Mathematics
Calculate the median of the following frequency distribution:
| Weight (in nearest kg) | Number of students |
|---|---|
| 45 | 8 |
| 46 | 5 |
| 48 | 6 |
| 50 | 9 |
| 52 | 7 |
| 54 | 4 |
| 55 | 2 |
Measures of Central Tendency
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Answer
Cumulative frequency distribution table :
| Weight (in nearest kg) | Number of students | Cumulative frequency |
|---|---|---|
| 45 | 8 | 8 |
| 46 | 5 | 13 (8 + 5) |
| 48 | 6 | 19 (13 + 6) |
| 50 | 9 | 28 (19 + 9) |
| 52 | 7 | 35 (28 + 7) |
| 54 | 4 | 39 (35 + 4) |
| 55 | 2 | 41 (39 + 2) |
Here number of observations, n = 41, which is odd.
By formula,
From the above table, weight of each student from 20th to 28th are 50.
∴ Weight of 21st student = 50.
Hence, median weight = 50 kg.
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