Choose the correct answer from the options given below:

Which of the following are measures of dispersion?

A. Standard Deviation
B. Quartile Deviation
C. Mode
D. Variance
E. Range

Correct option is C

Explanation:

Measures of dispersion quantify the extent of variation or spread in a dataset. The correct measures include:

1. A. Standard Deviation:
• Represents the average distance of each data point from the mean.
2. B. Quartile Deviation:
• Also known as the semi-interquartile range, it measures the spread of the middle 50% of the data.
3. D. Variance:
• Represents the average of the squared deviations from the mean and is a foundational measure of dispersion.
4. E. Range:
• The difference between the maximum and minimum values in a dataset.

Information Booster :

·         Measures of dispersion help identify the degree of spread in data, which can highlight how consistent or variable the data is.

·         In analysis, dispersion is useful for:

o    Assessing reliability: Low dispersion (e.g., small standard deviation) suggests data points are close to the mean, indicating consistency.

o    Comparing datasets: It helps compare how spread out two datasets are, even if their means are similar.

o    Identifying outliers: High dispersion can signal the presence of outliers or extreme values in the data.

Additional Information (Incorrect Option):

1. C. Mode:
• Represents the most frequently occurring value in a dataset.
• It is a measure of central tendency, not dispersion.