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Averages and cumulative frequency
Averages and cumulative frequency
Example 1
How many students are included in this frequency table?
Books read in one month| Books read | Number of students |
|---|
| 2 | 4 |
|---|
| 3 | 2 |
|---|
| 4 | 9 |
|---|
| 5 | 5 |
|---|
| 8 | 6 |
|---|
Show worked answer
Answer: 26
- Add the frequencies, not the book counts.
- 4+2+9+5+6=26 students.
Example 2
How many students read exactly 10 books?
Books read in one month| Books read | Number of students |
|---|
| 1 | 2 |
|---|
| 3 | 3 |
|---|
| 6 | 10 |
|---|
| 9 | 6 |
|---|
| 10 | 3 |
|---|
Show worked answer
Answer: 3
- The frequency beside 10 books is 3
- 3 students read that many books.
Example 3
What is the mean number of books read per student? Give an exact number or fraction.
Books read in one month| Books read | Number of students |
|---|
| 0 | 3 |
|---|
| 2 | 6 |
|---|
| 3 | 9 |
|---|
| 6 | 2 |
|---|
| 8 | 6 |
|---|
Show worked answer
Answer: 2699
- Multiply each book count by its frequency
- add: 0×3+2×6+3×9+6×2+8×6=99 books.
- Divide by 26 students: 2699=2699.
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