Write differences between mean, median and mode?

Mean, median, and mode are measures of central tendency used in statistics to describe the center or average of a set of data.

Mean:
The mean, commonly referred to as the average, is calculated by summing up all the values in a dataset and dividing by the total number of observations. It is sensitive to extreme values and provides a balanced representation of the entire dataset.

Median:
The median is the middle value in a dataset when it is arranged in numerical order. If there is an even number of observations, the median is the average of the two middle values. The median is less influenced by extreme values, making it a robust measure of central tendency, especially in skewed distributions.

Mode:
The mode is the value that appears most frequently in a dataset. A dataset may have one mode, more than one mode (bimodal, trimodal, etc.), or no mode at all. The mode is useful for categorical data and can be applied to numerical data as well. Unlike the mean and median, the mode gives information about the most frequent values in a dataset.

In summary, while the mean represents the average, the median denotes the middle value, and the mode identifies the most common value in a dataset. Each measure provides a different perspective on the central tendency of the data, offering insights into its distribution and characteristics.