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
Question 5
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=42903 (Average Daily Flights in 2022)−4290 (Average Daily Flights in 2019)×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%
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=1028,2×10
Solving gives:
B=1028,2×10−(536+547+566+2566)=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)