# What is the mode, median and mean of 5, 27, 29, 13, 18, 19, 15, 19, 19, 27, 15, 22, 13, 26, 20?

##### 2 Answers

Mean

Median

Mode

#### Explanation:

The Mean is the arithmetic average,

The Median is

or the PLACE value equidistant (numerically) from the range extremes in an ordered set.

This set contains

So the middle place is

The number at that location is 19.

The Mode is the most common value(s) in a set. In this case it is

The closeness of all three of these measures means that the data is 'normally distributed'.

Mode =

Median =

Mean =

#### Explanation:

A good starting place is to arrange the given values in order:

If you were asked the range. (which is not done in this case), it is now a simple matter to find the difference between the biggest and smallest values:

Range =

The MODE is the value with the highest frequency, the one that occurs the MOST often.

Because the values are all in order, we can see that

Mode =

The MEDIAN is the value exactly in the middle of a set of values arranged in order:

There are

So count

To find the MEAN (better known as the "average")

Add all the values together and divide by how many there are:

Remember that the mode, median and mean are ALL types of averages, they just give different information.