Which of the following is not a measure of dispersion?

Options

A. variance
B. mean deviation
C. standard deviation
D. mode

Answer

To determine which of the following options is not a measure of dispersion, we first need to understand what a measure of dispersion is. Measures of dispersion are statistical tools that describe the spread or variability of a dataset. Common measures of dispersion include:

1. **Variance**: This measures how far each number in the dataset is from the mean and thus from every other number.
2. **Standard Deviation**: This is the square root of the variance and provides a measure of the average distance of each data point from the mean.
3. **Mean Deviation**: This measures the average of the absolute deviations from the mean.

Now, let’s analyze the options provided in the question:

- **Option A**: Variance - This is a measure of dispersion.
- **Option B**: Standard Deviation - This is also a measure of dispersion.
- **Option C**: Mean Deviation - This is another measure of dispersion.
- **Option D**: Mode - This is the value that appears most frequently in a dataset.

The mode indicates the most common value in the dataset but does not provide information about the spread or variability of the data. Therefore, it is not considered a measure of dispersion.

### Conclusion:
The answer to the question "Which of the following is not a measure of dispersion?" is **Mode**.

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