Which of the following is an example of a measure of dispersion?Group of answer choicesmedianmodevariancemidrange

Identifying Measures of Dispersion

1. Definition of Measures of Dispersion: Measures of dispersion are statistical tools that describe the spread or variability of a dataset. Common examples include variance, standard deviation, and range.

2. Analyzing the Options:

   • Median: This is a measure of central tendency, not dispersion. It represents the middle value in a dataset when arranged in order.
   • Mode: Also a measure of central tendency, the mode is the most frequently occurring value in a dataset.
   • Variance: This is the correct measure of dispersion. Variance quantifies how far each number in a dataset is from the mean (average) and thus from every other number.
   • Midrange: This is calculated as the average of the maximum and minimum values in a dataset, which does not reflect the spread of all the data points.

Conclusion

The only option that represents a measure of dispersion is variance.