The important measures of dispersion are:

A. Mean

B. Standard Deviation

C. Mean Deviation

D. Range

Choose the most appropriate answer from the options given below:

The correct answer is B, C, and D only.

Key Points

• Measures of dispersion, also known as measures of variability or spread, are statistical tools that help you understand how data points in a dataset are spread out or dispersed from the central tendency (typically the mean or median).
• These measures provide insights into the variability, consistency, and distribution of the data.
• Here are some common measures of dispersion:
  • Range: The range is the simplest measure of dispersion and is calculated by subtracting the minimum value from the maximum value in the dataset.
  • Variance: Variance measures the average of the squared differences between each data point and the mean of the dataset.
  • Standard Deviation: The standard deviation is the square root of the variance. It represents the average deviation of data points from the mean.
  • Mean Absolute Deviation (MAD): MAD measures the average absolute difference between each data point and the mean.
  • Percentiles: Percentiles are values that divide a dataset into hundredths (1st percentile, 2nd percentile, etc.).

Additional Information

• Measures of central tendency are statistics that describe the central or typical value in a dataset. They help summarize where the "center" of the data is located.
• The three most common measures of central tendency are:
  • Mean (Average)
  • Median:
  • Mode.