MAD and SD Quiz

What is the formula for calculating Mean Absolute Deviation (MAD)?

• MAD = (x1 + x2 + ... + xn)

• MAD = (x1 + x2 + ... + xn) / n

• MAD = (x1 - x̄) / n

• MAD = (|x1 - x̄| + |x2 - x̄| + ... + |xn - x̄|) / n

Calculate the Mean Absolute Deviation (MAD) for the following set of numbers: 5, 8, 10, 12, 15

• 4.6

• 6.1

• 3.2

• 2.8

What does the Mean Absolute Deviation (MAD) measure?

• Variability or dispersion of data

• Probability of an event

• Correlation between variables

• Central tendency of data

What is the formula for calculating Standard Deviation (SD)?

• Sum of the data points divided by the number of data points.

• Square root of the variance

• Product of the data points divided by the number of data points.

• Mean of the data points.

Calculate the Standard Deviation (SD) for the following set of numbers: 2, 4, 6, 8, 10

• 7.21

• 5.67

• 2.83

• 3.5

What does the Standard Deviation (SD) measure?

• Range of values in a set of values.

• Average value in a set of values.

• Median value in a set of values.

• Amount of variation or dispersion in a set of values

Which measure of dispersion is more affected by outliers: Mean Absolute Deviation (MAD) or Standard Deviation (SD)?

• Range

• Mean Absolute Deviation (MAD)

• Standard Deviation (SD)

• Variance

What is the range of possible values for Mean Absolute Deviation (MAD)?

• 0 to positive infinity

• 1 to positive infinity

• 0 to negative infinity

• -∞ to ∞

What is the range of possible values for Standard Deviation (SD)?

• 1 to ∞

• 0 to positive infinity

• 0 to -∞

• -∞ to ∞

When would you use Mean Absolute Deviation (MAD) instead of Standard Deviation (SD) to measure dispersion?

• When the dataset contains outliers or extreme values.

• When the dataset has a large range of values.

• When the dataset is small.

• When the dataset is normally distributed.