Statistics Dispersion Quiz

What does the term 'dispersion' in statistics refer to?

• The sum of all data points

• The spread or variability of a set of data

• The shape of the data distribution

• The center of a distribution

Which of the following measures is not a measure of dispersion?

• Mean

• Variance

• Range

• Standard Deviation

The range is calculated as:

• The difference between the maximum and minimum values

• The product of the data set

• The sum of all values in the data set

• The average of the data set

The interquartile range (IQR) is a measure of dispersion based on which quartiles?

• First and third quartiles

• Second and fourth quartiles

• First and second quartiles

• Second and third quartiles

Which measure of dispersion is influenced heavily by extreme values in a data set?

• Interquartile Range

• Standard Deviation

• Variance

• Range

Question: Given the following dataset: 12, 15, 18, 20, 22, calculate the range.

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A set of data has a mean of 45 and a standard deviation of 5. Calculate the coefficient of variation.

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The monthly incomes (in dollars) of a group of employees are: 4000, 4500, 3800, 4200, 5000. Calculate the coefficient of variation.

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Question: The ages of a group of students are: 18, 20, 22, 24, 26. What is the range of ages?

• 8

• 6

• 10

• 12

Question: The standard deviation of a dataset is 5, and the mean is 30. What is the coefficient of variation (CV)?

• 16.67%

• 25%

• 20%

• 15%