# 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.