Estimate the standard deviation for this distribution of examination scores: | Mark |…
MATHEMATICS · Subjective · CBSE · Mathematics · Statistics · Statistics
Problem
Estimate the standard deviation for this distribution of examination scores:| Mark | Frequency | Mark | Frequency |
|---|---|---|---|
| 0 - 9 | 1 | 50 - 59 | 16 |
| 10 - 19 | 1 | 60 - 69 | 24 |
| 20 - 29 | 2 | 70 - 79 | 13 |
| 30 - 39 | 4 | 80 - 89 | 6 |
| 40 - 49 | 11 | 90 - 99 | 2 |
| Class interval | Mid-interval value | Frequency |
|---|---|---|
| 0 - 9 | 4.5 | 1 |
| 10 - 19 | 14.5 | 1 |
| 20 - 29 | 24.5 | 2 |
| 30 - 39 | 34.5 | 4 |
| 40 - 49 | 44.5 | 11 |
| 50 - 59 | 54.5 | 16 |
| 60 - 69 | 64.5 | 24 |
| 70 - 79 | 74.5 | 13 |
| 80 - 89 | 84.5 | 6 |
| 90 - 99 | 94.5 | 2 |