Frequency Distribution Table
Frequency Distribution Table
A frequency distribution is an arrangement of the values that one or more variables take in a sample.
Each entry in the table contains the frequency or count of the occurrences of values within a particular
group or interval, and in this way, the table summarizes the distribution of values in the sample. A
frequency distribution shows us a summarized grouping of data divided into mutually exclusive classes
and the number of occurrences in a class. It is a way of showing unorganized data e.g. to show results
of an election, income of people for a certain region, sales of a product within a certain period, student
loan amounts of graduates, etc. Some of the graphs that can be used with frequency distributions are
histograms, line graphs, bar charts and pie charts.
Managing and operating on frequency tabulated data is much simpler than operation on raw data. There
are simple algorithms to calculate median, mean, standard deviation etc. from these tables. Statistical
hypothesis testing is founded on the assessment of differences and similarities between frequency
distributions. This assessment involves measures of central tendency or averages, such as the mean and
median, and measures of variability or statistical dispersion, such as the standard deviation or variance.
A frequency distribution is said to be skewed when its mean and median are different. The kurtosis of a
frequency distribution is the concentration of scores at the mean, or how peaked the distribution
appears if depicted graphically--for example, in a histogram.
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In the statistics theory an ogive is a graph that shows the curve of a cumulative distribution
function. The graph of the cumulative frequency distribution is also named as cumulative
frequency curve or an ogive. Ogive basical y describes the curved surfaces in architecture.
Data may be represented by using a single line even. An ogive that is a cumulative line graph
and is best used when one wants to display the total at any given time. The relative slopes
from point to point will indicate greater or lesser increases in the slopes like for example a
steeper slope refers the meaning a greater increase than a more gradual slope. An ogive
cannot be considered as ideal graphic that shows comparisons between categories because
an ogive simply combines the values related to each category thus it refers to an
accumulation means a growing or lessening total. In keeping track of a total and the
individual values that are periodically combined then an ogive is an appropriate display.
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