Practice Relative Frequency in Statistics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Relative frequency is the fraction or percentage of times a value occurs out of the total number of observations. It converts raw counts into proportions, enabling fair comparisons between groups of different sizes.

Instead of saying '15 students picked pizza,' you say '15 out of 50' or '30%.' Relative frequency compares to the whole, making different-sized groups comparable.

Example 1

easy
In a class of 30 students, 12 walk to school, 10 take the bus, 5 cycle, and 3 are driven. Calculate the relative frequency of each transport method.

Example 2

medium
A die is rolled 200 times with results: 1→30, 2→38, 3→35, 4→32, 5→28, 6→37. Calculate the relative frequency for each outcome and discuss whether the die appears fair.

Example 3

medium
School A has 400 students (60 in sports clubs) and School B has 250 students (45 in sports clubs). Which school has a higher proportion of students in sports clubs?

Example 4

hard
A coin is flipped repeatedly. After 10 flips: 7 heads (RF=0.70). After 50 flips: 29 heads (RF=0.58). After 500 flips: 256 heads (RF=0.512). After 5000 flips: 2,520 heads (RF=0.504). Describe the trend and explain what it demonstrates about probability.
← Back to Relative Frequency Worked Examples Formula Explained