Calculating Mean, Median, and Mode with 3 Examples of Hypothetical Figures

Welcome to the next page of our course on Quantitative Methods in a Business Context. In this chapter, we will be discussing measures of central tendency and dispersion, which are essential tools for analysing and interpreting numerical data.

Measures of Central Tendency

Central tendency refers to the middle or central value of a dataset. It provides a representative measure that summarizes the data and helps us understand the typical or average value. The three commonly used measures of central tendency are the mean, median, and mode.

Mean

The mean is calculated by summing up all the values in a dataset and then dividing the sum by the total number of values. It is also known as the average. Let’s consider an example to understand this better.

Example 1:

You are the manager of a retail store and want to calculate the average daily sales for the past week. The sales figures for each day are as follows: £500, £750, £600, £900, £550, £800, £700.

To find the mean, we add up all the sales figures and divide by the total number of days:

Mean = (500 + 750 + 600 + 900 + 550 + 800 + 700) / 7

Mean = 5000 / 7

Mean = 714.29

Therefore, the mean daily sales for the past week is £714.29.

Median

The median is the middle value in a dataset when the values are arranged in ascending or descending order. It is useful when there are extreme values or outliers that can significantly affect the mean. Let’s consider another example.

Example 2:

You are a financial analyst and want to determine the median salary of a group of employees in a company. The salaries of the employees are as follows: £40,000, £30,000, £50,000, £60,000, £35,000, £45,000, £70,000.

To find the median, we first arrange the salaries in ascending order:

£30,000, £35,000, £40,000, £45,000, £50,000, £60,000, £70,000

Since there are 7 values, the middle value is the fourth value, which is £45,000. Therefore, the median salary is £45,000.

Mode

The mode is the value that appears most frequently in a dataset. It can be useful for identifying the most common or popular value. Let’s explore one more example.

Example 3:

You are a market researcher and want to determine the mode of a dataset representing the number of products purchased by customers in a week. The dataset is as follows: 2, 3, 4, 2, 5, 3, 2, 4, 4, 5, 1, 2, 3, 4.

To find the mode, we identify the value that appears most frequently. In this case, the value 2 appears 4 times, which is more than any other value. Therefore, the mode is 2.

These examples demonstrate how to calculate the mean, median, and mode using hypothetical figures. These measures of central tendency are essential tools for analysing and interpreting numerical data in a business context. They help us understand the average, middle, and most common values, respectively, which can inform business decision-making and provide valuable insights.

Now that you have a good understanding of calculating mean, median, and mode, let’s move on to discussing measures of dispersion in the next chapter.