Mean Absolute Deviation

Front

What is the Mean Absolute Deviation (MAD)?

Back

The Mean Absolute Deviation (MAD) is a measure of the dispersion of a set of data points around their mean, calculated as the average of the absolute differences between each data point and the mean.

Front

How do you calculate the mean of a data set?

Back

To calculate the mean, sum all the values in the data set and then divide by the number of values.

Front

What is the first step in calculating the Mean Absolute Deviation?

Back

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

Front

What is the second step in calculating the Mean Absolute Deviation?

Back

The second step is to find the distance each value is away from the mean.

Front

True or False? The absolute value of a number will always be positive.

Back

True.

Front

What is the formula for calculating Mean Absolute Deviation?

Back

MAD = (1/n) * Σ|xi - mean|, where xi represents each data point, mean is the average of the data points, and n is the number of data points.

Front

What does the absolute value represent in the context of Mean Absolute Deviation?

Back

The absolute value represents the distance of each data point from the mean, disregarding the direction (positive or negative).

Front

If the data set is 56, 21, 55, 30, 33, what is the mean?

Back

The mean of the data set is 39.

Front

What is the Mean Absolute Deviation of the data set 56, 21, 55, 30, 33?

Back

The Mean Absolute Deviation is 13.2.

Front

Why is Mean Absolute Deviation important in statistics?

Back

Mean Absolute Deviation is important because it provides a clear measure of variability in a data set, helping to understand how spread out the values are.