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Parents Pricing Home NSC Mathematical Literacy Collecting data 5.1 A survey published by the Department of Education reported on the number of schools, learners and teachers in ordinary public schools and independent schools during 2013
5.1 A survey published by the Department of Education reported on the number of schools, learners and teachers in ordinary public schools and independent schools during 2013 - NSC Mathematical Literacy - Question 5 - 2017 - Paper 1 Question 5
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View marking scheme Worked Solution & Example Answer:5.1 A survey published by the Department of Education reported on the number of schools, learners and teachers in ordinary public schools and independent schools during 2013 - NSC Mathematical Literacy - Question 5 - 2017 - Paper 1
Which province had the second lowest number of learners? Only available for registered users.
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According to the data in TABLE 3, the province with the second lowest number of learners is the Free State.
Determine the total number of teachers in South Africa for 2013. Only available for registered users.
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To find the total number of teachers, sum the number of teachers across all provinces.
The total number of teachers is:
66007 + 24475 + 74823 + 96057 + 57108 + 34936 + 8972 + 26194 + 36451 = 425023 66 007 + 24 475 + 74 823 + 96 057 + 57 108 + 34 936 + 8 972 + 26 194 + 36 451 = 425 023 66007 + 24475 + 74823 + 96057 + 57108 + 34936 + 8972 + 26194 + 36451 = 425023
Calculate the percentage of schools found in KwaZulu-Natal. Only available for registered users.
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The percentage of schools in KwaZulu-Natal can be calculated using:
ext{Percentage of schools} = rac{ ext{Number of schools in KZN}}{ ext{Total number of schools}} imes 100
Using the values from the TABLE, substitute the correct numbers to find the percentage.
Use the formula below and determine the LSR for Gauteng. Only available for registered users.
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To calculate the Learner-School Ratio (LSR) for Gauteng, use the formula:
ext{LSR} = rac{ ext{Total number of learners in Gauteng}}{ ext{Total number of schools in Gauteng}}
After substituting the values from the TABLE, the LSR can be computed.
Write down the modal ratio. Only available for registered users.
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The modal ratio is the most frequently occurring Learner-Teacher ratio among the provinces, which can be identified from the calculated ratios.
Arrange the ratios in descending order. Only available for registered users.
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List all the Learner-Teacher Ratios calculated and arrange them from highest to lowest value.
Determine the median ratio. Only available for registered users.
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To find the median, first arrange the learner-teacher ratios in ascending order. The median will be the middle value in this ordered list.
Write down the percentage of learners who arrive late if it does not rain. Only available for registered users.
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From the tree diagram, when it does not rain, 10% of learners arrive late.
Write down the missing outcomes (a) and (b). Only available for registered users.
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(a) The probability of a learner being late (L) given it does not rain (N) is 0.1.
(b) The probability of a learner not being late (D) given it does not rain is 0.9.
Write down the probability (as a simplified common fraction) of randomly selecting a learner who arrived late for school on a rainy day. Only available for registered users.
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The probability of selecting a learner who is late on a rainy day can be derived using the values from the tree diagram and simplifying it.
If the school has 1 562 learners, determine how many learners will not be late if the chance for rain is 25%. Only available for registered users.
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To find the number of learners who will not be late, calculate:
e x t N u m b e r n o t l a t e = e x t T o t a l l e a r n e r s i m e s P ( e x t n o t l a t e e x t o n a r a i n y d a y ) ext{Number not late} = ext{Total learners} imes P( ext{not late} ext{ on a rainy day}) e x t N u mb er n o tl a t e = e x t T o t a ll e a r n ers im es P ( e x t n o tl a t e e x t o na r ain y d a y )
Use the data from the problem to find this number.
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