Standard Normal Distribution Flashcards
A continuous, symmetric, bell-shaped distribution of a variable.
Normal Distribution
Distribution is bell shaped.
Normal Distribution
The mean, median, and mode are equal and are located at the center of the distribution.
Normal Distribution
It is unimodal and continuous.
Normal Distribution
First derived by Abraham De Moivre (1667-1754), with contributions of the German mathematician, physicist and astronomer Carl Friedrich Gauss.
Normal Distribution
Normal Distribution also known as?
Gaussian Curve
It is a graphical representation of the probability that the data collected distributes itself normally.
Gaussian curve or Normal Distribution
Asymmetrical or abnormal distribution of data in relation to the mean.
Data distribution skewness
[3] types of Distribution
- Symmetrical Distribution
- Positively Skewed Distribution
- Negatively Skewed Distribution
Data values are evenly distributed on both sides of the mean.
[types of distribution]
Symmetrical Distribution
The distribution that is unimodal and the mean, median, and mode are similar and at the distribution’s center.
[types of distribution]
Symmetrical Distribution
Most of the values in the data fall to the left of the mean and group at the lower end of the distribution; tail is to the right.
[types of distribution]
Positively Skewed Distribution
The mean is to the right of the median, and the mode is to the left of the median.
[types of distribution]
Positively Skewed Distribution
The mass of the data values falls to the right of the mean and group at the upper end of the distribution; tail is to the left.
[types of distribution]
Negatively Skewed Distribution
The mean is to the left of the median, and the mode is to the right of the median.
[types of distribution]
Negatively Skewed Distribution
Plays an important role in statistical interference.
Normal distribution
A vertical line can be drawn in the middle of the distribution so that one side of the distribution is a mirror image of the other side.
Symmetrical Distribution
[3] Types of Kurtosis
- Leptokurtic
- Mesokurtic
- Platykurtic
Distributions where values clustered heavily or pile up in the center. There are tall distribution with narrow humps and long and high tails. Its kurtosis is positive. (kurtosis>0) and it denotes a high degree of peakedness.
[types of kurtosis]
Leptokurtic
positive kurtosis, higher peak and longer tail.
[types of kurtosis]
Leptokurtic
Are intermediate distribution which are neither too peaked nor too flat. The values are immediately distributed about the center. Its kurtosis is zero (kurtosis=0).
[types of kurtosis]
Mesokurtic
Are flat distributions with values more evenly distributed about the center with broad humps and short tails. Its kurtosis is negative (kurtosis < 0) and it denotes a low degree of peakedness.
[types of kurtosis]
Platykurtic
negative kurtosis, low peak. Flatter peak, shorter tail.
[types of kurtosis]
Platykurtic
A bell-shaped theoretical distribution of population scores.
Normal curve
Indicates how far a raw score is above or below the mean when measured in a standard deviation units. It locates the relative standing of a score by comparing it to the sample or population in which the score occurs.
Z-score
A perfect normal curve that serves as a model of any approximately normal z-distributions.
Standard Distribution Curve