The term ‘average’ refers to the ‘middle’ or ‘central’ point. When used in mathematics, the term refers to a number that is a typical representation of a group of numbers (or data set). Averages can be calculated in different ways – this page covers the mean, median and mode. We include an averages calculator, and an explanation and examples of each type of average.

The ‘mean’ or ‘arithmetic mean’ is the most commonly used form of average. To calculate the mean, you need a set of related numbers (or data set). At least two numbers are needed in order to calculate the mean.We can also use averages to give us a clue of likely future events – if we know that we made £17.50 a day on average selling lemonade in a week then we can assume that in a month we would make:We could record average sales figures each month to help us predict sales for future months and years and also to compare our performance. We could use terms like ‘above average’ – to refer to a time period when sales were more than the average amount and likewise ‘below average’ when sales were less than the average amount.This eBook covers the basics of data handling, data visualisation, basic statistical analysis and algebra. The book contains plenty of worked examples to improve understanding as well as real-world examples to show you how these concepts are useful.

The use of material found at skillsyouneed.com is free provided that copyright is acknowledged and a reference or link is included to the page/s where the information was found. Material from skillsyouneed.com may not be sold, or published for profit in any form without express written permission from skillsyouneed.com.1,3,3,4,4,5 – for example, has two most frequently occurring numbers (3 & 4) this is known as a bimodal set. Data sets with more than two modes are referred to as multi-modal data sets.

A cocktail is made from mixing pineapple juice, orange juice, and sparkling water in the ratio 300ml:700ml:0.5l. How much of each quantity would be needed to make 6l of cocktail?Make sure that all the units in the ratio are the same. For example, in example 6 , all the units in the ratio were in millilitres. We did not mix ml and l in the ratio. 2. A company made £72000 profit. It divides the profit between its employees (E) and its shareholders (S). The shareholders receive 55\% of the profit. Calculate how much money the employees receive, giving your answer as a ratio in the form E:S. These questions can get quite wordy as they can apply directly to real life problems, usually involving money or food. This means that it is likely that you will have to draw out the relevant information from the question. You can also expect your answers to be integers (whole numbers), decimals, fractions or mixed numbers.A bag of sweets contains 600 sweets. The sweets were divided between boys and girls in the ratio 1:2. If there are 25 girls, how many sweets did each girl receive?

The example above shows the use of bar modelling in how to share a quantity in a given ratio. Let’s have a look at another example using a three part ratio.2. A company made \\( \u00a372000 \\) profit. It divides the profit between its employees \\( (E) \\) and its shareholders \\( (S). \\) The shareholders receive \\( 55\\% \\) of the profit. Calculate how much money the employees receive, giving your answer as a ratio in the form \\( E:S. \\)

5. Air is made up of nitrogen, oxygen, and other gases in the ratio \\( 78:21:1. \\) A \\( 5l \\) balloon is filled with air. How much oxygen is in the balloon?

Wherever possible, we use trackable shipping services to ensure your order reaches you quickly and securely. We aim to ship within two working days of receiving your order, normally within one day, provided the order is received before 12pm.\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014We understand that life happens and you may have to cancel your place(s), however we would appreciate as much notice as possible. If a substitute can attend in your place, no cancellation or admin charges will apply.

Give out cards with words on and ask people to form a group using the words. Could be fruits, veg, films, characters, anything. For pairs could be Fish and Chips etc.The two values above – flow and density – are directly linked to the average travel speed. These three are called the fundamental characteristics of a traffic flow, and the following formula links them. Traffic density is a second fundamental characteristic of any road. It tells you how significant is the congestion of cars on the road. If the density reaches its maximum, the flow drops to zero, forming a traffic jam. The flow is equal to zero in two cases – either when there is no traffic (no cars present on the road) or when all vehicles are stuck in a traffic jam and cannot move forward.

3. In the Paste Special dialog box, click All option in the Paste section, select the Divide option in the Operation section, and finally click the OK button.Note: If you want to create formulas as well, please check Create formulas option. If the selected cells include formulas, and you don’t want to divide the calculated results of the formula, please check Skip formula cells option.Sometimes, we may need to modify a range of cells in Excel quickly. For example, I have a range of cells which containing the prices of a group of products, and I want to divide all the prices by 2, and now here comes the question, how can I quickly divide a range of cells by a number? 3. In the Operation Tools dialog box, select Division in the Operation box, input the divisor number such as 15 in the Operand box. And you can see the results from the Preview Pane. And finally click the OK or Apply button. See screenshot: 3. Then click button to run the code. In a popping up dialog box, please select the range with numbers you want to divide by a certain number, and then click the OK button. See screenshot:

The term motorcade was coined by Lyle Abbot (in 1912 or 1913 when he was automobile editor of the Arizona Republican), and is formed after cavalcade, playing off of the last syllable in that word. The original suffix in cavalcade is actually “-ade”, and there is no “-cade” in either French or Latin. -cade has since become a productive suffix in English, leading to the alternative names carcade, autocade, and even Hoovercade (after J. Edgar Hoover) as a suffix meaning “procession”. Eric Partridge called the name a “monstrosity”, and Lancelot Hogben considered the word to be a “counterfeit coinage”.Motorcade routes are coordinated and selected by Secret Service agents in cooperation with local police forces or US military in war-torn countries, For example when the president visited troops in Afghanistan, US military troops provided security to the motorcade. Escape routes are also established in the event of an emergency.

You can use a calculator to perform division calculations, especially when you are dividing larger numbers that are more difficult to work out in your head. However, it is important to understand how to perform division calculations manually. This is helpful when you don’t have a calculator to hand, but is also essential for making sure that you use the calculator correctly and don’t make mistakes. Division can look daunting but in fact, as with most arithmetic, it is logical.We now divide 30 by 5 (or find out how many times 5 goes into 30). Using our multiplication table we can see the answer is exactly 6, with no remainder. 5 × 6 = 30. We write 6 in the units column of our answer. Next the recipe calls for 1tsp (teaspoon) of vanilla extract. We need to divide one teaspoon by 3. We know that division can be written as a fraction, so 1 ÷ 3 is the same as ⅓ (one third). You’ll need ⅓ of a teaspoon of vanilla extract – although in reality it may be difficult to accurately measure ⅓ of a teaspoon! We can enter 9 in the tens column as our answer for the second part of the calculation and bring our remainder in front of our last number in the units column. Our last number becomes 30.

We can estimate the answer, to check that we are correct. Three lots of 1.5 ml gives us 4.5 ml. So three lots of ‘a tiny bit more than 1.5 ml’, gives us around 5ml. Recipes are rarely an exact science, so a little bit of estimating can be fun and good practice for our mental arithmetic. We can look at this another way, if we know that one teaspoon is the same as 5ml or 5 millilitres. (If you need some help with units, see our page on Systems of Measurement.) If we want to be more accurate, we can try dividing 5ml by 3. 3 goes into 5 once (3) with 2 left over. 2 ÷ 3 is the same as ⅔, so 5ml divided by 3 gives us 1⅔ml, which in decimals is 1.666ml. We can use our estimating skills and say that one teaspoon divided by three is a tiny bit more than one and a half ml. If you have some of those tiny measuring spoons in your kitchen, you can be super-accurate! We already know that 1 ÷ 3 is ⅓ and 2 ÷ 3 is ⅔. We will therefore need ⅓–⅔ of a tablespoon of milk to make eight fairy cakes. Let’s look at this another way. One tablespoon is the same as 15ml. 15 ÷ 3 = 5, so ⅓–⅔ of a tablespoon is the same as 5–10ml, which is the same as 1–2 teaspoons!

The number we are dividing by (in this case 5) needs to go into the number we are dividing into (in this case 4) a whole number of times. It doesn’t have to be an exact whole number, as you will see.The amount of butter, sugar and flour are all the same, 120g. It is therefore only necessary to work out 120 ÷ 3 once, as the answer will be the same for those three ingredients.