Mode, Mean, Median Using User Defined Function In Java

INTRODUCTION

Statistics is a science that studies how to plan, collect, analyze, and draw conclusions from data. It plays a crucial role in various fields, such as economics, medicine, social sciences, and government. For example, a population census is a real-world application of statistics, where data is gathered about individuals in a country to provide insights into demographics, employment, education, and more.

Mean, median, and mode are fundamental concepts in statistics used to summarize and describe data distributions. These measures help in understanding the central tendencies of a dataset, making it easier to interpret large amounts of information. Here's how each relates to statistics:

Mean (Average):

The mean is the sum of all the values in a dataset divided by the number of values. It provides a mathematical average, which gives an idea of the general magnitude of the values. In statistics, the mean is commonly used to analyze normally distributed data but can be sensitive to outliers (extremely high or low values).

Here's the sigma notation for the mean (average) in statistics:

\mu=\frac{1}{N}\sum_{i=1}^{N}x_i

Where:

μ (mu) represents the mean

N is the number of values in the dataset

xᵢ represents each individual value

∑ (sigma) indicates the sum from i=1 to n

to be continued...