Maths calculators
Three calculators in one - average and mean, fractions, and long division. All explained in plain English so you understand the answer, not just get it.
The mean is useful but can be misleading when there are extreme values. If nine people earn £30,000 and one person earns £1,000,000, the mean salary is £127,000 - which tells you nothing useful about typical earnings. This is why property price data often uses the median instead, which is the middle value when all numbers are sorted in order.
Fractions show up in personal finance more than you might think. Mortgage rates are often expressed as fractions of a percent. Stamp duty applies to fractions of the purchase price. ISA contributions are a fraction of your income. Once you are comfortable with fractions, a lot of financial maths becomes much easier to follow.
Long division is one of those things that seems complicated but follows a simple repeating pattern: divide, multiply, subtract, bring down. Once that loop clicks, any division problem becomes manageable. In real life you will usually use a calculator - but understanding the process helps you sense-check answers and spot when something has gone wrong.
Please note: These calculators are for educational and general mathematical purposes. Results are rounded to a reasonable number of decimal places. For financial calculations involving these operations, always verify critical figures with appropriate tools or a qualified adviser.
Calculator results are estimates based on the information you enter and the assumptions built into the tool. They are illustrative only and should not be relied upon as accurate projections. Rates, thresholds and rules change regularly; always verify figures with an appropriate professional or official source before acting on them.
What does the average calculator do?
The average calculator finds the mean (sum divided by the count), median (the middle value when sorted), and mode (the most frequently occurring value) of any set of numbers. It also identifies which average is most appropriate for different contexts.
Which average to use in financial contexts
Mean: Best for summing up typical values in a roughly symmetrical distribution – average monthly spending, average investment return over a period.
Median: Best when the distribution is skewed by outliers – average house price (a few very expensive properties pull the mean up; the median better represents the typical property), average salary (top earners pull the mean significantly above what most people earn).
Mode: Best for identifying the most common value – the most common house price in a street, the most common outcome in a distribution.
The information on this site is for educational and informational purposes only. Nothing on Be More Peter constitutes financial advice, and nothing should be treated as such. The calculators, articles and tools on this site are designed to help you understand financial concepts and run indicative numbers - they are not a substitute for professional advice tailored to your specific circumstances. Before making any financial decision - including decisions about mortgages, pensions, investments, savings or insurance — you should seek independent financial advice from a qualified adviser who is authorised and regulated by the Financial Conduct Authority (FCA). Calculator results are estimates based on the information you enter and the assumptions built into the tool. They are illustrative only and should not be relied upon as accurate projections. Rates, thresholds and rules change regularly - always verify figures with an appropriate professional or official source before acting on them. Be More Peter is not authorised or regulated by the FCA. The content on this site does not constitute a financial promotion.