Handling DataP6 level23 questions in the full course

Calculate the MeanSEAG Practice Questions

Calculate and use the mean (average): add all values to find the total, count the values, then divide the total by the count. Use the same equal-sharing idea to reason about changes to every value and to work backwards from a known mean.

Where your child meets this in real life: Calculating average scores, average speed, or average cost per item

What your child needs to know

In the SEAG test

Each SEAG paper has 28 maths questions. Questions 29 to 50 are multiple choice with five possible answers, and questions 51 to 56 need a short written answer. With 56 questions in 60 minutes across English and maths, that is about a minute per question.

SEAGReady breaks calculate the mean into 3 steps, taught in order so each skill builds on the last.

  1. 1

    Small Data Sets (3-4 values)

    Calculate the mean of 3-4 small numbers using the three-step procedure: add, count, divide

  2. 2

    Larger Data Sets (5+ values)

    Calculate the mean of 5-7 values accurately and reason about how the mean changes when every value changes by the same amount

  3. 3

    Finding a Missing Value

    Find a missing value in a data set when given the mean and all other values

Try these SEAG-style questions

Try three free questions from our calculate the mean course. They start easy and get harder, so you can see where your child's confidence runs out. If they manage the last one without a hint, this topic is probably secure. If not, the steps above show where to start.

Question 1Confidence builder

Sean's goals in his last three football matches are shown. What is his mean score per match?

A table showing Sean scored 3, 6 and 9 goals in matches 1, 2 and 3.
Answer choices for question 1
Question 2Standard

The table shows the loaves of bread a bakery sold over five days. What was the mean number sold per day?

A table showing a bakery sold 45, 55, 35, 60 and 30 loaves on days 1 to 5.
Answer choices for question 2
Question 3Stretch

A cricket team's mean score over six matches was 42 runs. What did they score in match 6?

A table showing cricket scores of 38, 45, 52, 31 and 40 runs, with match 6 missing.
Answer choices for question 3

Try the lesson: Small Data Sets (3-4 values)

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Sarah scored 4, 7, and 10 goals in her last three hockey matches.

What is her mean score per match?

Mean of 4, 7, 10

Add all the values to find the total
1

Add the three scores together

4 + 7 + 10 = 21

Step 1 of 3

Prefer to read? See every step written out

Sarah scored 4, 7, and 10 goals in her last three hockey matches.

What is her mean score per match?

  1. 1

    Add all the values to find the total

    • Add the three scores together4 + 7 + 10 = 21
  2. 2

    Count how many values there are

    • Count the matches: 3 values
  3. 3

    Divide the total by the count

    • Divide total by count to find mean21 ÷ 3 = 7

Sarah's mean score is 7 goals per match.

The key insight: The mean is like sharing equally - if Sarah scored the same in each match, it would be 7!

Common mix-up: 21 ÷ 21 = 1. You divide by the count (how many values), not by the total.

Mistakes to watch for

These are the misconceptions we see most often in calculate the mean, including the ones our practice questions are specifically designed to catch.

  • Forgetting to count all values when dividing
  • Adding incorrectly
  • Dividing by the total instead of the count

Build these skills first

Struggling with calculate the mean? The real gap is often in one of these earlier topics.

More handling data practice

Sitting the SEAG test this November? Read our last-month revision plan, Paper 1 vs Paper 2 and test day guide.

23 questions on this topic alone

Master calculate the mean and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.

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