Lindiwe is interested in early childhood education - NSC Mathematical Literacy - Question 1 - 2020 - Paper 2

The range of learners is calculated using the formula:

$ext{Range} = ext{Highest value} - ext{Lowest value}$

Here, the highest value is 1 596 803 (United Kingdom) and the lowest value is 78 056 (Ireland). Hence,

$ext{Range} = 1 596 803 - 78 056 = 1 518 747$

So, the range of learners in 2014 is 1 518 747.

From the table, the values indicate that N represents the learners enrolled in Cyprus, which are not specified in the data, leading us to infer that it is insufficient data. Thus, the lowest number of learners enrolled in 2014 is 78 056 which represents Ireland.

The trend for Greece shows a decline in the number of learners enrolled from 2014 to 2016:

• In 2014, the number was 231 155.
• In 2015, it decreased to 225 596.
• By 2016, it further declined to 214 109.

This indicates a consistent decrease in enrollment over two years.

The decline in enrollment can be defined by the total learners in 2015 versus those in 2016. From the data:

• Total learners in 2015 = 241 153 (Bulgaria) + 302 673 (Denmark) + 414 598 (Germany) + 75 396 (Ireland) + 225 596 (Greece) + 84 705 (Slovenia) + 143 057 (Serbia) + 1 109 352 (Turkey) + 164 309 (Slovakia) + 2 035 420 (UK) = 4 646 337.
• Declines in enrollment = 232 324 (Bulgaria) + 284 655 (Denmark) + 392 992 (Germany) + 79 113 (Ireland) + 214 109 (Greece) + 85 407 (Slovenia) + 146 192 (Serbia) + 1 221 165 (Turkey) + 172 740 (Slovakia) + 2 248 162 (UK) = 4 514 878.

Thus the probability of selecting a learner who has chosen a decline is given by:

P = rac{ ext{Total Learners who Declined} }{ ext{Total Learners in 2015} } = rac{ ext{Number from 2015 less those from 2016} }{4,646,337} = ext{Decimal fraction}

To verify Lindiwe's statement regarding the costs:

1. Total cost for Denmark:

   • Monthly: €520.83
   • Annually: €520.83 x 12 = €6,249.96

2. Total cost for Slovenia:

   • Monthly: €350
   • Annually: €350 x 12 = €4,200

3. Now, finding the ratio of the amounts:

   ext{Ratio} = rac{ ext{Total in Denmark} }{ ext{Total in Slovenia} } = rac{6,249.96}{4,200} \\ = 1.49

This shows that the ratio is not greater than 5:1, hence Lindiwe's statement is INVALID.