0580 P42 - Jun 2024 - Q3 - 15 marks
11656
Travel times of 40 students:
| m(minutes) | \(0<m\le10\) | \(10<m\le25\) | \(25<m\le40\) | \(40<m\le60\) |
|---|---|---|---|---|
| Frequency | 3 | 18 | 15 | 4 |
(a(i)) Estimate the mean. [4]
(a(ii)) Draw a histogram. [3]
(a(iii)) Two students are chosen at random. Find P(one takes more than 25 minutes and the other 10 minutes or less). [3]
For 200 questionnaire completion times: longest 30 min, median 22 min, lower quartile 8 min, IQR 19 min, range 25 min.
(b(i)) Find the shortest time. [1]
(b(ii)) Draw a box-and-whisker plot. [3]
(b(iii)) George says 101 people took more than 22 minutes. Explain why he is wrong. [1]
