D138 Activity: MAD + Overlap

Front

What is Mean Absolute Deviation (M.A.D.)?

Back

Mean Absolute Deviation (M.A.D.) is a measure of the dispersion or variability of a set of data points. It is calculated by taking the average of the absolute differences between each data point and the mean of the data set.

Front

How do you calculate the Mean Absolute Deviation?

Back

1. Find the mean of the data set. 2. Subtract the mean from each data point and take the absolute value of each result. 3. Find the average of these absolute values.

Front

What does a higher M.A.D. indicate about a data set?

Back

A higher M.A.D. indicates greater variability or spread in the data set, meaning the data points are more spread out from the mean.

Front

What does a lower M.A.D. indicate about a data set?

Back

A lower M.A.D. indicates less variability or spread in the data set, meaning the data points are closer to the mean.

Front

Given the data set 5, 11, 2, 7, 16, what is the mean?

Back

The mean is 8.2.

Front

If the M.A.D. of a data set is 4.2, what does this tell us?

Back

It tells us that, on average, the data points deviate from the mean by 4.2 units.

Front

What is the overlap in a dot plot?

Back

The overlap in a dot plot refers to the range of values that appear in both data sets represented in the dot plots.

Front

How do you find the overlap between two dot plots?

Back

Identify the common values that appear in both dot plots and list them.

Front

If two dot plots show values 18, 19, 20 and 21, 22, what is the overlap?

Back

The overlap is 21, 22.

Front

What is the significance of identifying overlap in data sets?

Back

Identifying overlap helps in understanding the commonality between two data sets, which can be important for comparisons.