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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.
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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