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
The ordered values are \(12,14,16,16,18,20,22,24,26,28,30,32,34,36,38,42,52\). Exclude the overall median when forming the two halves, and take the median of each half as its quartile.
Find \(\displaystyle Q_{1}\).
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
The ordered values are \(13,16,19,19,22,25,28,31,34,37,40,43,46,49,52,58,73\). Exclude the overall median when forming the two halves, and take the median of each half as its quartile.
Find \(\displaystyle Q_{1}\).
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
The ordered values are \(13,16,19,19,22,25,28,31,34,37,40,43,46,49,52,58,73\). Exclude the overall median when forming the two halves, and take the median of each half as its quartile.
Find \(\displaystyle Q_{3}\).
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
The ordered values are \(14,18,22,22,26,30,34,38,42,46,50,54,58,62,66,74,94\). Exclude the overall median when forming the two halves, and take the median of each half as its quartile.
Find \(\displaystyle Q_{3}\).
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 |
| 14 | 42 |
| 42 | 126 |
| 70 | 168 |
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 |
| 15 | 44 |
| 45 | 132 |
| 75 | 176 |
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 |
| 15 | 44 |
| 45 | 132 |
| 75 | 176 |
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 |
| 16 | 46 |
| 48 | 138 |
| 80 | 184 |
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.