In a survey of 50 students, 15 students said they liked football. The number of students who like football is 15, and the ________ (frequency/relative frequency) is __________ (fill in the fraction or decimal).

Step-by-step solution

Idea: The frequency is the count itself (15). The relative frequency is the count divided by the total: 1550. A fraction or decimal goes with relative frequency.

1. 15 is the frequency (the number of students). The blank asks for a fraction or decimal, so the word is relative frequency.½ mark
2. Relative frequency = Number who like footballTotal surveyed = 1550 = 310 = 0.3.½ mark

Check: 0.3 × 50 = 15 ✓.

Answer to write in the exam

Common mistakes that cost marks

• Writing “frequency is 0.3”. Frequency is the count (15); 0.3 is the relative frequency.
• Writing 1535 (those who like football over those who do not). Divide by the whole group of 50.
• Writing 0.15 by reading 15 as a percentage of 100. The total here is 50, not 100.

How this can come in the exam

Try one yourself

In a survey of 60 people, 24 prefer tea. Write the frequency and the relative frequency of people who prefer tea.

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