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What does [tex]$L$[/tex] represent in the formula for finding the median [tex]$\left(M_d\right)=L+\frac{i}{f}\left(\frac{N}{2}-cf\right)$[/tex] of a continuous series? Write it.

Sagot :

In the formula for finding the median of a continuous series, given by:

[tex]\[ M_d = L + \frac{i}{f} \left( \frac{N}{2} - cf \right) \][/tex]

the term [tex]\( L \)[/tex] stands for the lower class boundary of the median class.

Here is an explanation for each part of the formula:

1. [tex]\( M_d \)[/tex] is the median.
2. [tex]\( L \)[/tex] is the lower class boundary of the median class.
3. [tex]\( i \)[/tex] is the class interval (the difference between the upper and lower boundaries of the class interval).
4. [tex]\( f \)[/tex] is the frequency of the median class.
5. [tex]\( N \)[/tex] is the total number of observations.
6. [tex]\( cf \)[/tex] is the cumulative frequency of the class preceding the median class.

So, in summary, [tex]\( L \)[/tex] represents the lower class boundary of the median class.