Practice Relative Frequency in Statistics
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The fraction or percentage of times a value occurs out of the total number of observations.
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
easyIn 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
mediumA 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
mediumSchool 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
hardA 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.