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Answer question 4.2.1 by determining the probability.
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5 stepsAnswer question 4.2.1 by determining the probability.
The capacity of a cinema-style venue is 400 guests. A function is suitable if the number of guests is less than or equal to 400.
List of guests for 2023: .
All 9 of these values are .List of guests for 2022: .
All 7 of these values are .Total number of functions = .
Number of functions suitable for a cinema-style venue = .The probability is the number of suitable functions divided by the total number of functions.
As a decimal, the probability is .
Answer question 4.2.2 by determining the median number of guests for 2023.
First, list the number of guests for 2023 in ascending order:
There are 9 data points. The median is the middle value, which is the -th value.
The 5th value in the ordered list is 200.
The median number of guests accommodated during 2023 is .Answer question 4.2.3 by calculating the range for 2022.
The number of guests for 2022 are: .
To find the range, identify the maximum and minimum values.
Maximum number of guests in 2022 = 360.
Minimum number of guests in 2022 = 70.Calculate the range for 2023.
The number of guests for 2023 are: .
Maximum number of guests in 2023 = 400.
Minimum number of guests in 2023 = 90.Verify the manager's statement.
The manager stated that the range for 2022 is the same as the range for 2023.
Range (2022) = 290.
Range (2023) = 310.
Since , the ranges are not the same.
Therefore, the manager's statement is .
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