Average:-The average is a measure of central tendency, which is a way to represent the typical value of a set of data. It is calculated by adding up all the values in the data set and then dividing by the number of values. There are many different types of averages, but the most common are:
1) Mean
2) Median
3) Mode
In statistics, mean, median, and mode are three measures of central tendency, which is a way to represent the typical value of a set of data. They capture different aspects of the data's distribution:
Mean: The average of all the values in the data set. It is calculated by adding up all the values and then dividing by the number of values.
Median: The middle value when the data is ordered from least to greatest. If there are an even number of values, the median is the average of the two middle values.
Mode: The value that appears most frequently in the data set.
Here's an example to illustrate the difference between these measures:
| Data | Mean | Median | Mode |
| {1, 2, 3, 4, 5} | 3 | 3 | 1 |
| {1, 1, 2, 3, 4} | 2.2 | 2 | 1 |
In the first example, the mean, median are equal to 3. This is because the data is symmetrically distributed around the center value. In the second example, the mean is slightly higher than the median and mode because the data is skewed to the right. The mode is 1 because it appears twice, while the other values appear only once.
