##### Asked by: Pelayo Zhaboev

asked in category: General Last Updated: 2nd June, 2020# What is an extreme value in a data set?

**Extreme value**

**values**are the smallest (minimum

**value**) or largest (maximum

**value**), and are known as

**extreme values**. For example, the body size of the smallest and tallest people would represent the

**extreme values**for the height characteristic of people.

Click to see full answer.

Also, what is the extreme value?

An **extreme value**, or extremum (plural extrema), is the smallest (minimum) or largest (maximum) **value** of a function, either in an arbitrarily small neighborhood of a point in the function's domain — in which case it is called a relative or local extremum — or on a given set contained in the domain (perhaps all of it) —

Also, how mean is affected by extreme values? An **extreme value** can **affect** the **value** of the **median** only if it is really large. An **extreme value** will not **affect** the **value** of the **median** any more than other **values**. **Extreme values** can influence the **median** in the same way as the **mean**. No **values**, **extreme** or otherwise, can **affect** the **value** of the **median**.

Similarly one may ask, what are the extremes of the data?

The lower and upper **extremes** are easier to identify. The lower **extreme** is the least value in the **data** set and the upper **extreme** is the greatest value. These two values can therefore be found directly from an ordered set of **data**.

What are extreme points of a function?

The maximum value of the **function** f (x) = cos x is y = 1: **Extreme points**, also called extrema, are places where a **function** takes on an **extreme** value—that is, a value that is especially small or especially large in comparison to other nearby values of the **function**.