*Ungrouped Data*
Mode of ungrouped data:
An observation occurring most frequently in the data is called mode of the data. It is denoted by Z.
For Example:
Find the median of the following observations
4,6,8,6,7,8,8
Sol:
In the given data, the observation 8 occurs maximum
number of times (3)
\ Mode (Z) = 8
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The mode of ungrouped data is the value that appears the most often. The mode may not be a number - for example if looking at the favourite colour of a set of people.
If you have calculated a histogram of your data, the mode is the interval with the highest relative frequency. If you have not created a histogram, and your dataset contains finite numbers (fixed decimal numbers), with some numbers repeating, then those numbers that repeat the most would be the mode. Otherwise, if you do not group your data, where you select an interval to calculate relative frequency, then a mode is not identifiable.
Groued or ungrouped data all used to conclude something,but that conclusion is not 100% accurate,Whatever we use those just to live in this world,so dont bother about it . Groued or ungrouped data all used to conclude something,but that conclusion is not 100% accurate,Whatever we use those just to live in this world,so dont bother about it .
For ungrouped data.
The average deviation is always 0.