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TABLE 6 below shows the average daily flights taken in the top 10 countries, the top 10 aircraft operators for 2022 and the percentage (%) change from 2019 - NSC Mathematical Literacy - Question 5 - 2023 - Paper 1

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TABLE-6-below-shows-the-average-daily-flights-taken-in-the-top-10-countries,-the-top-10-aircraft-operators-for-2022-and-the-percentage-(%)-change-from-2019-NSC Mathematical Literacy-Question 5-2023-Paper 1.png

TABLE 6 below shows the average daily flights taken in the top 10 countries, the top 10 aircraft operators for 2022 and the percentage (%) change from 2019. Some val... show full transcript

Worked Solution & Example Answer:TABLE 6 below shows the average daily flights taken in the top 10 countries, the top 10 aircraft operators for 2022 and the percentage (%) change from 2019 - NSC Mathematical Literacy - Question 5 - 2023 - Paper 1

Step 1

Write down the aircraft operator whose average daily flights increased the most since 2019.

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Answer

The aircraft operator whose average daily flights increased the most since 2019 is Ryanair Group, with an increase of 20%.

Step 2

Determine missing value A, rounded to the nearest whole number.

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Answer

To find missing value A:

A=(A4290)4290×100A = \frac{(A - 4 290)}{4 290} \times 100

From the data, we know France's average daily flights in 2022 is provided as 3 763. Thus,

A=(37634290)4290×10012.28%A = \frac{(3 763 - 4 290)}{4 290} \times 100 \approx -12.28 \%

Rounded to the nearest whole number, A is -12%.

Step 3

Calculate the range for the % change from 2019 for the aircraft operators.

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Answer

To calculate the range for % change, we identify the highest and lowest % changes:

  • The maximum increase is 20% (Ryanair Group).
  • The maximum decrease is -15% (Switzerland).

The range is calculated as:

Range=MaxMin=20%(15%)=35%\text{Range} = \text{Max} - \text{Min} = 20\% - (-15\%) = 35\%

Step 4

Calculate missing value B, if the mean number of flights for aircraft operators for 2022 is 1 028.

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Answer

To find missing value B, we assume the mean is calculated from the sum of all flights divided by the number of operators:

If 1 028 = (B + 536 + 547 + 536 + 536 + 536 + 536)/7, then:

B+3595=1028×7B + 3 595 = 1 028 \times 7

Thus, B=71963595=3601B = 7 196 - 3 595 = 3 601

Step 5

Determine the probability, as a decimal, of randomly selecting an aircraft operator whose average daily flights increased from 2019 to 2022.

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Answer

From the data, 2 out of 10 aircraft operators increased their average daily flights. Therefore, the probability is:

P=210=0.2P = \frac{2}{10} = 0.2

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