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Use the graph above to answer the questions that follow - NSC Mathematical Literacy - Question 3 - 2023 - Paper 1
Question 3
Use the graph above to answer the questions that follow. 3.1.1 Identify the only descriptor where the age group 5 to 17 years old are fewer than the age group under... show full transcript
Worked Solution & Example Answer:Use the graph above to answer the questions that follow - NSC Mathematical Literacy - Question 3 - 2023 - Paper 1
Step 1
Identify the only descriptor where the age group 5 to 17 years old are fewer than the age group under 5 years old
Answer
The descriptor where the age group 5 to 17 years old are fewer than the age group under 5 years old is 'Male'. The percentage for males in the 5 to 17 age group is 11.1%, which is less than the 15.5% for the under 5 age group.
Step 2
Compare and comment on the urban and rural descriptors of the two age groups
Answer
The urban descriptors show a higher percentage of overweight or obese children compared to rural descriptors. In the urban age group under 5 years old, the percentage is 13.2%, while in rural it is 12.8%. For the age group 5 to 17 years, the urban percentage is 21.5% compared to 16.3% in rural. This indicates that urban children face more obesity challenges than their rural counterparts, possibly due to lifestyle and dietary differences.
Step 3
In a rural school, there are 795 learners in the age group 5 to 17 years old
Answer
To find the number of overweight or obese learners, we first calculate the percentage of overweight or obese in this age group, which is 16.3%. Therefore, the number of learners who are overweight or obese is calculated as:
ext{Overweight or Obese} = 16.3 ext{%} imes 795 = 130 ext{ learners}Step 4
Step 5
Determine the probability, as a fraction, of randomly selecting a female who is under 5 years old and not overweight or obese
Answer
First, we find the percentage of females under 5 years old who are overweight or obese, which is 12.8%. The number of females under 5 years who are overweight is calculated as:
ext{Females Overweight} = ext{Total Females Under 5} imes 12.8 ext{%}Assuming equal representation across the age groups, if there are 1000 total children in the under 5 age group, then 128 are overweight. So, there would be 872 females not overweight or obese. The probability is:
P = rac{872}{1000} = 0.872 = rac{872}{1000}