Everyday maths for Health and Social Care and Education Support 2
Everyday maths for Health and Social Care and Education Support 2

Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.

Free course

Everyday maths for Health and Social Care and Education Support 2

6.6 Median

The last type of average you will look at briefly is called the median. Put very simply, the median is the middle number in a set of data. The only thing you need to remember is to put the numbers in size order, smallest to largest, before you begin. As this is such a simple process let’s just look at two examples.

Example: Finding the median 1

Find the median of this data set:

Method

  • 5, 10, 8, 12, 4, 7, 10

Firstly, order the numbers from smallest to largest:

  • 4, 5, 7, 8, 10, 10, 12

Now, find the number that is in the middle:

  • 4, 5, 7, 8, 10, 10, 12

8 is the number in the middle, so the median is 8.

Example: Finding the median 2

Find the median of this data set:

Method

  • 24, 30, 28, 40, 35, 20, 49, 38

Again, you firstly need to order the numbers:

  • 20, 24, 28, 30, 35, 38, 40, 49

And then find the one in the middle:

  • 20, 24, 28, 30, 35, 38, 40, 49

In this example there are actually two numbers that are in the middle, you therefore find the middle of these two numbers by adding them together and then halving the answer:

  • (30 + 35) ÷ 2 = 32.5

The median for this set of data is 32.5.

If you want to see some more examples, or try some for yourself, use the link below:

Well done! You have now learned all you need to know about mean, median and range. The final part of this section, before the end-of-session quiz, looks at probability.

Summary

In this section you have learned:

  • that there are different types of averages that can be used when working with a set of data – range, mean, median and mode

  • range is the difference between the largest data value and the smallest data value and is useful for comparing how consistently someone or something performs

  • mean is what is commonly referred to when talking about the average of a data set

  • how to find the mean from both a single data set and also a set of grouped data

  • formulas and inverse operations to calculate missing data when given the mean of a data set

  • what the median of a data set is and how to find it for a given set of data.

FSM_SSH_2

Take your learning further

Making the decision to study can be a big step, which is why you'll want a trusted University. The Open University has 50 years’ experience delivering flexible learning and 170,000 students are studying with us right now. Take a look at all Open University courses.

If you are new to University-level study, we offer two introductory routes to our qualifications. You could either choose to start with an Access module, or a module which allows you to count your previous learning towards an Open University qualification. Read our guide on Where to take your learning next for more information.

Not ready for formal University study? Then browse over 1000 free courses on OpenLearn and sign up to our newsletter to hear about new free courses as they are released.

Every year, thousands of students decide to study with The Open University. With over 120 qualifications, we’ve got the right course for you.

Request an Open University prospectus371