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Lindiwe is interested in early childhood education - NSC Mathematical Literacy - Question 1 - 2020 - Paper 2
Question 1
Lindiwe is interested in early childhood education. She researched the number of learners enrolled in early childhood education in selected countries. TABLE 1 shows... show full transcript
Worked Solution & Example Answer:Lindiwe is interested in early childhood education - NSC Mathematical Literacy - Question 1 - 2020 - Paper 2
Step 1
Determine the difference in the number of learners enrolled in Slovakia in 2015 and 2016.
Answer
To find the difference, subtract the number of learners in Slovakia for 2015 from that of 2016:
Number of learners in Slovakia in 2015 = 159 236 Number of learners in Slovakia in 2016 = 159 739 Difference = 159 739 - 159 236 = 503.
Step 2
The range of the number of learners enrolled for 2014 is 2 947 664.
Answer
The range is calculated by subtracting the smallest value from the largest value.
Largest value (Turkey) = 1 064 190 Smallest value (Ireland) = 78 056
Range = 1 064 190 - 78 056 = 986 134.
Thus, it is important to verify the 2 947 664 range given.
Step 3
Step 4
Describe the trend shown by the number of learners enrolled in Greece.
Answer
The trend in Greece shows a decline in the number of learners enrolled in early childhood education from 2014 to 2016:
- 2014: 231 155
- 2015: 225 596
- 2016: 214 109
This indicates a continuous decrease over the three years.
Step 5
Determine (as a decimal fraction) the probability of randomly selecting a learner in 2016 that shows a decline in enrollment from 2015 to 2016.
Answer
First, identify the number of countries that show a decline:
- Greece
- Denmark (from 2015 to 2016)
- Slovenia (from 2015 to 2016)
Out of 10 countries, the number showing a decline is 3.
Probability = Number of countries with decline / Total countries = 3 / 10 = 0.3.
Step 6
Verify her statement.
Answer
To verify Lindiwe’s statement, calculate the total amounts spent:
Denmark: €520.83 per month x 12 months = €6,249.96 per year.
Slovenia: €350 per month x 12 months = €4,200 per year.
Ratio of spending = 6249.96 / 4200 ≈ 1.49, which is less than 5:1. Therefore, the statement is NOT VALID.