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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
Step 2
Compare and comment on the urban and rural descriptors of the two age groups.
Answer
For the age group under 5 years old, 15.5% of males are overweight or obese, compared to 16.3% of females, indicating slightly higher rates among females in this category. In the age group 5 to 17 years, 21.5% of females are overweight or obese, compared to 20.1% of males. Overall, the urban descriptors show higher percentages in both age groups compared to rural descriptors, which indicates that urban children are more likely to be overweight or obese.
Step 3
In a rural school, there are 795 learners in the age group 5 to 17 years old.
Answer
To calculate the number of learners in this age group who are overweight or obese, we use the percentage of 16.3%:
Number of overweight or obese learners = 16.3% of 795 =
rac{16.3}{100} imes 795 = 130 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
The percentage of females under 5 years old who are overweight or obese is 15.2%. Thus, the percentage that is NOT overweight or obese is:
100 ext{%} - 15.2 ext{%} = 84.8 ext{%}
If there are 889 females under 5 years old, then:
Number of females under 5 years old who are NOT overweight or obese = 84.8% of 889 = rac{84.8}{100} imes 889 = 754 females.
Lastly, the probability of randomly selecting a female under 5 years old who is not overweight or obese is:
.