The frequency distribution shows in a graph or a table all the possible values of a variable, called the random variable, and the frequency or the count of each value. For example, if you had the ages of 100 people you could do a frequency distribution and split the ages into 10 year categories and then show how many of the 100 people were in the 20s, how many in their 30s, how many in their 40s and so on.
Yes.
1) Ungrouped2) Grouped 3) Qualitative
to quickly and effectively represent data
Frequency and cumulative frequency are two types of frequency distributions. These are frequency tables that show statistical data for different types of frequencies that include absolute, relative, and cumulative frequencies. There are mathematical formulas used to calculate these frequencies.
Organizing the data into a frequency distribution can make patterns within the data more evident.
The Gaussian curve is the Normal distributoin curve, the commonest (and most studied) of statistical distributions.
Finding the average from the raw data requires a lot more calculations. By using frequency distributions you reduce the number of calculations.
The difference between frequency polygon and line graphs is their purpose. Frequency polygons are for understanding shapes distributions, while line graphs shows information that is related in some way.
Frequency distributions are used to organize and summarize data to understand its distribution and identify patterns. They help in visualizing the data through tables or graphs, making it easier to interpret. Different types, such as grouped or ungrouped frequency distributions, are used based on the nature of the data and the level of detail required. They are particularly useful in statistical analysis, enabling comparisons and facilitating further statistical calculations.
There are many frequency distributions: Uniform, Binomial, Multinomial, Poisson, Gaussian, Chi-square, Student's t, Fisher's F, Beta, Gamma, Lognormal, Logistic to name some off the top of my head. And I am sure I've missed many more. You need to specify which ones you are interested in. Forgot the Exponential.
Yes, open-ended classes are allowed in frequency distributions. These classes do not have a defined upper or lower limit, which can be useful for representing data that extends indefinitely, such as income or age. However, while they can provide a general overview of data trends, they may limit the precision of statistical analysis since exact values are not specified.
In mathematics, frequency refers to the number of times a particular value or event occurs within a specified dataset or interval. It is often used in statistics to describe how often a certain outcome appears, such as in frequency distributions or histograms. Frequency can be expressed as a raw count, relative frequency (proportion of the total), or cumulative frequency (accumulated totals). Understanding frequency is essential for analyzing patterns and trends in data.