The relative frequencies add up to
1.
1. Relative frequencies are used to describe the proportion or percentage of each category in a given data set. When calculating relative frequencies, it is important to ensure that the sum of all the relative frequencies equals 1 or 100%.
2. To calculate the relative frequency for each category, divide the frequency of each category by the total number of observations in the data set.
3. For example, suppose you have a data set of 100 students and you want to calculate the relative frequencies for their grades. Let's say there are 30 students who scored an A, 40 students who scored a B, and 30 students who scored a C.
4. To find the relative frequency for the A grade, divide the frequency (30) by the total number of students (100). The relative frequency for A is 30/100 = 0.3 or 30%.
5. Similarly, the relative frequency for the B grade is 40/100 = 0.4 or 40%, and the relative frequency for the C grade is 30/100 = 0.3 or 30%.
6. Add up all the relative frequencies: 0.3 + 0.4 + 0.3 = 1. The sum of all the relative frequencies is equal to 1.