Question

The average monthly temperature in New Orleans, LA has a mean absolute deviation of 43.5*F what conclusion can you make about the average monthly temperatures in New Orleans, La.

Answer 1

The average monthly temperature in New Orleans, LA  varies on average about 43.5°F from its monthly mean temperature.

How to find the mean absolute deviation of a discrete data?

Suppose the data specified is of n sized as

$x_1, x_2, \cdots , x_n$

Let this data's mean be  $\bar{x}$

Then, the mean absolute deviation of this data is the mean of the absolute differences of the observations from the mean of the data they belong to.

It is calculated as:

$M.A.D = \dfrac{\sum_{i=1}^n|x_i-\bar{x}|}{n}$

So, Mean Absolute deviation is the average of the deviation (not caring if its above or below the mean) of the data values.

Since it is given that:

Mean absolute deviation of the temperatures (monthly) in New Orleans = 43.5°F, therefore, it means, the temperature averagely varies  43.5°F from its monthly average value.

where mean shows the average monthly temperature in New Orleans, LA.

Thus, the average monthly temperature in New Orleans, LA  varies on average about 43.5°F from its mean temperature.

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