DeepMaths / Fun Maths

Fun Maths Book 2 Online Learning Programme

For Year 4 and Year 5

Chapter 8: Data, Graphs, Averages, and Probability

Data, Graphs, Averages and Probability

Read data from charts carefully, calculate averages, and describe chance with clear words.

Fun Maths Book 2 pages 104-1115 minutes

AI teacher

Press Start to hear a short classroom-style explanation. If sound is unavailable, the full script is shown below.

Voice: Browser voice

Workbook pages

Fun Maths Book 2 pages 104-111

Read bar charts, pie charts, line graphs, averages, range and probability.

AI explanation

The AI teacher turns a frequency table into a bar chart, then uses the same data to find mean, median, mode and range. Probability is shown with spinners and bags so students compare possible outcomes.

  1. 1A graph must have a clear scale.
  2. 2The mean is found by adding all values and dividing by how many values there are.
  3. 3The median is the middle value after sorting.
  4. 4Probability describes how likely an event is.

Think with the AI teacher

Today we will become data detectives. We will read graphs carefully, summarise data and describe chance.

Question 1

Pause 4s

Before reading a bar chart, what should we check first?

After thinking

We check the scale.

Exactly. The scale tells us what each step is worth.

Question 2

Pause 5s

Why must we sort data before finding the median?

After thinking

The median is the middle value after the data is in order.

Great. Order matters for the median.

Question 3

Pause 4s

If a bag has 9 blue counters and 1 red counter, is blue certain or likely?

After thinking

Blue is likely, but not certain, because red could still be chosen.

Excellent probability language.

Deep structure

What children discover

Children discover that data must be organised before it can be interpreted, and probability describes likelihood rather than guarantees.

Common mistake

Children may ignore graph scales or find the median before ordering the data.

Future connection

Data and probability prepare students for grouped data, histograms, distributions, sampling and statistical reasoning.

Grouped dataHistogramsProbability treesStatistics

Animated demonstration

See the maths move

A frequency table grows into a bar chart, data cards reorder for the median, and a spinner highlights likely and unlikely outcomes.

A frequency table turns into a bar chart, data cards reorder for the median, and a spinner shows likely and unlikely outcomes.
ABCD

Mean

add then divide

Median

middle after sorting

Mode

most common

Range

largest minus smallest

Guided examples

Mean

Find the mean of 5, 7, 8, 10.

  1. 1.Add the numbers: 5 + 7 + 8 + 10 = 30.
  2. 2.There are 4 numbers.
  3. 3.Divide 30 by 4.
Answer: 7.5

Range

Find the range of 12, 3, 9, 15, 7.

  1. 1.Find the largest value: 15.
  2. 2.Find the smallest value: 3.
  3. 3.Subtract: 15 - 3.
Answer: 12

Interactive practice

Try it now

For each graph, read the title and scale before answering any question.

0/3 correct

What must you check before reading a bar chart?

Find the mode of 2, 5, 5, 8, 9.

A bag has 9 blue counters and 1 red counter. Blue is...

Review

Before workbook practice, explain the difference between mean and range.

Explain the difference between mean, median, mode and range using one small data set.

Parent signal

Check that the child sorts data before finding the median and reads graph scales accurately.

Excellent detective work. Data tells a story when we read it carefully.