Answer:
The relative frequency distributions would be more preferable to use when we want to measure the weight of a particular category or also when we want to compare different categories of data within a table. Moreover, relative frequency is often used for the probability calculations.
Explanation:
Frequency distribution:
A frequency distribution simply tells us how many times an event has occurred or in other words, it is the rate of occurrence.
Relative frequency distribution:
On the other hand, the relative frequency tells us the fraction of how many times an event has occurred with respect to the total number of trials.
For example:
Consider a bag of marbles having marbles of different colors. We randomly pick marbles from the bag and got the following results.
Event | Frequency
Red | 2
Blue | 4
Green | 6
Grey | 3
The frequency of Red marbles is 2 which means that the red marble came up two times. Similarly, the blue marble came up four times.
The relative frequency of red marble is 2/15 = 0.133 = 13.3%
The relative frequency of green marble is 6/15 = 0.40 = 40%
This means that the green marbles came up 40% of the time.
When relative frequency distributions is preferred?
The relative frequency distributions would be more preferable to use when we want to measure the weight of a particular event or also when we want to compare different categories of data within a table. Moreover, relative frequency is often used for the probability calculations.