# Problem solving with the Mean

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## Lesson details

### Key learning points

- In this lesson, we will solve different types of problems requiring us to calculate the mean, and problems where we need to determine numbers that have a provided mean value.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 3 Questions

Q1.

What is the mean of the following group of numbers? 2, 2, 4, 6, 6

2

3

4.5

Q2.

What is the mean of the following group of numbers? 0, 0, 1, 1, 2, 2, 5, 5

2.5

3

4

Q3.

A set of 5 numbers is 3, 7, 8, 10, x (where x is a missing number). The mean of these 5 numbers is 6. What is the value of x?

11

30

7

### 3 Questions

Q1.

The mean of these set of numbers 1, 2, 3, 6 is...

2

4

5

Q2.

The number four is added to the set of numbers above. What happens to the mean?

It decreases

It stays the same

More information needed

Q3.

In the first 6 tests he takes, Jake scores a mean of 60 marks. In the final 4 tests, he scores a mean of 70 marks. What is his overall mean?

65

66

70