Mathematics
The median of the following data is:
| x | f |
|---|---|
| 10 | 2 |
| 20 | 3 |
| 30 | 2 |
| 40 | 3 |
| 50 | 1 |
30
31
35
40
Measures of Central Tendency
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Answer
Cumulative frequency distribution table is:
| x | f | Cumulative frequency |
|---|---|---|
| 10 | 2 | 2 |
| 20 | 3 | 5 (2 + 3) |
| 30 | 2 | 7 ( 5 + 2) |
| 40 | 3 | 10 (7 + 3) |
| 50 | 1 | 11 (10 + 1) |
Here, n = 11, which is odd.
By formula,
Median =
From table,
6th observation corresponds to 30.
∴ Median = 30
Hence, Option 1 is the correct option.
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