MYTUTOR SUBJECT ANSWERS

506 views

What's the difference between the mean, median and mode?

The mean, median and mode are three types of averages which you will be asked about in your GCSE maths exam.

The best way to learn maths is by by doing it or at least running through examples.

E.g. Given the following numbers work out the mean, mode and median:

1, 2, 3, 4, 5, 5, 8

Mean: To calculate the mean you add up all the numbers and divide them by how many numbers there are in the sequence.

So here: Mean = (1+2+3+4+5+5+8) / 7 = 4

Here there are 7 numbers so as shown above we divide the total of the numbers by 7. 

Mode: To find the mode we simply find the number which appears the most times in sequence. So here the answer is 5 as it appears twice whereas all the other numbers only appear one time.

Median: To find the median we find the number which occurs in the middle of the sequence:

1, 2, 3, 4, 5, 5, 8  Here the answer is 4. This is because there are seven numbers in the sequence and 4 is the number which occurs in the middle.

A harder example:

1, 2, 3, 4, 5, 5, 8, 9

Here there are eight numbers in the sequence. So there is no single middle value. Here the two middle values are 4 and 5. So to calculate the median when this occurs (when there is an even amount of numbers in sequence), we find the number in between the two middle values. So the number in between 4 and 5 is 4.5 and this is our answer.

Thomas K. IB Economics tutor, A Level Economics tutor, GCSE Economics...

1 year ago

Answered by Thomas, who has applied to tutor GCSE Maths with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

452 SUBJECT SPECIALISTS

£30 /hr

Szymon K.

Degree: Mechanical Engineering (Masters) - Manchester University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“About me: I am a student pursuing my degree in Mechanical Engineering at the University of Manchester. Ever since I can remember I have always been passionate about passing my knowledge to others. As a tutor I taught people of differen...”

£22 /hr

Runzhi C.

Degree: Medicine (Bachelors) - Imperial College London University

Subjects offered:Maths, Chemistry+ 3 more

Maths
Chemistry
Biology
-Personal Statements-
-Medical School Preparation-

“Hi there, I am a first year medical student at Imperial College London and I have lived in the UK all my life. I enjoy studying medicine because it encompasses both scientific knowledge and social aspects. I am relatively new to tutor...”

£20 /hr

Ellen H.

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered:Maths, English Literature+ 2 more

Maths
English Literature
Drama

“Hello! My name is Ellen, and I'm a Maths student at the University of Bristol. I'm here to help, so just send me a message!”

About the author

£18 /hr

Thomas K.

Degree: Philosophy, Politics, Economics (Bachelors) - Oxford, St Anne's College University

Subjects offered:Maths, History+ 3 more

Maths
History
Government and Politics
Economics
.TSA. Oxford.

“About me:I am from London and currently in my first year at Oxford studying Philosophy, Politics and Economics. I have always been fascinated in current affairs which lead to me becoming interested in the social sciences as an academ...”

MyTutor guarantee

You may also like...

Posts by Thomas

What is the basic economic problem?

What's the difference between the mean, median and mode?

Other GCSE Maths questions

How do I solve the quadratic equation x^2+4x+3=0

What is the difference between a parametric equation and a general equation?

Solve the simultaneous equations: 3x +4y = 18, and 5x - 2y = 4

Solve this inequality 4y - 3 ≥ 5

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok