Mathematics
Find the median weight for the following data:
| Weigh(in kg) | Number of boys |
|---|---|
| 45 | 8 |
| 46 | 5 |
| 48 | 6 |
| 50 | 9 |
| 52 | 7 |
| 54 | 4 |
| 55 | 2 |
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Answer
Cumulative frequency table :
| Weight (in kg) | Number of boys (Frequency) | Cumulative Frequency (cf) |
|---|---|---|
| 45 | 8 | 8 |
| 46 | 5 | 13 |
| 48 | 6 | 19 |
| 50 | 9 | 28 |
| 52 | 7 | 35 |
| 54 | 4 | 39 |
| 55 | 2 | 41 |
Total number of observations = 41, which is odd.
By formula,
Median = th observation
⇒ th observation
⇒ th observation
⇒ 21st observation
From the table,
From 20th to 28th position, the weight = 50 kg
∴ Median = 50 kg.
Hence, median weight is 50 kg.
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