The table summarises the time, m hours, that each student in a year group spent listening to music in one day. Some of the results are shown on the histogram. [Table] Time (m hours): 0 < m ≤ 1, Frequency: 8. Time (m hours): 1 < m ≤ 1½, Frequency: 10. Time (m hours): 1½ < m ≤ 2, Frequency: p. Time (m hours): 2 < m ≤ 2½, Frequency: 14. Time (m hours): 2½ < m ≤ 3½, Frequency: 23. Time (m hours): 3½ < m ≤ 5, Frequency: 18. Time (m hours): 5 < m ≤ 7, Frequency: 12. [Figure 4.1, Histogram]

1. (a)The table summarises the time, m hours, that each student in a year group spent listening to music in one day. Some of the results are shown on the histogram. [Table] Time (m hours): 0 < m ≤ 1, Frequency: 8. Time (m hours): 1 < m ≤ 1½, Frequency: 10. Time (m hours): 1½ < m ≤ 2, Frequency: p. Time (m hours): 2 < m ≤ 2½, Frequency: 14. Time (m hours): 2½ < m ≤ 3½, Frequency: 23. Time (m hours): 3½ < m ≤ 5, Frequency: 18. Time (m hours): 5 < m ≤ 7, Frequency: 12. [Figure 4.1, Histogram]
2. (a)(i)Use the histogram to find the value of p.[1]
3. (a)(ii)Complete the histogram.[3]
4. (b)This table summarises the time, c hours, that each student in a group of 50 students spent cooking in one week. [Table] Time (c hours): 0 < c ≤ 2, Frequency: 8. Time (c hours): 2 < c ≤ 4, Frequency: 16. Time (c hours): 4 < c ≤ 6, Frequency: 15. Time (c hours): 6 < c ≤ 8, Frequency: 7. Time (c hours): 8 < c ≤ 10, Frequency: 4.
5. (b)(i)Calculate an estimate of the mean time spent cooking.[3]
6. (b)(ii)Draw the cumulative frequency diagram. [Figure 4.2, Cumulative frequency diagram grid][3]
7. (b)(iii)Use the cumulative frequency diagram to find an estimate for the median.[1]

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