The cumulative frequency diagram shows the marks obtained by 80 students in a Maths test. [Figure 9.1] Use the diagram to find an estimate of the median.

1. (a)(i)The cumulative frequency diagram shows the marks obtained by 80 students in a Maths test. [Figure 9.1] Use the diagram to find an estimate of the median.[1]
2. (a)(ii)60% of the students passed the test. Use the diagram to find the number of marks needed to pass the test.[2]
3. (a)(iii)Using the information on the diagram, complete the frequency table. Mark (m) 0 < m ≤ 20 20 < m ≤ 40 40 < m ≤ 60 60 < m ≤ 80 80 < m ≤ 100 Frequency 8[2]
4. (b)The times taken by the 80 students to complete a Science test are shown in the frequency table. Time (m minutes) 40 < m ≤ 50 50 < m ≤ 60 60 < m ≤ 70 70 < m ≤ 80 80 < m ≤ 90 Frequency 8 13 p 20 q An estimate for the mean time taken to complete the test is 67.625 minutes. This is calculated using the mid-interval value as an estimate of the time in each interval. Calculate the value of p and the value of q. [Figure 9.2][5]

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