Answer :
Answer: A and C are the correct answers
Step-by-step explanation:
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The possible numbers of riders for week 5 are option (B) 16809 and option (C) 17724 is the correct answer.
What is a mean?
Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
What is a mean absolute deviation?
Mean absolute deviation (MAD) is a way to describe variation in a data set. It is the average distance between each data value and the mean.
For the given situation,
Tim drives the Grand Avenue bus route. He records the total number of passengers each week for 4 weeks. The details are
Mean = 17,123 and
Mean absolute deviation = 611
The possible numbers of riders for week 5 that are within the mean absolute deviation can be calculated by adding and subtracting the MAD value with the mean value.
[tex]17123-611=16512[/tex]
[tex]17123+611=17734[/tex]
Thus the range should lie between [tex]16512[/tex] and [tex]17734[/tex]. The possible numbers of riders for week 5 that are within the mean absolute deviation are 16809 and 17724.
Hence we can conclude that the possible numbers of riders for week 5 are option (B) 16809 and option (C) 17724 is the correct answer.
Learn more about mean and mean absolute deviation here
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