Relative Frequency Statistics Example 3

Follow the full solution, then compare it with the other examples linked below.

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?

Solution

  1. 1
    Step 1: School A relative frequency: 60400=0.15\frac{60}{400} = 0.15 (15%). School B: 45250=0.18\frac{45}{250} = 0.18 (18%).
  2. 2
    Step 2: School B has a higher proportion (18% vs 15%) even though School A has more students in sports clubs in absolute terms (60 vs 45).

Answer

School B has a higher proportion (18%) of students in sports clubs compared to School A (15%).
Relative frequency enables fair comparisons between groups of different sizes. Comparing raw counts would be misleading because the schools have different total enrolments. Proportions normalise for group size.

About Relative Frequency

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.

Learn more about Relative Frequency →

More Relative Frequency Examples

Example 1 easy

In a class of 30 students, 12 walk to school, 10 take the bus, 5 cycle, and 3 are driven. Calculate

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 f

Example 4 hard

A coin is flipped repeatedly. After 10 flips: 7 heads (RF=0.70). After 50 flips: 29 heads (RF=0.58).

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