Analysis of Data: Continuous Series Data and Precautions of Using Arithmetic Mean
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Continuous Series Data
In which entire available data is divided into equal intervals. Each group represents different values but with same range. Formulas for calculating Arithmetic mean
Direct Method:
Shortcut method without step deviation:
Shortcut method with step deviation:
In continuous series x is middle value for each class. x =
where is lower limit and is upper limit?
And C is Class interval.
Example: Find out Arithmetic mean for the given data.
x (marks) | |||||||
F (no. of students) |
Direct Method
Class interval | x = | f | fx |
= 300 |
.
Shortcut Method
Without Step deviation:
Class interval | x = | f | dx = x-A | fdx |
= 300 |
With Step deviation:
Class interval | x = | f | dx = x-A | dx’ = dx/C | fdx’ |
Precautions of Using Arithmetic Mean
Arithmetic Mean is a theoretical value which may not represent actual fact.
Ex: Average children per family would be 2.3 but it is unrealistic. There would be either 2 children or 3 children per family. Note: There is a possibility for no children in some families.
Arithmetic Mean cannot be calculated for qualitative data such as honesty, beauty etc.