Respuesta :
Higher mean absolute deviation is an example of a measure of variability and range. It give us some information about how spread out the data in a data set is. When used together with measures of center like the mean and median, they can give us a useful overview of the data set.
For an example,
A chef wants to hire someone to work in his kitchen. There are two candidates: Sally and Nader. To test their abilities, he times how long it takes them to make each of four meals and records the data in two tables.
He decides to calculate the mean time it took each candidate to make the four meals; he is planning to hire the candidate with the lower (quicker) mean time.
The mean time it takes Sally to make a meal is
= 3+5+7+9 / 4
=24/6
= 6 minutes
The mean time it takes Nader to make a meal is
= 5+6+5+8 / 4
=24/4
= 6 minutes
After having mean times same he doesn't classify which one is best he used their statical graphs.
For Sally, the mean absolute deviation of her times is the mean of the distances,
=4+1+2+3 / 4
=2.5
For Nader, the mean absolute deviation of his times is
= 1+0+1+2 / 4
=1
The chef sees that the mean absolute deviation of Nader’s times is lower than the mean absolute deviation of Sally’s times. This shows that Nader is more consistent in his cooking times and agrees with what we observed from the bar graphs.
Which means that the higher mean absolute deviation occurs less consistency in the mean absolute deviation.
To know more about Absolute mean deviation
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