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      Explain how to calcluate the mean of a set of data including a value of zero

      Lesson details

      Learning outcome

      I can explain how to calculate the mean of a set of data including a value of zero

      Key learning points

      1. The mean value of a set of data is the total of the numbers divided by how many numbers there are.
      2. If a value in the set is zero it is still included in the calculation of the mean.

      Keywords

      • Mean average - The mean average is a single number expressing the typical value in a set of data. It is calculated by finding the total of the set of data and dividing by how many values there are.

      • Set of data - A set of data is a collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.

      Common misconception

      Some pupils may think that zero values do not need to be included when dividing by how many values there are in the set of data.

      Show that even if a value is zero, it is still a value in the set of data. It doesn't affect the total of the set but does need to be included in the total number of values in the set.

      Teacher tip

      The context of number of pages read each night could be changed if not appropriate for the context. The numbers chosen may need a mix of mental and written calculation but are designed not to distract from the learning about mean average.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      48 ÷ 6 =

      Correct Answer: 8

      Q2.
      360 ÷ 10 =

      Correct Answer: 36

      Q3.
      432 ÷ 10 =

      Correct Answer: 43.2

      Q4.
      45 + 34 + 24 + 19 + 29 + 67 =

      Correct Answer: 218

      Q5.
      The mean average is calculated by finding the total of the set of data and by how many values there are.

      Correct Answer: dividing

      Q6.
      Here are the scores from Pine class’ spelling test: 10 9 3 10 What is the mean average score?

      7
      Correct answer: 8
      9

      6 Questions

      Q1.
      Use the table to calculate Jacob’s mean average number of pages read. The mean average is

      An image in a quiz
      Correct Answer: 12

      Q2.
      Laura says: ‘Complete the table by working out how many pages I read on Friday.’ What is the missing value?

      An image in a quiz
      10
      19
      Correct answer: 20
      21

      Q3.
      Calculate the mean average of the number of pages Jacob reads over four days. The mean average is

      An image in a quiz
      Correct Answer: 45

      Q4.
      Calculate the mean average of the number of pages Sofia reads over ten days. The mean average is

      An image in a quiz
      Correct Answer: 44

      Q5.
      Look at the table. How many pages does Alex read on average?

      An image in a quiz
      Between 20 and 21 pages
      Correct answer: Between 21 and 22 pages

      Q6.
      Lucas and Laura are looking at the amount read by Sam. Lucas says Sam had read a mean average of 10 pages per day. Laura says Sam has read a mean average of 13.3 pages per day. Who is correct?

      An image in a quiz
      Correct answer: Lucas
      Laura

      To help you plan your 6 maths lesson on: Explain how to calcluate the mean of a set of data including a value of zero, download all teaching resources for free and adapt to suit your pupils' needs...