9709 S1 · Notes & worked examples
Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.
Recall
Maths4U Original · Short practice
Grouped measurements in cm have the following cumulative frequencies. Use linear interpolation, with percentile positions based on n.
| Upper boundary (cm) | Cumulative frequency |
|---|---|
| 0 | 0 |
| 15 | 44 |
| 45 | 132 |
| 75 | 176 |
Estimate the median in cm.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Fresh review variant
Maths4U Original · Short practice
Grouped measurements in cm have the following cumulative frequencies. Use linear interpolation, with percentile positions based on n.
| Upper boundary (cm) | Cumulative frequency |
|---|---|
| 0 | 0 |
| 16 | 46 |
| 48 | 138 |
| 80 | 184 |
Estimate the median in cm.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Method
Maths4U Original · Short practice
Grouped measurements in cm have the following cumulative frequencies. Use linear interpolation, with percentile positions based on n.
| Upper boundary (cm) | Cumulative frequency |
|---|---|
| 0 | 0 |
| 16 | 46 |
| 48 | 138 |
| 80 | 184 |
Estimate the interquartile range in cm.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Fresh review variant
Maths4U Original · Short practice
Grouped measurements in cm have the following cumulative frequencies. Use linear interpolation, with percentile positions based on n.
| Upper boundary (cm) | Cumulative frequency |
|---|---|
| 0 | 0 |
| 17 | 48 |
| 51 | 144 |
| 85 | 192 |
Estimate the interquartile range in cm.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Apply
Maths4U Original · Short practice
Grouped measurements in cm have the following cumulative frequencies. Use linear interpolation, with percentile positions based on n.
| Upper boundary (cm) | Cumulative frequency |
|---|---|
| 0 | 0 |
| 17 | 48 |
| 51 | 144 |
| 85 | 192 |
Find the frequency of the middle class.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Fresh review variant
Maths4U Original · Short practice
Grouped measurements in cm have the following cumulative frequencies. Use linear interpolation, with percentile positions based on n.
| Upper boundary (cm) | Cumulative frequency |
|---|---|
| 0 | 0 |
| 18 | 50 |
| 54 | 150 |
| 90 | 200 |
Find the frequency of the middle class.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Check understanding
Maths4U Original · Short practice
Grouped measurements in cm have the following cumulative frequencies. Use linear interpolation, with percentile positions based on n.
| Upper boundary (cm) | Cumulative frequency |
|---|---|
| 0 | 0 |
| 18 | 50 |
| 54 | 150 |
| 90 | 200 |
Estimate the 90th percentile in cm.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Fresh review variant
Maths4U Original · Short practice
Grouped measurements in cm have the following cumulative frequencies. Use linear interpolation, with percentile positions based on n.
| Upper boundary (cm) | Cumulative frequency |
|---|---|
| 0 | 0 |
| 19 | 52 |
| 57 | 156 |
| 95 | 208 |
Estimate the 90th percentile in cm.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.