Discuss circumstances under which it is preferable to use relative frequency distributions instead of frequency distributions?

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.

Step-by-step 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.

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