Mean: Finding the Missing Number WORKSHEET
Suitable for Year groups: Year 8, Year 9
GCSE Tier: Foundation/Higher
Targeting grades: 4 - 5
Prerequisite knowledge: Calculating the mean. Arithmetic. Rearranging simple equations.
Learning Objective: Describe, interpret and compare distributions using appropriate measures of central tendency and spread.
Mean: Finding the Missing Number WORKSHEET DESCRIPTION
This worksheet develops fluency in using the mean to determine missing values in a data set.
Students begin with straightforward calculations in Section A, where they use the given mean to find one missing number.
Section B introduces common misconceptions, asking students to spot, correct, and explain errors.
Two questions in Section C follow a Variation Theory–style sequence designed to deepen understanding of how changing individual values affects the total and, in turn, the mean. Students work through carefully structured examples before reasoning whether a missing value should be higher or lower based on its impact on the overall average.
Section D progresses to reasoning problems, including constructing data sets, comparing totals, and adjusting the mean after a change to one value.
Finally, Section E provides algebraic mean problems requiring students to solve for unknowns in multiple sets.
Students begin with straightforward calculations in Section A, where they use the given mean to find one missing number.
Section B introduces common misconceptions, asking students to spot, correct, and explain errors.
Two questions in Section C follow a Variation Theory–style sequence designed to deepen understanding of how changing individual values affects the total and, in turn, the mean. Students work through carefully structured examples before reasoning whether a missing value should be higher or lower based on its impact on the overall average.
Section D progresses to reasoning problems, including constructing data sets, comparing totals, and adjusting the mean after a change to one value.
Finally, Section E provides algebraic mean problems requiring students to solve for unknowns in multiple sets.
All worksheets are created by the team of experienced teachers at Cazoom Maths.
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Frequently Asked Questions
Describe, interpret and compare distributions using appropriate measures of central tendency and spread.