1. Determine the median of the set of percentage marks obtained in a mathematics examination and presented in Table 10.1.

2. Find the median scores of the two opening batsmen recorded in Table 10.3.

3. The heights, to the nearest cm, of a group of 42 students are recorded in the frequency table of Table 10.8. Determine the median height.

4. Determine the median height of the data given in Table 10.5.

5. A factory has two machines that can each produce up to 100 units per day. Machine A operates regularly throughout the week, while Machine B breaks down frequently and produces fewer units on some days. For a sample week, the number of units produced by each machine are given in Table 10.9.

(a) Determine the mean number of units produced per day by each machine.

(b) What is the median number of units produced per day by each machine?

(c) Discuss how your calculations could effect future staffing requirements for operating the machines.

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Population (students) X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 Variable/Observation (% marks) 60 55 60 48 70 38 52 54 66 42 Population Variable/Observation (% marks) (students) X11 X12 X13 X14 X15 X16 X17 X18 X19 X20 Table 10.1 % marks in maths exam 72 52 36 52 67 66 70 38 50 36