Completing a pie-chart table from one known row
Completing a pie-chart table from one known row.
- A whole circle is 360°. Each sector represents the same fraction of the angle total and frequency total.
- Angle = frequency ÷ total × 360. Frequency = angle ÷ 360 × total.
- If one sector has both values, use it to recover the total. Check completed frequencies and angles add correctly.
Example 1
Complete the table, then draw the pie chart. Only one row contains both a frequency and an angle.
| Category | Frequency | Angle |
|---|---|---|
| A | 8 | |
| B | ||
| C | 12 | |
| D |
| Category | Frequency | Angle |
|---|---|---|
| A | 8 | |
| B | 10 | |
| C | 12 | |
| D | 18 | |
| Total | 48 |
Black: given data. Blue: working we add.
Example 2
Complete the table, then draw the pie chart. Only one row contains both a frequency and an angle.
| Category | Frequency | Angle |
|---|---|---|
| A | 15 | |
| B | ||
| C | 24 | |
| D |
| Category | Frequency | Angle |
|---|---|---|
| A | 15 | |
| B | 18 | |
| C | 24 | |
| D | 15 | |
| Total | 72 |
Black: given data. Blue: working we add.
Your turn
Complete the table, then draw the pie chart. Only one row contains both a frequency and an angle.
| Category | Frequency | Angle |
|---|---|---|
| A | 16 | |
| B | ||
| C | 24 | |
| D |
Check answer
| Category | Frequency | Angle |
|---|---|---|
| A | 16 | |
| B | 20 | |
| C | 24 | |
| D | 36 | |
| Total | 96 |
Black: given data. Blue: working we add.
Complete the table, then draw the pie chart. Only one row contains both a frequency and an angle.
| Category | Frequency | Angle |
|---|---|---|
| A | 25 | |
| B | ||
| C | 40 | |
| D |
Check answer
| Category | Frequency | Angle |
|---|---|---|
| A | 25 | |
| B | 30 | |
| C | 40 | |
| D | 25 | |
| Total | 120 |
Black: given data. Blue: working we add.
Complete the table, then draw the pie chart. Only one row contains both a frequency and an angle.
| Category | Frequency | Angle |
|---|---|---|
| A | 24 | |
| B | ||
| C | 36 | |
| D |
Check answer
| Category | Frequency | Angle |
|---|---|---|
| A | 24 | |
| B | 30 | |
| C | 36 | |
| D | 54 | |
| Total | 144 |
Black: given data. Blue: working we add.
Complete the table, then draw the pie chart. Only one row contains both a frequency and an angle.
| Category | Frequency | Angle |
|---|---|---|
| A | 35 | |
| B | ||
| C | 56 | |
| D |
Check answer
| Category | Frequency | Angle |
|---|---|---|
| A | 35 | |
| B | 42 | |
| C | 56 | |
| D | 35 | |
| Total | 168 |
Black: given data. Blue: working we add.
Complete the table, then draw the pie chart. Only one row contains both a frequency and an angle.
| Category | Frequency | Angle |
|---|---|---|
| A | 32 | |
| B | ||
| C | 48 | |
| D |
Check answer
| Category | Frequency | Angle |
|---|---|---|
| A | 32 | |
| B | 40 | |
| C | 48 | |
| D | 72 | |
| Total | 192 |
Black: given data. Blue: working we add.
Complete the table, then draw the pie chart. Only one row contains both a frequency and an angle.
| Category | Frequency | Angle |
|---|---|---|
| A | 16 | |
| B | ||
| C | 24 | |
| D |
| Category | Frequency | Angle |
|---|---|---|
| A | 16 | |
| B | 20 | |
| C | 24 | |
| D | 36 | |
| Total | 96 |
Black: given data. Blue: working we add.
Complete the table, then draw the pie chart. Only one row contains both a frequency and an angle.
| Category | Frequency | Angle |
|---|---|---|
| A | 25 | |
| B | ||
| C | 40 | |
| D |
| Category | Frequency | Angle |
|---|---|---|
| A | 25 | |
| B | 30 | |
| C | 40 | |
| D | 25 | |
| Total | 120 |
Black: given data. Blue: working we add.
Complete the table, then draw the pie chart. Only one row contains both a frequency and an angle.
| Category | Frequency | Angle |
|---|---|---|
| A | 24 | |
| B | ||
| C | 36 | |
| D |
| Category | Frequency | Angle |
|---|---|---|
| A | 24 | |
| B | 30 | |
| C | 36 | |
| D | 54 | |
| Total | 144 |
Black: given data. Blue: working we add.
Complete the table, then draw the pie chart. Only one row contains both a frequency and an angle.
| Category | Frequency | Angle |
|---|---|---|
| A | 35 | |
| B | ||
| C | 56 | |
| D |
| Category | Frequency | Angle |
|---|---|---|
| A | 35 | |
| B | 42 | |
| C | 56 | |
| D | 35 | |
| Total | 168 |
Black: given data. Blue: working we add.
Complete the table, then draw the pie chart. Only one row contains both a frequency and an angle.
| Category | Frequency | Angle |
|---|---|---|
| A | 32 | |
| B | ||
| C | 48 | |
| D |
| Category | Frequency | Angle |
|---|---|---|
| A | 32 | |
| B | 40 | |
| C | 48 | |
| D | 72 | |
| Total | 192 |
Black: given data. Blue: working we add.