Mathematics
Find the median for the following distribution :
| Wages per day (in ₹) | No. of workers |
|---|---|
| 38 | 14 |
| 45 | 8 |
| 48 | 7 |
| 55 | 10 |
| 62 | 6 |
| 65 | 2 |
Measures of Central Tendency
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Answer
The given variates (wages) are already in ascending order. We construct the cumulative frequency table as under :
| Variate (Wages per day) | Frequency (No. of workers) | Cumulative frequency |
|---|---|---|
| 38 | 14 | 14 |
| 45 | 8 | 22 |
| 48 | 7 | 29 |
| 55 | 10 | 39 |
| 62 | 6 | 45 |
| 65 | 2 | 47 |
Here, n (total no. of workers) = 47, which is odd.
All observations from 23rd to 29th are equal, each = 48.
Hence, median = ₹48.
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