IGNOU MCS 226 2026 2027 - Define measures of central tendency and dispersion. Explain how varian

Question

Define measures of central tendency and dispersion. Explain how variance and standard deviation help in understanding data distribution. Discuss the relevance of these measures in Data Science applications.

30 Jul 2026

Answer :

Word Count : 665

Measures of central tendency are statistical measures that represent the central or typical value of a dataset. They provide a single value that summarizes the overall characteristics of data. The three primary measures of central tendency are mean, median, and mode. The mean is the arithmetic average of all observations and is calculated by dividing the sum of all values by the total number of observations. It is widely used because it considers every data point. The median is the middle value when data is arranged in ascending or descending order and is particularly useful when the dataset contains extreme values or outliers. The mode is the value that occurs most frequently in a dataset and is commonly used for categorical data or identifying the most common observation. Measures of dispersion describe the extent to which data values are spread around the central value. While measures of central tendency indicate the location of data, measures of dispersion explain the variability

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