Math · Unit 7

Data and Graphs

Pictographs, bar charts, tables and simple averages

Statistics begins as the practical question of how to make a pile of numbers say something a person can hold in their head.

The unit covers tally charts and tables, pictographs, bar charts, line and pie charts, and mean, median and mode - three averages that answer different questions and are chosen rather than computed by default.

This unit breaks down into 21 short steps and 120 questions, starting at difficulty 2 and building to 3. Below you can see exactly what it covers, how the path is structured, and worked examples with explanations.

Steps: 21
Questions: 120
Difficulty: 2-3

What this unit covers

Reading and Comparing Data
Mean, Median and Mode
Tables and Tally Charts
Line and Pie Charts
Pictographs and Bar Charts

Where this fits

Pairs with Science's Data, Graphs and Evidence. Probability and Statistics is the advanced continuation.

Where people slip

The mean is dragged around by outliers and the median is not. Which average to report is a judgement about the data, and picking the flattering one is the oldest trick in the subject.

How the unit is structured

Data and Graphs runs as 21 short steps that unlock in order. 15 are practice rounds and 6 are challenge rounds that pull together everything before them. Questions start at difficulty 2 and climb to 3 as you progress.

Step 1 · easierStep 21 · harder

Challenge rounds

Example questions

30 real questions from this unit, with the answer and the reason behind it, grouped by what they practise. There are 120 in the unit altogether.

Line and Pie Charts

Build the sentenceLevel 2
1. Build a true sentence about pie charts.
Answer: A pie chart shows parts of a whole
A pie chart shows parts of a whole as slices of a circle.
Choose all that applyLevel 2
2. Which of these are types of chart or graph? Select all that apply.
- Bar chartcorrect
- Line graphcorrect
- Pie chartcorrect
- Ruler
Bar, line and pie are all charts; a ruler is a measuring tool.
Fill the blankLevel 2
3. A ____ graph is best for showing how something changes over time.
- linecorrect
- pie
- tally
- pictograph
A line graph connects points to show change over time.
Match the pairsLevel 2
4. Match each chart to what it is best for.
Answer: Pie chart = Parts of a whole; Line graph = Change over time; Bar chart = Comparing amounts
Pie charts show parts of a whole, line graphs show change over time, and bar charts compare amounts.
Fact or fibLevel 3
5. A line graph that slopes downward shows a value that is decreasing.
Answer: True
A downward slope means the value is going down over time.
Multiple choiceLevel 3
6. A pie chart of a whole class shows 50 percent like football and 25 percent like tennis. What percent like something else?
- 25 percentcorrect
- 75 percent
- 50 percent
- 15 percent
The whole is 100 percent, so 100 - 50 - 25 = 25 percent like something else.

Mean, Median and Mode

Fact or fibLevel 2
7. The mode is the value that appears most often in a set of data.
Answer: True
Mode means most common, so this is true.
Fill the blankLevel 2
8. The ____ is the value that appears most often.
- modecorrect
- mean
- median
- total
The mode is the most frequent value in the data.
Guess the numberLevel 2
9. Find the mean of 4, 6 and 8.
Answer: 6
Add them: 4 + 6 + 8 = 18, then divide by 3 to get 6.
Match the pairsLevel 2
10. Match each average word to its meaning.
Answer: Mean = Add up and divide; Median = Middle value in order; Mode = Most common value
Mean means add up and divide, median is the middle value in order, and mode is the most common value.
Choose all that applyLevel 3
11. Which statements about the median are true? Select all that apply.
- You must put the numbers in order firstcorrect
- With an even count you average the two middle numberscorrect
- It is always the largest number
- It is a kind of middle valuecorrect
You order the numbers first and average the two middle ones for an even count; it is a middle value, not always the largest.
Multiple choiceLevel 3
12. What is the median of 3, 8, 1, 6, 9 and 4?
- 5correct
- 4
- 6
- 9
In order they are 1, 3, 4, 6, 8, 9, so the median is the mean of the two middle numbers: (4 + 6) / 2 = 5.

Pictographs and Bar Charts

Build the sentenceLevel 2
13. Build a true sentence about pictographs.
Answer: A pictograph uses pictures to show data
A pictograph uses pictures to show data instead of plain numbers.
Fact or fibLevel 2
14. If a pictograph key is 1 picture = 5, then 3 pictures stand for 15.
Answer: True
Three pictures worth 5 each: 3 x 5 = 15.
Fill the blankLevel 2
15. A ____ uses small pictures to stand for numbers of things.
- pictographcorrect
- ruler
- clock
- calendar
A pictograph shows data with repeated little pictures.
Choose all that applyLevel 3
16. Which statements about a bar chart are true? Select all that apply.
- The tallest bar shows the largest amountcorrect
- Bars can be different heightscorrect
- The height of a bar shows its amountcorrect
- All bars must be equal
Bars can be different heights and the height shows the amount, so the tallest bar is the biggest; they do not all have to be equal.
Match the pairsLevel 3
17. Match each pictograph feature to its meaning.
Answer: Key = What one picture is worth; Row of pictures = One category's amount; Half a picture = Half of the key value
The key says what one picture is worth, a row shows one category's amount, and half a picture is half the key value.
Multiple choiceLevel 3
18. A pictograph key shows 1 circle = 4 goals. A player's row has 3 and a half circles. How many goals is that?
- 14correct
- 12
- 7
- 16
Three and a half circles at 4 goals each: 3.5 x 4 = 14 goals.

Reading and Comparing Data

Build the sentenceLevel 2
19. Build a true sentence about bar charts.
Answer: A bar chart makes it easy to compare amounts
A bar chart makes it easy to compare amounts at a glance.
Choose all that applyLevel 2
20. From a bar chart of favourite fruits, which can you work out? Select all that apply.
- Which fruit is most popularcorrect
- The total number of votescorrect
- How many more one fruit got than anothercorrect
- The price of each fruit
You can find the most popular fruit, the total votes and the difference between fruits, but not their price.
Fill the blankLevel 2
21. To find how many more one group has than another, you ____ the two amounts.
- subtractcorrect
- add
- multiply
- double
Subtracting the smaller amount from the larger gives the difference.
Match the pairsLevel 2
22. Match each bar in a vote chart to what it means.
Answer: Tallest bar = Most votes; Shortest bar = Fewest votes; Two equal bars = A tie
The tallest bar has the most votes, the shortest has the fewest, and two equal bars mean a tie.
Multiple choiceLevel 2
23. A table shows cats 7, dogs 9 and fish 4. Which pet is there the fewest of?
- Fishcorrect
- Cats
- Dogs
- They are equal
Fish has 4, which is the smallest number in the table.
Guess the numberLevel 3
24. A bar chart shows one bar at 34 and another at 58. What is the difference between them?
Answer: 24
Subtract the smaller from the larger: 58 - 34 = 24.

Tables and Tally Charts

Fact or fibLevel 2
25. A tally mark that crosses four other marks stands for a group of ten.
Answer: False
A crossed group of five tally marks stands for 5, not 10.
Multiple choiceLevel 2
26. A tally chart shows red 5, blue 3 and green 7 votes. Which colour got the most votes?
- Greencorrect
- Red
- Blue
- It is a tie
Green has 7 votes, which is more than red's 5 or blue's 3.
Build the sentenceLevel 3
27. Build a true sentence about frequency tables.
Answer: A frequency table shows how often each result happens
A frequency table shows how often each result happens.
Fill the blankLevel 3
28. In a data table, each ____ usually shows one category and its count.
- rowcorrect
- colour
- corner
- slice
Each row of the table lines up a category with its count.
Guess the numberLevel 3
29. A frequency table shows counts of 7, 12, 5 and 9. What is the total frequency?
Answer: 33
Add every count: 7 + 12 + 5 + 9 = 33.
Match the pairsLevel 3
30. Match each part of a data table to its job.
Answer: Category column = Lists the choices; Frequency column = Counts each choice; Total row = Adds them all up
The category column lists the choices, the frequency column counts them, and the total row adds them all up.

Where these questions come from. Each unit starts as a plan of the concepts it should cover and the difficulty it should span. Questions are written against that plan with AI assistance, then checked by a validator that rejects anything without a single defensible answer, an explanation, or plausible wrong options. How we write questions sets out the whole process, and corrections are fixed in the bank and reach the site and the app the same day.

How you practise

This unit mixes 14 different question formats, so you are recalling and applying rather than recognising the same layout every time.

Build the sentence
Choose all that apply
Fact or fib
Fill the blank
Guess the number
Match the pairs
Multiple choice
Odd one out
Picture question
Put in order
Sort into groups
Spell it
True or false
Type the answer

Practise Data and Graphs

120 questions across 21 steps. Start with step one and crawl at your own pace.

Play this unit

Read about Data and Graphs

Explainers from our blog on what this unit covers. Each one ends with real questions from the bank.

Mean, Median, Mode and Range: How to Find Each OneMean, median, mode and range describe a data set in different ways. Learn how to calculate each measure and how outliers can change what the results show.August 13, 2026 · 5 min read

More units in Math

See all 18 units in Math →