can ordinal data be normally distributed?
3545
Normal distribution is a continuous distribution while 5-point Likert-type scale is an ordinal variable, so by definition it is not normally distributed.
1431418
Consider the variable age. Age is frequently collected as ratio data, but can also be collected as ordinal data.
650124
All normal distributions are symmetric and have bell-shaped density curves with a single peak. To speak specifically of any normal distribution, two quantities have to be specified: the mean , where the peak of the density occurs, and the standard deviation , which indicates the spread or girth of the bell curve.
1458891
Age is frequently collected as ratio data, but can also be collected as ordinal data.
10340
Although the form of the probability distribution must be known, the parameters of the distribution can be estimated from the data. ... One reason this is done is because the normal distribution often describes the actual distribution of the random errors in real-world processes reasonably well.
852590
A normal distribution is the proper term for a probability bell curve. In a normal distribution the mean is zero and the standard deviation is 1. ... Normal distributions are symmetrical , but not all symmetrical distributions are normal. In reality, most pricing distributions are not perfectly normal.
1169799
The normal distribution is the most important probability distribution in statistics because it fits many natural phenomena. For example, heights, blood pressure, measurement error, and IQ scores follow the normal distribution. It is also known as the Gaussian distribution and the bell curve.
670669
Depending on the distribution, data within 1 standard deviation of the mean can be considered fairly common and expected. Essentially it tells you that data is not exceptionally high or exceptionally low. A good example would be to look at the normal distribution (this is not the only possible distribution though).
93997
Consider the variable age. Age is frequently collected as ratio data, but can also be collected as ordinal data. ... Variables that are naturally ordinal can't be captured as interval or ratio data, but can be captured as nominal.
979319
When working with statistics, it's important to recognize the different types of data: numerical (discrete and continuous), categorical, and ordinal. Data are the actual pieces of information that you collect through your study. ... Most data fall into one of two groups: numerical or categorical. Numerical data.
175146
The normal distribution is a symmetrical, bell-shaped distribution in which the mean, median and mode are all equal. It is a central component of inferential statistics. The standard normal distribution is a normal distribution represented in z scores. It always has a mean of zero and a standard deviation of one.
1265141
Class data is considered the third type. They are not continuous, like quantitative data, but they can be ordered. Most known example are letter grades for tests.
1034271
Standard normal distribution. ... Distributions don't have to be unimodal to be symmetric. They can be bimodal (two peaks) or multimodal (many peaks). The following bimodal distribution is symmetric, as the two halves are mirror images of each other.
1402901
Ordinal data are most concerned about the order and ranking while interval data are concerned about the differences of value within two consecutive values. ... Ordinal data place an emphasis on the position on a scale while interval data are on the value differences of two values in a scale.
725492
Ordinal data can also be quantitative or numeric. When asked to rate your level of financial happiness, for example, the values are numeric. However, numerical operations (addition, subtraction, multiplication etc.)
727848
The normal distribution is a symmetrical, bell-shaped distribution in which the mean, median and mode are all equal. ... It always has a mean of zero and a standard deviation of one.
471410
Skewness that is normal involves a perfectly symmetric distribution. A positively skewed distribution has scores clustered to the left, with the tail extending to the right. ... Skewness is 0 in a normal distribution, so the farther away from 0, the more non-normal the distribution.