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

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

Population (students) X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 Variable/Observation (% marks) 60 55 60 48 70 38 52 54

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

Player A 50 140 0 38 130 130 60 21 55 0 138 Player B 70 30 56 68 61 58 48 86 52 72 Table 10.3 Scores for two

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.

Height classes 150-154 155-159 160-164 165-169 170-174 175-179 180-184 185-189 190-194 195-199 Total

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.

Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday Machine A (number of units) 90 95 85 90 85 95 90

(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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