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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

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

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Answer

From the table, the operator with the highest increase in daily flights since 2019 is Wizz Air Group, operating an increase of daily flights.

Step 2

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

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Answer

To find the missing value A, we use the formula for percentage change:

A=3 (Average Daily Flights in 2022)4290 (Average Daily Flights in 2019)4290×100A = \frac{3 \text{ (Average Daily Flights in 2022)} - 4 290 \text{ (Average Daily Flights in 2019)}}{4 290} \times 100

Using the daily flight value of 3 763 for 2022:

ightarrow A = 2 966 \text{ (after rounding to the nearest whole number)}$$

Step 3

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

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Answer

To find the range for percentage change, we need to identify the maximum and minimum percentage changes:

  • Maximum % change = +29%
  • Minimum % change = -15%

Range = Maximum - Minimum:

Range=29%(15%)=29%+15%=44%\text{Range} = 29\% - (-15\%) = 29\% + 15\% = 44\%

Step 4

5.1.4 Calculate missing value B, if the mean number of flights for aircraft operators for 2022 is 1 028,2.

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Answer

Using the mean to solve for B:

B+536+547+566+2566=1028,2×10B + 536 + 547 + 566 + 2 566 = 1 028,2 \times 10

Solving gives:

B=1028,2×10(536+547+566+2566)=642B = 1 028,2 \times 10 - (536 + 547 + 566 + 2 566) = 642

Step 5

5.1.5 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

To calculate the probability:

  • Total operators = 10
  • Operators with increased flights = 2 (only Wizz Air Group and Ryanair Group)

Probability = ( P = \frac{2}{10} = 0.2 )

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