Question

The score below represents Akilahs science exam score 20 90 25 100 85 30 what is the MAD of her test

Answer 1

The mean absolute deviation (MAD) of the dataset is 33.333.

Explanation:

The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

These are the steps to calculate the mean absolute deviation.

Step 1: Calculate the mean.

`Mean = (20+90+25+100+85+30)/(6) =(175)/(3)\approx58.333`

Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.

`|20-(175)/(3) |=(115)/(3)\\\\|90-(175)/(3) |=(95)/(3)\\\\|25-(175)/(3) |=(100)/(3)\\\\|100-(175)/(3) |=(125)/(3)\\\\|85-(175)/(3) |=(80)/(3)\\\\|30-(175)/(3) |=(85)/(3)`

Step 3: Add those deviations together.

`(115)/(3)+(95)/(3)+(100)/(3)+(125)/(3)+(80)/(3)+(85)/(3)=(600)/(3)=200`

Step 4: Divide the sum by the number of data points.

`MAD=(200)/(6) =33.333`