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Marketing Maths
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Teaching Business
Marketing Maths
A clear guide to key marketing calculations and data analysis, including correlation, scatter graphs, percentage change and index numbers.
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Created by an experienced Head of Business and examiner
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AQA | Edexcel | Cambridge | Eduqas | WJEC | OCR | GCSE
KEY POINTS
Correlation analysis shows whether two variables appear to move together, such as advertising spending and sales.
A scatter graph plots pairs of data to show whether there is a positive, negative or weak relationship.
A line of best fit can help show the general pattern in the data and support cautious predictions.
Correlation does not prove causation because another factor may be causing the relationship.
Percentage change shows how much a figure has increased or decreased compared with the original value.
Index numbers make it easier to compare changes over time by setting a base year equal to 100.
Index numbers can be used to compare sales, prices, market size or customer numbers across different periods.
Strong marketing decisions use numerical evidence alongside customer research, competitor analysis and business judgement.
KEY DEFINITION
Extrapolation
Extrapolation is the use of historical data to project the trend forward into the future to predict likely outcomes in terms of sales etc.
Main Explanation
Marketing maths helps businesses make better decisions by using numerical evidence. In marketing, managers often need to interpret sales figures, market data, customer numbers, advertising results and changes over time. Calculations do not make decisions on their own, but they can help reduce guesswork.
Correlation analysis is used to explore whether two variables appear to move together. For example, a business might compare advertising spending with sales revenue to see whether higher advertising spending is associated with higher sales. If both variables tend to rise together, this suggests positive correlation.
A scatter graph is a useful way to show correlation visually. Each point on the graph represents a pair of values, such as advertising spending and sales. If the points move upwards from left to right, this suggests positive correlation. If they move downwards from left to right, this suggests negative correlation. If the points are widely spread with no clear pattern, the correlation is weak or absent.
A line of best fit can be added to a scatter graph to show the general pattern in the data. The line does not need to pass through every point. Instead, it should show the overall direction of the relationship. Businesses may use this to make cautious predictions, such as estimating sales at a given level of advertising spending.
However, correlation does not prove causation. Even if advertising spending and sales rise together, it does not automatically prove that advertising caused the rise in sales. Other factors such as seasonality, pricing, competitor activity, product quality or economic conditions may also affect sales.
Percentage change is another important calculation. It shows how much a figure has increased or decreased compared with the original value. The formula is change divided by the original value multiplied by 100. This is useful when comparing sales growth, market growth, customer numbers or campaign performance.
For example, if sales rise from £80,000 to £100,000, the change is £20,000. The percentage change is £20,000 divided by £80,000 multiplied by 100, which equals 25%. This tells managers that sales have increased by a quarter compared with the original figure.
Index numbers are used to compare changes over time. A base year or base period is set equal to 100. Later figures are then shown as index numbers compared with that base. For example, if sales rise from £80,000 in the base year to £100,000, the index number becomes 125. This means sales are 25% higher than in the base year.
Index numbers can make trends easier to see, especially when comparing several years or different data sets. For example, a business could compare how sales, prices and market size have changed over time, even if the original figures are measured in different units.
Marketing maths is useful because it helps businesses measure change, spot patterns and compare performance. However, managers should avoid relying only on calculations. Good marketing decisions combine numerical evidence with market research, customer understanding and judgement about the wider business context.
✎ EXAMINER TIP
Students often calculate the correct answer but then fail to interpret it. Strong answers explain what the result means for the business decision, and remember that correlation does not prove causation.
KEY FORMULAS(s)
Profit and Profitability Formulas
These key formulas help you calculate different profit measures and profitability ratios used in business.
Gross Profit
Gross profit = Revenue − Cost of sales
The profit made after deducting direct costs.
!
Remember: profit shows how much money has been made, while profitability shows how efficiently revenue is being turned into profit.
DATA TABLE
Income Statement for North Coast Coffee Ltd
This statement shows how revenue is converted into gross profit, operating profit and net profit.
Revenue
£250,000
Output
Fixed Costs
Variable Costs
Total Costs
Revenue
Profit / Loss
0 candles £1,200 £0 £1,200 £0 -£1,200
Net profit is the final profit remaining after all costs and expenses have been deducted from revenue.
Correlation and Line of Best Fit
This chart shows how a scatter graph and line of best fit can be used to identify a possible relationship between advertising spending and sales revenue. It also reminds students that correlation does not prove causation.
WORKED EXAMPLE
Worked Example: North Coast Coffee
How many coffees must be sold to break even?
Fixed Costs
£1,800
equity + long-term debt
Break-even output = Fixed costs ÷ Contribution per unit
Contribution per unit = Selling price − Variable cost
£3.50 − £1.10 = £2.40
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Step 1: Calculate contribution
£3.50 − £1.10 = £2.40
Contribution per unit is the amount each coffee contributes towards fixed costs.
BREAK-EVEN OUTPUT:
750 coffees per month
EXAM TIP
Always explain what the number means for the business. Do not just calculate the break-even point.
Marketing Maths Toolkit
This diagram shows the main marketing maths tools students need, including correlation analysis, scatter graphs, percentage change and index numbers. It helps students understand when each method is used and what it tells a business.
APPLICATION
GlowTrail Skincare
"GlowTrail Skincare sells skincare products through its website and social media channels. Managers want to use marketing data more effectively before deciding whether to increase spending on digital advertising.
The business could use correlation analysis by comparing weekly advertising spending with weekly sales revenue. If the scatter graph shows that higher advertising spending is usually linked with higher sales, this may suggest that advertising is helping the business attract customers. A line of best fit could help show the overall pattern more clearly.
However, managers should be careful. A positive correlation between advertising and sales does not prove that advertising caused the sales increase. Sales may also have been affected by discounts, influencer posts, seasonal demand, customer reviews or competitor activity.
GlowTrail could also calculate percentage change to measure performance. For example, if monthly sales increased from £80,000 to £100,000, the business could calculate a 25% increase. This helps managers judge whether growth is significant.
Index numbers could also help GlowTrail compare sales over several months. If January is set as the base month at 100, later months can be shown as index numbers. This makes it easier to see whether sales are rising, falling or staying broadly stable over time.
This example shows why marketing maths is useful. It helps managers spot patterns and measure change, but the figures still need to be interpreted carefully before making decisions."
This independent educational case study is not affiliated with, endorsed by or sponsored by Greggs plc. Any financial figures used alongside this example should be treated as simplified or hypothetical estimates created for teaching purposes.
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ANALYSIS
EXAM FOCUS
Analysis questions require you to examine a business concept or issue in detail, breaking it down into its component parts. You should explain how and why something happens and consider its impact on the business.
How to Approach Analysis Questions
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Identify the key issue or concept
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Break it down
3
Explain how and why
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Reach a reasoned conclusion
Read the question carefully and highlight the focus of the analysis.
Consider the different factors, causes or impacts related to the issue.
Provide clear explanations using business terms and links points to context.
Evaluate the overall implications for the business.
Example Analysis Question
North Coast Coffee is considering using break-even analysis before opening a second café.
Advantages
• Sales forecasts may be inaccurate.
• Assumes costs and revenue remain constant.
• External factors may reduce reliability.
• Ignores qualitative business factors.
Disadvantages
• Sales forecasts may be inaccurate.
• Assumes costs and revenue remain constant.
• External factors may reduce reliability.
• Ignores qualitative business factors.
Key Exam Tip
If you find it difficult to expand your answer and show the type of depth that an examiner is looking for in a top response, consider using the 'so what' approach.
Tesco carry out market research - so what? - this allows them to better understand customer needs - so what? as a result Tesco can provide goods more likely to sell - so what? - this will increase Tesco profit and ensure higher levels of customer satisfaction - so what? this means that customers are likely to become more loyal to Tesco.
Avoid These Exam Traps
Students often lose marks on calculation and analysis questions by making these mistakes. Watch out for them in your exam!
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Helvetica Light is an easy-to-read font, with tall and narrow letters, that works well on almost every site.
Tip:
Helvetica Light is an easy-to-read font, with tall and narrow letters, that works well on almost every site.
2
Helvetica Light is an easy-to-read font, with tall and narrow letters, that works well on almost every site.
Helvetica Light is an easy-to-read font, with tall and narrow letters, that works well on almost every site.
Tip:
Helvetica Light is an easy-to-read font, with tall and narrow letters, that works well on almost every site.
3
Helvetica Light is an easy-to-read font, with tall and narrow letters, that works well on almost every site.
Helvetica Light is an easy-to-read font, with tall and narrow letters, that works well on almost every site.
Tip:
Helvetica Light is an easy-to-read font, with tall and narrow letters, that works well on almost every site.
Be precise. Read the question carefully. Show your working.
Small mistakes can cost big marks.
EXAM PRACTICE
Practice Question
Apply your knowledge of profit and profitability to answer this exam-style question.
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MINI CASE STUDY
North Coast Coffee Ltd is a premium coffee business which sells freshly roasted coffee beans through its online store and a small chain of independent cafés. The business has experienced strong sales growth due to increasing demand for high-quality speciality coffee products.
The business generates annual revenue of £250,000. Its cost of sales, including coffee beans, packaging and direct production costs, totals £100,000. North Coast Coffee Ltd also faces operating expenses of £80,000, including marketing, employee wages, rent and administration costs. In addition, the business pays £20,000 in interest and taxation each year.
The owner, Mia Thompson, is reviewing the company’s profitability because rising wage costs and increased competition in the premium coffee market have started to place pressure on operating profit margins. She is considering increasing prices slightly in order to protect profitability while still maintaining customer demand.
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EXAM QUESTION
Analyse the possible reasons for BrightBite’s falling profit margins and evaluate strategies it could use to improve profitability.
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HOW TO ANSWER
P
Point
E
Explain
A
Apply
C
Consequence
H
However...
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MODEL ANSWER
P
Point
Increasing prices could improve the profitability of North Coast Coffee Ltd because each sale would generate a larger amount of revenue and potentially increase profit margins.
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EXAMINER TIP
For full marks, make sure you analyse causes rather than just listing them, and evaluate realistic strategies with clear judgement. THINK: Which strategy would have the biggest impact and why?
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