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The Comrades Marathon Association (CMA) has issued its medical statistics for the race held on Sunday 4 June 2017 - NSC Mathematical Literacy - Question 2 - 2018 - Paper 1
Question 2
The Comrades Marathon Association (CMA) has issued its medical statistics for the race held on Sunday 4 June 2017. Start of the race: 05:30 End of the race: 17:30 T... show full transcript
Worked Solution & Example Answer:The Comrades Marathon Association (CMA) has issued its medical statistics for the race held on Sunday 4 June 2017 - NSC Mathematical Literacy - Question 2 - 2018 - Paper 1
Step 1
1.4.1 Write down the maximum time given to the athletes to complete the Comrades Marathon.
Answer
The maximum time given to the athletes to complete the Comrades Marathon is calculated by taking the difference between the end time and the start time of the race.
End of the race: 17:30 Start of the race: 05:30
Calculating the duration: 17:30 - 05:30 = 12 hours.
Thus, the maximum time allowed is 12 hours.
Step 2
1.4.2 State if the medical statistics data is discrete or continuous.
Answer
The medical statistics data is considered discrete. Discrete data consists of distinct, separate values, which represent counts of occurrences such as the number of athletes starting the race, finishing the race, and those treated. Counts cannot take on fractional values, hence they are discrete.
Step 3
1.4.3 Write down the ratio of athletes starting the race to the athletes finishing the race.
Answer
To calculate the ratio of athletes starting the race to those finishing the race, we use the values provided in the table:
- Athletes starting the race: 17,031
- Athletes finishing the race: 12,829
The ratio can be expressed as:
This simplifies to approximately 1.33:1, meaning that for approximately every 1.33 athletes that started the race, 1 finished.