Mean Absolute Deviation 2023/Scatterplots

Front

What is Mean Absolute Deviation (MAD)?

Back

Mean Absolute Deviation (MAD) is a measure of the dispersion or spread 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 to find the absolute differences. 3. Find the mean of these absolute differences.

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables where each point represents an observation. It helps to visualize the relationship between the variables.

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What does a trendline in a scatterplot indicate?

Back

A trendline indicates the general direction or pattern of the data points in a scatterplot, showing whether the relationship is positive, negative, or non-existent.

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What is the first step in calculating Mean Absolute Deviation?

Back

The first step is to find the mean of the given data set.

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What is the purpose of using Mean Absolute Deviation?

Back

The purpose of using Mean Absolute Deviation is to understand how much the data points deviate from the mean, providing insight into the variability of the data.

Front

If the mean of a data set is 10 and the data points are 8, 12, and 14, what is the Mean Absolute Deviation?

Back

MAD = (|8-10| + |12-10| + |14-10|) / 3 = (2 + 2 + 4) / 3 = 2.67.

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What does a positive slope in a scatterplot indicate?

Back

A positive slope indicates that as one variable increases, the other variable also tends to increase.

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What does a negative slope in a scatterplot indicate?

Back

A negative slope indicates that as one variable increases, the other variable tends to decrease.

Front

What is the second step in calculating Mean Absolute Deviation?

Back

The second step is to subtract the mean from each original data point.