are larger than the mean have p...The z-score tells you how many standard deviations the value \(\bf{x}\) is above (to the right of) or below (to the left of) the mean, \(\bf{\mu}\).Values of \(x\) that are larger than the mean have positive z-scores, and values of \(x\) that are smaller than the mean have negative z-scores. About 95% of the \(x\) values lie between \(–2\sigma\) and \(+2\sigma\) of the mean \(\mu\) (within two standard deviations of the mean).
- https://stats.libretexts.org/Courses/Marian_University/Applied_Statistics_for_Social_Science/03%3A_The_Normal_Distribution/3.2%3A_The_Standard_Normal_DistributionA z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the nor...A z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the normal distribution N(μ,σ) then z tells you how many standard deviations x is above (greater than) or below (less than) μ.
- https://stats.libretexts.org/Courses/Fort_Hays_State_University/Elements_of_Statistics/04%3A_Probability_Distributions/4.05%3A_Common_Continuous_Probability_DistributionsIn this section, we name and explore key properties of some of the most commonly used probability density functions in statistical work. We will end by examining how certain regions within our distrib...In this section, we name and explore key properties of some of the most commonly used probability density functions in statistical work. We will end by examining how certain regions within our distributions can directly relate to other regions within our distributions using some basic geometric reasoning.
- https://stats.libretexts.org/Courses/Marian_University/Applied_Statistics_for_Social_Science_(19-20)/03%3A_The_Normal_Distribution/3.2%3A_The_Standard_Normal_DistributionA z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the nor...A z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the normal distribution N(μ,σ) then z tells you how many standard deviations x is above (greater than) or below (less than) μ.
- https://stats.libretexts.org/Courses/Remixer_University/Username%3A_ckkidder08marianuniversityedu/Applied_Statistics_for_Social_Science_(19-20)/03%3A_The_Normal_Distribution/3.2%3A_The_Standard_Normal_DistributionA z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the nor...A z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the normal distribution N(μ,σ) then z tells you how many standard deviations x is above (greater than) or below (less than) μ.
- https://stats.libretexts.org/Courses/Compton_College/Pre-Statistics/11%3A_The_Normal_Distribution/11.02%3A_The_Standard_Normal_DistributionA z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the nor...A z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the normal distribution N(μ,σ) then z tells you how many standard deviations x is above (greater than) or below (less than) μ.
- https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/BFE_1201_Statistical_Methods_for_Finance_(Kuter)/04%3A_Random_Variables/4.08%3A_Introduction_to_Normal_Distribution/4.8.01%3A_The_Standard_Normal_DistributionThe z-score tells you how many standard deviations the value \(\bf{x}\) is above (to the right of) or below (to the left of) the mean, \(\bf{\mu}\). About 95% of the \(x\) values lie between \(–2\sigm...The z-score tells you how many standard deviations the value \(\bf{x}\) is above (to the right of) or below (to the left of) the mean, \(\bf{\mu}\). About 95% of the \(x\) values lie between \(–2\sigma\) and \(+2\sigma\) of the mean \(\mu\) (within two standard deviations of the mean). About 99.7% of the \(x\) values lie between \(–3\sigma\) and \(+3\sigma\) of the mean \(\mu\) (within three standard deviations of the mean).
- https://stats.libretexts.org/Courses/Penn_State_University_Greater_Allegheny/STAT_200%3A_Elementary_Statistics/06%3A_The_Normal_Distribution/6.02%3A_The_Standard_Normal_DistributionA z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the nor...A z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the normal distribution N(μ,σ) then z tells you how many standard deviations x is above (greater than) or below (less than) μ.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/06%3A_The_Normal_Distribution/6.06%3A_Chapter_ReviewThis page describes the standard normal distribution, which has a mean of zero and a standard deviation of one, noted as Z ~ N(0, 1). It explains the concept of the z-score, measuring distance from th...This page describes the standard normal distribution, which has a mean of zero and a standard deviation of one, noted as Z ~ N(0, 1). It explains the concept of the z-score, measuring distance from the mean in standard deviations. Additionally, it highlights the normal distribution's importance in probability theory, characterized by its continuous, bell-shaped form with parameters mean (µ) and standard deviation (σ), particularly focusing on the relevance of z-scores across various fields.
- https://stats.libretexts.org/Courses/Concord_University/Elementary_Statistics/06%3A_The_Normal_Distribution/6.02%3A_The_Standard_Normal_DistributionA z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the nor...A z-score is a standardized value. Its distribution is the standard normal, Z∼N(0,1). The mean of the z-scores is zero and the standard deviation is one. If y is the z-score for a value x from the normal distribution N(μ,σ) then z tells you how many standard deviations x is above (greater than) or below (less than) μ.
