Question

Tania and Miguel are both blog writers. The table listed below shows the number of new followers each of them gained in each of the last 10 days.A.What is the mean absolute deviation of Tanias dataB. What is the mean absolute deviation of Miguels dataC. Whose data is more valid?

Answer 1

ialidMean Absolute Deviation of Tanias Data

55,65,66,73,77,82,88,91,101,113

The formula for calculating the mean absolute deviation is given by:

`Mean\text{ Absolute Deviation = }(1)/(n)\sum_{i\mathop{=}1}^n\lvert{x_(i-)}\bar{x}\rvert`

where n is the number of observed values, x-bar is the mean of the observed values and xi are the individual values.

Mean Absolute Deviation of Tanias is given below;

`MeanAbsoluteDeviationMAD:13.9`

Next is Mean Absolute Deviation of Miguel;

Using the formula already stated;

`MeanAbsoluteDeviation\text{ }MAD:12.3`

To determine whose data is more valid;

Miquel's data is more valid because it has a smaller mean absolute deviation.