FS Maths Mean and Range

FS Maths Mean and Range

Mean

To calculate the mean average of this data set: 

5, 7, 8, 2, 1

We would start by adding up all the pieces of data:

5 + 7 + 8 + 2 + 1 = 23

Then, we divide by how many pieces of data there are.

We have 5 pieces of data.

23 ÷ 5 = 4.6

The mean average is 4.6

Task 1 a

Calculate the mean average for this data sets, leaving your answer correct to one decimal place where appropriate

3, 4, 5, 6, 7, 8, 9, 10, 13

3+4+5+6+7+8+9+10+13= 65

65÷9=7.2

Task 1 b

Calculate the mean average for this data sets, leaving your answer correct to one decimal place where appropriate

11, 12, 13, 15, 18, 20

11+12+13+15+18+20 = 89

89÷6=14.8

Task 1 c

Calculate the mean average for this data sets, leaving your answer correct to one decimal place where appropriate

5, 4, 1, 9, 8

5+4+1+9+8=27

27÷5=5.4

Task 1 d

Calculate the mean average for this data sets, leaving your answer correct to one decimal place where appropriate

11, 21, 5, 9

11+21+5+9 = 46

46÷4 = 11.5

Multiple Choice

There are wages a small company pays to its employees each week in pounds:

293, 320, 311, 325, 195, 200.

Calculate the mean average wage of an employe at the company.

• 1600

• 274

• 1644

• 276

Multiple Choice

Here are some results from a science experiment.

2.5, 3.1, 2.7, 5.0, 3.1, 2.6, 5.8, 3.6

Calculate the mean average result. Give your answer rounded to one decimal place.

• 28.4

• 3.55

• 3.5

• 3.6

Task 3

Here are some results from a science experiment.

2.5, 3.1, 2.7, 5.0, 3.1, 2.6, 5.8, 3.6

Calculate the mean average result. Give your answer rounded to one decimal place.

Multiple Choice

Task 4)

The times below (in minutes) were spent playing on a games console. Calculate the mean average time. Give your answer in minutes and seconds.

52, 28, 90, 32, 40

• 48 minutes and 4 seconds

• 48 minutes and 40 seconds

• 48 minutes and 24 seconds

• None of these answers

Multiple Choice

Task 4)

Carrie and Kelsey play darts. Their scores for the last 6 rounds are recorded. Who has the higher mean average score?

Carrie: 100, 50, 25, 57, 41, 80

Kelsey: 53, 100, 20, 80, 40, 62

• Carrie

• Kelsey

The Range

Find the range in this set of data:

3, 5, 7, 9, 2, 6

It helps to put the numbers in order of size first, starting with the smallest:

2, 3, 5, 6, 7, 9

Now, select the highest and lowest numbers and find the difference between them. 

9 − 2 = 7

The range is 7

The Range (negative numbers in a set)

The set of data may contain negative numbers too: 

5, −3, 4, 2, −1, 8

Order from the smallest:

−3, −1, 2, 4, 5, 8

Subtract the smallest number from the highest:

Remember, two minus signs next to each other make a plus. 

8 − −3 = 8 + 3 = 11

You can use a vertical number line to help you with negative numbers task.

Task 6 a

Calculate the range:

5, 7, 2, 5, 4, 9, 3

Order from the smallest:

2, 3, 4, 5, 5, 7, 9

Calculation:

9 - 2 = 7

Task 6 b

Calculate the range:

12, 4, 5, 0, 1, 6, 2

Order from the smallest:

0, 1, 2, 4, 5, 6, 12

Calculation:

12 - 0 = 12

Task 6 c

Calculate the range:

5, −2, 7, 4, −6

Order from the smallest:

−6, −2, 4, 5, 7

Calculation:

7 - - 6 = 7 + 6 = 13

Task 6 d

Calculate the range:

−3, −1, −5, −2, −8

Order from the smallest:

−8, −5, −3, −2, −1

Calculation:

-1 - -8 = - 1 +8 = 7

Poll

Calculate the mean average of a list of numbers

• R (I don't understand)

• A (I understand some of it and I need more practice

• G (I understand very well)

Poll

Calculate the range of data set

• R (I don't understand)

• A (I understand some of this and I need more practice)

• G (I understand very well)

Poll

Effort and engagement

• R (I did not try)

• A (I should try better; I was not fully engaged)

• G (I tried very hard)