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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 in the number of learners enrolled in Slovakia, we take the number of learners in 2016 and subtract the number of learners in 2015:
the difference = 162,740 - 159,993 = 2,747.
Thus, the difference is 2,747.
Step 2
The range of the number of learners enrolled for 2014 is 2 947 604.
Answer
The range can be calculated using the formula:
Range = highest value - lowest value.
From the table, the highest number of learners enrolled in 2014 is 1,064,195 (Turkey) and the lowest is 78,056 (Ireland). Therefore,
Range = 1,064,195 - 78,056 = 986,139.
Step 3
Step 4
Step 5
Determine (as a decimal fraction) the probability of randomly selecting a learner that shows a decline in enrollment from 2015 to 2016.
Answer
The number of learners that declined from 2015 to 2016 are in Greece, Ireland, and Slovenia. Thus, the number of learners that showed a decline:
- Greece: 225,969 (2015) to 214,109 (2016) - decline
- Ireland: 75,759 (2015) to 76,835 (2016) - no decline
- Slovenia: 84,805 (2015) to 85,407 (2016) - no decline
Only Greece shows a decline.
Total number of learners in 2016 = sum of learners in all countries for 2016 = 2,905,376.
Thus, the probability = Number of learners showing decline / Total number of learners = 1 / 12 = 0.0833.
Step 6
Verify her statement.
Answer
The total cost per child in Denmark for 2016:
Total number of learners = 2,035,420. Total cost = 2,035,420 * €520.83 * 12 = €12,755,800,460.
Total cost per child in Slovenia for 2016:
Total number of learners = 85,407. Total cost = 85,407 * €350 * 12 = €356,631,660.
Now, calculating the ratio:
The ratio = Total amount spent in Denmark / Total amount spent in Slovenia = €12,755,800,460 / €356,631,660 ≈ 35.8 : 1, which confirms her statement.