Measures of Central Tendency A measure of central tendency is a statistic that describes the "average" value of a set of data. It provides a single, represe...
Measures of Central Tendency
A measure of central tendency is a statistic that describes the "average" value of a set of data. It provides a single, representative number that captures the central tendency of the data.
There are three main measures of central tendency:
Mean (X): The mean, also known as the average, is calculated by adding up all the values in the dataset and dividing the sum by the total number of values.
Median: The median is the middle value in the dataset when arranged in order from smallest to largest. If there is an odd number of values, the median is the average of the two middle values.
Mode: The mode is the value that appears most frequently in the dataset.
Measures of central tendency are used in various statistical analysis methods, including hypothesis testing, regression analysis, and data visualization. They provide insights into the central tendency and variation of a dataset.
Examples:
Mean: In a set of exam scores, the mean (X) would be the average score.
Median: In a dataset with the following values: 10, 15, 20, 25, 30, the median would be 20.
Mode: In the dataset {10, 15, 20, 25, 30}, the mode is 20