What does mean median and mode refer to in mathematics?

Answer 1

They are different types of averages. Mean is the actual average, median is the middle number in a set of data, and the mode is the most repeated number in a set of data(there can be more than one).

Answer 2

You have received many technically correct answers here but most miss at least one major point.

The mean is what most people are referring to when they say 'average.' It is calculated by adding the numbers and dividing by 'how many numbers there are.' It gives you the literal 'balance point' of a distribution. If each number was a one-ounce weight on a number line, the mean would be the point where you would put the fulcrum to balance it perfectly.

Another way to think about the mean is this: If you had, say 5 numbers in your list, you could think of them as the amount of something each of 5 people had. If you were to redistiribute the wealth so each person had the same amount, the mean is what each one would have.

The median is, as several people have pointed out, the middle number in the list. But the point of the median, the thing that makes it important, is that it divides the list exactly in half. Half the numbers are above it and half are below it.

The mode is not really in the same class as mean and median as a measure of anything. It's more descriptive. It tells where the peak of a distribution occurs. If a distribution has two peaks, the distribution is called 'bimodal' meaning it has two modes. These peaks don't have to be the same height, so really the mode is not necessarily just the most frequent number. It is really the highest point in any peak in the distribution.

Answer 3

This is easily answered if we have a set of numbers to work with. So, let's assume you want to find the mean, median, and mode for "1,4,2,3,4,5,7,5,5"
Mean is where you take the sum of all the numbers and divide by how many numbers are in the set. So for our set, the mean is 4 because 1+4+2+3+4+5+7+5+5=36 and 36/9=4.2
Median is the number that is in the middle where the numbers are placed in sequential order. So for our set, the median is 4 because 4 is the middle number (1,2,3,4,4,5,5,5,7).
Mode is the number that appears the most in the set. So for our set, the mode is 5 because 5 appears the most.

Answer 4

Given a set of data, the mean is the average of all the numbers. The median is the middle number in the set. The mode is most common number that appears the most times in the set.

Eg. Given 1, 1, 3, 6, 9
Mean = 4
Median = 3
Mode = 1

Answer 5

The median is the middle value when a set of numbers are sorted in order. Note that if there are an even number of values, the convention is to add the two values closest to the middle together and divide by 2.

The mode is the value which occurrs most frequently. Note that there may be more than one mode in a data set (when the two or more most frequent values occur the same number of times).

Answer 6

The "mean," "median," and "mode" are called "Measures of Central Tendency".

This means that these three are different methods of finding the "center" of a given "set of values".

For example.

We are given a set of values A
A = {1, 4, 4, 5, 8, 10, 10, 10, 11}

The "mean" is simply the average.
Thus, the mean of set A is 7.

The "median" is the middlemost element of the set.
Thus, the median of set A is 8.

The "mode" is the element occurring most frequently in the set.
Thus, the mode of set A is 10.

As you can see, these three tries to find the center of a given set of values.

It depends on the set which "measure of central tendency" is the most accurate.

Hope this helps.
^_^

Answer 7

In a group of numbers, the MEDIAN is the middle or close to middle number. The MODE is the most common answer.

For example take this set of numbers 1,2,3,4,4,4,5,6,7,10,12,15,20
The MODE is 4 because there are the most 4s. The MEDIAN is 5 because it's in the 7th entry in the list with 6 entries on either side.

Answer 8

When you are given a set of data (such as test scores, height, weight, etc.) the median is the middle value when the data values are ordered from least to greatest, and the mode is the value that comes up the most.

Answer 9

Mean, median and mode are all a type of average, or a measure of central tendency used to summarize data with statistics. Summaries of data may tell you what's typical in the set of data, how much variation there is in the data, or where your favorite bit of data fits in with the whole set.
Mean-the average-useful when all the data are close to each other-no very high or very low numbers.
Median-the exact middle value-useful for data sets with a couple of points much higher or lower than most of the others.
Mode-the value that occurs most often-useful for sets of data with many identical data points

Answer 10

Mean refers to a chronically hostile attitude. Median is the grassy center area between opposite lanes on a major highway. Mode means served with ice cream. Hope that helps!