Use TABLE 2 above to answer the questions that follow. 3.1.1 Write down the province with the second highest number of sheep for February 2021. 3.1.2 Calculate Eastern Cape's estimated total number of livestock for August 2020. 3.1.3 The provincial mean number of sheep is 400 444. A farmer in Limpopo stated that the missing value A in the table is less than 200. Verify, showing ALL calculations, whether the farmer's statement is valid.

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Use TABLE 2 above to answer the questions that follow - NSC Mathematical Literacy - Question 3 - 2022 - Paper 1

Question 3

Use TABLE 2 above to answer the questions that follow. 3.1.1 Write down the province with the second highest number of sheep for February 2021. 3.1.2 Calculate Eas... show full transcript

Worked Solution & Example Answer:Use TABLE 2 above to answer the questions that follow - NSC Mathematical Literacy - Question 3 - 2022 - Paper 1

Step 1

Write down the province with the second highest number of sheep for February 2021.

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Answer

To find the province with the second highest number of sheep for February 2021, we refer to the table:

Western Cape: 2497
Northern Cape: 1434
Free State: 2415
Eastern Cape: 1961
KwaZulu-Natal: 668
Mpumalanga: 78
Limpopo: 503
Gauteng: 94
North West: 651

The province with the highest number is the Western Cape, followed by the Free State with 2415 sheep.

Thus, the answer is Free State.

Step 2

Calculate Eastern Cape's estimated total number of livestock for August 2020.

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Answer

The table shows the following livestock numbers for Eastern Cape in August 2020:

Cattle: 3,050
Sheep: 3,059
Goats: 1,631

To calculate the total:
$ext{Total} = ext{Cattle} + ext{Sheep} + ext{Goats}$
Substituting in the values:
$ext{Total} = 3050 + 3059 + 1631 = 7740$

Therefore, Eastern Cape's estimated total number of livestock for August 2020 is 7740.

Step 3

The provincial mean number of sheep is 400 444.

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Answer

To verify the farmer's statement about the missing value A, we will first determine the total number of sheep from the given data:

Total sheep as per the table:
$ext{Total Sheep} = 2497 + 1434 + 2415 + 1961 + 668 + 78 + 503 + 94 + 651$ Calculating each step:
Western Cape: 2497
Northern Cape: 1434
Free State: 2415
Eastern Cape: 1961
KwaZulu-Natal: 668
Mpumalanga: 78
Limpopo: 503
Gauteng: 94
North West: 651

Summing these values:
$ext{Total} = 2497 + 1434 + 2415 + 1961 + 668 + 78 + 503 + 94 + 651 = 10,447$

The mean number of sheep is given by:
$ext{Mean} = rac{ ext{Total}}{N}$ where N is the number of provinces (9).
Calculating the mean:
$ext{Mean} = rac{10447}{9} ext{ which gives } 1160.78$
Since the mean is 400,444, we deduce:
$A < 200$ is not valid because we need to use calculated means for realistic comparisons.

Use TABLE 2 above to answer the questions that follow - NSC Mathematical Literacy - Question 3 - 2022 - Paper 1

Worked Solution & Example Answer:Use TABLE 2 above to answer the questions that follow - NSC Mathematical Literacy - Question 3 - 2022 - Paper 1

Write down the province with the second highest number of sheep for February 2021.

Calculate Eastern Cape's estimated total number of livestock for August 2020.

The provincial mean number of sheep is 400 444.

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