What is an example of a measure of variability?

What is an example of a measure of variability?

• A. Median
• B. Variance
• C. Range
• D. Mode

Answer: (C)

The correct choice is a measure of variability, which quantifies how spread out the values in a data set are. The range specifically measures variability by calculating the difference between the highest and lowest values in that set. This provides a straightforward indication of the total spread of the data. While median, variance, and mode describe different statistical properties, they serve different purposes. The median is a measure of central tendency, indicating the middle value of a data set when arranged in order. The mode represents the most frequently occurring value in the data set, which also does not indicate variability. Variance, while focused on spread, is a more complex measure that averages the squared deviations from the mean, requiring additional calculation beyond simply identifying the highest and lowest values. Thus, the range is the simplest and most direct measure of variability among the options listed.

The correct choice is a measure of variability, which quantifies how spread out the values in a data set are. The range specifically measures variability by calculating the difference between the highest and lowest values in that set. This provides a straightforward indication of the total spread of the data.

While median, variance, and mode describe different statistical properties, they serve different purposes. The median is a measure of central tendency, indicating the middle value of a data set when arranged in order. The mode represents the most frequently occurring value in the data set, which also does not indicate variability. Variance, while focused on spread, is a more complex measure that averages the squared deviations from the mean, requiring additional calculation beyond simply identifying the highest and lowest values. Thus, the range is the simplest and most direct measure of variability among the options listed.