Organize larger data sets into frequency tables, and represent them visually using pie charts.
A frequency table organizes raw data by counting how many times each value (or range of values) occurs. This makes large data sets much easier to read and analyze than a long list of numbers.
Marks scored by students: 5, 7, 5, 8, 7, 5, 9, 8. Make a frequency table.
5 → 3 times, 7 → 2 times, 8 → 2 times, 9 → 1 time
From the table above, what is the most frequent score (the mode)?
5, since it appears 3 times, more than any other score
A pie chart shows data as slices of a circle, where each slice's angle represents its share of the total. The angle for a category is found using: (category value ÷ total value) × 360°.
A survey of 60 people shows 15 prefer tea. What angle represents 'tea' in a pie chart?
(15/60) × 360° = 90°
A pie chart slice has an angle of 120°. What fraction of the total does it represent?
120/360 = 1/3
1. Data: 4, 6, 4, 7, 6, 4, 8. Make a frequency table and find the mode.
2. A class of 40 students: 10 like cricket, 15 like football, 15 like basketball. Find the pie chart angle for football.
3. A pie chart slice has an angle of 90°. What fraction of the total does it represent?
4. A survey of 90 people shows 30 prefer summer. Find the pie chart angle for summer.
5. In a pie chart, one slice is 60° and represents 20 people. How many people does the whole pie chart represent?