# Mean, Median, Mode and Range

## Mean, Median, Mode and Range

# Mean

- The
**mean**is calculated by adding up all the values in a set of data and then dividing by the number of values. - To find the mean of a frequency distribution, multiply each value by its frequency, then add up these products and divide by the total frequency.
- The mean is often referred to as the ‘average’.

# Median

- The
**median**is the middle value in a set of data when the data is arranged in ascending or descending order. - If there is an even number of data points, the median is the mean of the two central points.
- The median can be a better measure of central tendency when data is skewed or there are extreme outliers.

# Mode

- The
**mode**is the value that appears most frequently in a data set. - A dataset may have more than one mode (bimodal, trimodal, etc.) if multiple values appear with the same greatest frequency.
- If no value repeats, the data set does not have a mode.

# Range

- The
**range**is the difference between the highest and lowest values in a set of data. - It provides a measure of how spread out the values in a data set are.
- The range is greatly affected by outliers or extreme values in the set.
- Small ranges may suggest the data is consistent, while large ranges suggest data is widely spread out.

# The Importance of Mean, Median, Mode, and Range

- Understanding the mean, median, mode, and range helps provide a comprehensive picture of a dataset.
- The mean may provide a general sense of the ‘average’, but the median can offer a clearer picture of the middle range, especially in skewed distributions.
- The mode indicates the most frequently occurring value, letting you identify common elements or trends.
- The range gives you an overall sense of the spread of your data and the variability within it.
- Consider all these statistical measures together when analysing a dataset to make more informed and accurate conclusions.