AI generatedStatisticsCourse skill

Finding a missing frequency from a mean

Finding a missing frequency from a mean.

  • Mean = total of values ÷ number of values.
  • Mean × count recovers a total. Combine totals before dividing by a combined count.
  • Keep exact values until the final rounding step.

Example 1

The exact mean is . Find the missing frequency .

Given information
ValueFrequency
12
3
64
Mean = total of values ÷ total frequency. Multiply by the denominator.Expand and collect the terms on one side.Divide both sides by the coefficient of .

Example 2

The exact mean is . Find the missing frequency .

Given information
ValueFrequency
23
4
75
Mean = total of values ÷ total frequency. Multiply by the denominator.Expand and collect the terms on one side.Divide both sides by the coefficient of .

Your turn

Question 1

The exact mean is . Find the missing frequency .

Given information
ValueFrequency
34
5
86
Check answer
Mean = total of values ÷ total frequency. Multiply by the denominator.Expand and collect the terms on one side.Divide both sides by the coefficient of .
Question 2

The exact mean is . Find the missing frequency .

Given information
ValueFrequency
45
6
94
Check answer
Mean = total of values ÷ total frequency. Multiply by the denominator.Expand and collect the terms on one side.Divide both sides by the coefficient of .
Question 3

The exact mean is . Find the missing frequency .

Given information
ValueFrequency
56
7
105
Check answer
Mean = total of values ÷ total frequency. Multiply by the denominator.Expand and collect the terms on one side.Divide both sides by the coefficient of .
Question 4

The exact mean is . Find the missing frequency .

Given information
ValueFrequency
17
3
66
Check answer
Mean = total of values ÷ total frequency. Multiply by the denominator.Expand and collect the terms on one side.Divide both sides by the coefficient of .
Question 5

The exact mean is . Find the missing frequency .

Given information
ValueFrequency
28
4
74
Check answer
Mean = total of values ÷ total frequency. Multiply by the denominator.Expand and collect the terms on one side.Divide both sides by the coefficient of .