{"id":460,"date":"2021-06-05T10:46:26","date_gmt":"2021-06-05T10:46:26","guid":{"rendered":"https:\/\/mytutorsource.ae\/blog\/?p=460"},"modified":"2021-06-05T10:48:40","modified_gmt":"2021-06-05T10:48:40","slug":"mathematical-functions-mean-median-mode-and-range","status":"publish","type":"post","link":"https:\/\/mytutorsource.ae\/blog\/mathematical-functions-mean-median-mode-and-range\/","title":{"rendered":"Understanding Mathematical functions – Mean, Median, Mode, and Range"},"content":{"rendered":"\n

Maths – a nightmare that makes everyone\u2019s head spin.<\/em><\/p>\n\n\n\n

Well, math doesn\u2019t have to be so difficult, if explained right. And that is exactly what we\u2019re here for. It\u2019s impossible to not talk about Mean, Median, Mode, and Range when talking about Maths and Statistics.<\/p>\n\n\n\n

So, what actually are mean, median, mode, range? They\u2019re the measures of central tendency and each one of them is a try to flawlessly capture how a typical number or entry in a typical data set may look like. Before we delve deeper about them and how they to calculate them, let’s take it back a bit and start from the basics:<\/p>\n\n\n\n

What is Central Tendency?<\/h1>\n\n\n\n

Central tendency is the statistical measure that is used to identify a single value to act as the representative of an entire distribution. The purpose of central tendency is to offer an accurate representation of an entire set of data. Some people also use the word \u201cnumber crunching\u201d to describe this aspect of data description. The mean, median, mode, and range are some of the typically used measures of central tendency.<\/p>\n\n\n\n

Measures of Central Tendency<\/h1>\n\n\n\n

Now, let\u2019s talk about the real deal!<\/em><\/p>\n\n\n\n

We define a measure of central tendency<\/a> as a single value that is used to explain a set of data by locating the central position within the said set of data. As such, these measures of central tendency are also often known as measures of a central location. You may only be familiar with the mean (often known as the average), however, there are others as well.<\/p>\n\n\n\n

The mean, median, mode, and range are all legitimate measures of central tendency. However, under different circumstances, one measure of central tendency can be more appropriate to use as compared to the others. Now that we know what central tendency is, let\u2019s study the measures:<\/p>\n\n\n\n

Mean (Arithmetic Mean)<\/h2>\n\n\n\n

Mean is the most commonly used (and the one most people are familiar with) measure of central tendency. Arithmetic mean is nothing but the average of the values given in a set of data. But that isn\u2019t all, there are so many other types of mean, e.g. harmonic mean (HM), weighted mean, and geometric mean (GM). But if mean is mentioned without a preceding adjective (as mean), it usually means the arithmetic mean.<\/p>\n\n\n\n

How to Find the Mean?<\/h3>\n\n\n\n

Add all the numbers given in the data set under observation. Divide the sum of all the numbers by the total number of values given in that set.<\/p>\n\n\n\n

For example, let’s look at a random set of numbers. The values are 16, 14, 12, and 18. To find the mean of these values, you first need to add all four of them together: <\/p>\n\n\n\n

16 + 14 + 12 + 18 = 60<\/p>\n\n\n\n

Now you need to divide them by the number of values. Since there are four values, you would divide the sum by 4:<\/p>\n\n\n\n

60 \u00f7 4 = 15<\/p>\n\n\n\n

So, the mean of your data set will be 15. And there you\u2019ve the true average of your data set.<\/p>\n\n\n\n

Pros<\/h3>\n\n\n\n