Homework Help

What Is The Difference Between A Median, A Mean, And A Mode?

user profile pic

enotes | Valedictorian

Posted October 9, 2011 at 4:00 PM via web

dislike 0 like

What Is The Difference Between A Median, A Mean, And A Mode?

6 Answers | Add Yours

user profile pic

fact-finder | Valedictorian

Posted October 10, 2011 at 4:00 PM (Answer #1)

dislike 0 like

To find the median of a series of numbers, put the numbers in order (either smallest to largest or largest to smallest). Count your way, from either side, to the middle number. For example, if you have the numbers 1, 3, 4, 6, 8, the median value is 4. If the sequence has an even number of numbers, there will be two numbers in the middle. Then the median is found by adding the two middle values and dividing by 2. In this example, the sequence is 1, 3, 4, 5, 6, 8. Here the median is found by taking the average of the two middle values. For example, 4+5=9÷2=4.5.

The mean, also known as the average, is found by adding all the numbers in a sequence and dividing the total by the number of items in the sequence. If we take the first example, 1, 3, 4, 6, 8, the mean is 22 5, which equals 4.4.

If the sequence of numbers includes some values that are much higher or lower than most of the others, the mean loses significance. For example, the mean of the salaries of a professional football team would be skewed if one of the players was a high-earning superstar. That one salary could boost the mean so high that it would cease to be reflective of the majority of the team members' salaries.

Another measure, called the mode, is the number in a sequence that appears most often. In the string 1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, the mode would be two.

Sources: Brennan, Richard P. Dictionary of Scientific Literacy, pp. 199-200; Bush, Grace A. Foundations of Mathematics, pp. 157-61; Hopkins, Nigel J., John W. Mayne, and John R. Hudson. The Numbers You Need, pp. 275-77.

user profile pic

atyourservice | TA , Grade 10 | Valedictorian

Posted April 16, 2014 at 5:43 PM (Answer #2)

dislike 0 like

A Median, A Mean, And A Mode

Median is the middle number in a set

The mean is the average of the set, it is usually found by adding all the numbers and dividing by how many numbers there are.

Mode is the number that appears the most, for example is 1 2 2 3 5 7. 2 is the mode

user profile pic

zumba96 | Student, Grade 11 | Valedictorian

Posted May 16, 2014 at 11:53 PM (Answer #3)

dislike 0 like

A Median: Is the middle number in the set of numbers

A Mean: Is when you add up all the numbers and divide by the numbers in a set

It is the average

A Mode: Is the number that appears the most in a set

user profile pic

crystaltu001 | Student, Grade 10 | Valedictorian

Posted July 2, 2014 at 9:18 AM (Answer #4)

dislike 0 like

The median is always the number that is in the middle in the set of numbers. The mean is when you add up all of the numbers and then divide by how many numbers were in the set. The mode is the number that appears the most in the set of numbers.

user profile pic

ik9744 | TA , Grade 9 | Valedictorian

Posted July 4, 2014 at 2:25 AM (Answer #5)

dislike 0 like

Mean : Add up all of the number then divide the sum by how many numbers you added

Median : The middle number of all of the number

Mode : The number that appears the most.

user profile pic

taangerine | Student, Grade 11 | Valedictorian

Posted July 14, 2014 at 5:07 AM (Answer #6)

dislike 0 like

I remember them like this: 

For mean, it is "WHY ARE YOU SO MEAN": The mean requires you to do the most work as they make you add all the numbers and divide by the total numbers there are.

For median, it is "MEDIAN STREET": In the middle of the street there is always a median cutting the road in the middle. The median is the the middle number of the set. For example, in the numbers "1 2 2 2 3 4 5" , the median is 2. 

For mode, it is "MO"st. The first 2 letters of mode is the same for the first 2 letters in most. The mode is the number that appears the most in the set. For example, in the numbers " 1 2 3 4 4 5 5 5 6 6" , the mode is 5. 

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes