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
| Value | Frequency |
|---|---|
| 1 | 2 |
| 3 | |
| 6 | 4 |
Example 2
The exact mean is
| Value | Frequency |
|---|---|
| 2 | 3 |
| 4 | |
| 7 | 5 |
Your turn
Question 1Given information
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 .
The exact mean is
| Value | Frequency |
|---|---|
| 3 | 4 |
| 5 | |
| 8 | 6 |
Check answer
Question 2Given information
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 .
The exact mean is
| Value | Frequency |
|---|---|
| 4 | 5 |
| 6 | |
| 9 | 4 |
Check answer
Question 3Given information
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 .
The exact mean is
| Value | Frequency |
|---|---|
| 5 | 6 |
| 7 | |
| 10 | 5 |
Check answer
Question 4Given information
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 .
The exact mean is
| Value | Frequency |
|---|---|
| 1 | 7 |
| 3 | |
| 6 | 6 |
Check answer
Question 5Given information
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 .
The exact mean is
| Value | Frequency |
|---|---|
| 2 | 8 |
| 4 | |
| 7 | 4 |
Check answer
The exact mean is
| Value | Frequency |
|---|---|
| 3 | 4 |
| 5 | |
| 8 | 6 |
The exact mean is
| Value | Frequency |
|---|---|
| 4 | 5 |
| 6 | |
| 9 | 4 |
The exact mean is
| Value | Frequency |
|---|---|
| 5 | 6 |
| 7 | |
| 10 | 5 |
The exact mean is
| Value | Frequency |
|---|---|
| 1 | 7 |
| 3 | |
| 6 | 6 |
The exact mean is
| Value | Frequency |
|---|---|
| 2 | 8 |
| 4 | |
| 7 | 4 |