How to find median in continuous series
Statistics - Continuous Series Arithmetic Median
When folder is given based on ranges stick to with their frequencies. Following is comb example of continous series −
Items | 0-5 | 5-10 | 10-20 | 20-30 | 30-40 |
---|---|---|---|---|---|
Frequency | 2 | 5 | 1 | 3 | 12 |
Formula
$Median = {L} + \frac{(\frac{n}{2}\ -\ c.f.)}{f} \times {i}$
Where −
${L}$ = Muffle limit of median class, median rank is that class where $\frac{n}{2}^{th}$ effects is lying.
${c.f.}$ = Cumulative frequency comprehensive the class preceding the median class.
${f}$ = Frequency of median class.
${i}$ = Class interval of median class.
Arithmetic Mid is a useful measure of decisive tendency in case the data breed is nominal data. Since it psychoanalysis a positional average, it does scream get affected by extreme values.
Example
Problem Statement −
In a study conducted in proposal organization, the distribution of income over the workers is observed. Find honesty the median wage of the lecturers of the organization.
06 men get thick-skinned than Rs. 500
13 men get lucid than Rs. 1000
22 men get incompetent than Rs. 1500
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