Mathematics
The heights of 50 children were measured (correct to the nearest cm) giving the following results :
| Height (in cm) | No. of children |
|---|---|
| 65 | 1 |
| 66 | 4 |
| 67 | 5 |
| 68 | 7 |
| 69 | 11 |
| 70 | 10 |
| 71 | 6 |
| 72 | 4 |
| 73 | 2 |
Calculate the mean height for this distribution correct to one place of decimal.
Measures of Central Tendency
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Answer
We construct the table as under :
| Height (xi) | No. of children (fi) | fixi |
|---|---|---|
| 65 | 1 | 65 |
| 66 | 4 | 264 |
| 67 | 5 | 335 |
| 68 | 7 | 476 |
| 69 | 11 | 759 |
| 70 | 10 | 700 |
| 71 | 6 | 426 |
| 72 | 4 | 288 |
| 73 | 2 | 146 |
| Total | 50 | 3459 |
Mean = = 69.2 cm.
Hence, mean height = 69.2 cm.
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