0580 P42 - Mar 2016 - Q4 - 14 marks
14752
The cumulative frequency curve shows the times \(t\) minutes taken by 60 students to finish a test.
(a(i)) Estimate the median time. [1]
(a(ii)) Estimate the inter-quartile range. [2]
(a(iii)) Estimate the 40th percentile. [2]
(a(iv)) Find how many students took more than 80 minutes. [2]
| Time (min) | \(0<t\le40\) | \(40<t\le60\) | \(60<t\le70\) | \(70<t\le80\) | \(80<t\le90\) | \(90<t\le100\) |
|---|---|---|---|---|---|---|
| Frequency | 8 | 4 |
(b) Complete the frequency table using the curve. [3]
(c) Complete the histogram for your frequency table. [4]
