HELP; The life spans of 10 adult mayflies have a mean of 4 hours and a MAD of 2 hours. Fill in the table below with possible values for the life spans. You can use the same values more than once. Can any one of the 10 mayflies in the group live for 1 full day? Justify your answer.
Answers
No, any one of the 10 mayflies in the group live for 1 full day.
What is the absolute mean deviation?
The mean absolute deviation (MAD) is a measure of variability that indicates the average distance between observations and their mean.
The life spans of 10 adult mayflies have a mean of 4 hours and a MAD of 2 hours.
Fill in the table below with possible values for the life spans. You can use the same values more than once.
Mean = 4 hours.
Mean absolute deviation = 2 hours.
Assume that the life spans of each fish is 4 hours;
Then mean = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4/10
= 40/10
= 4 hours.
No fish can live for a full day.
Hence, No, any one of the 10 mayflies in the group live for 1 full day.
Learn more about mean deviation here;
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Step-by-step answer:
Assuming MAD stands for mean absolute deviation (2 hours), then the total absolute deviation from the mean (4 hours) is 10*2=20 hours.
If one of the flies live for 1 full day, the absolute deviation is 24-4=20 hours. This automatically requires the other flies live exactly 4 hours to have the MAD equal to 20 hours.
However, the above arrangement does not give a mean of 4 hours, but a mean of (24+9*4)/10=6 hours. This means that it is not possible to have a fly living for a full day.
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