## Joint relative frequency

### Joint relative frequency refers to the proportion or percentage of times two events occur simultaneously in relation to the total number of data points or observations

Joint relative frequency refers to the proportion or percentage of times two events occur simultaneously in relation to the total number of data points or observations. It is a statistical measure used to analyze the relationship between two variables in a data set.

To calculate the joint relative frequency, you need to determine the number of times both events occur together and divide it by the total number of observations.

Let’s illustrate this with an example. Suppose we have a data set of 100 students who were surveyed about their favorite subjects, math (M) and science (S). The table below shows the number of students who liked each subject or both subjects.

| Math (M) | Science (S) |

——————————-

M | 40 | 20 |

S | 10 | 30 |

To find the joint relative frequency of students who like both math and science, we add up the number of students in the intersection (shared area) of the “M” and “S” categories, which is 20. Dividing this by the total number of students (100), we get:

Joint Relative Frequency = 20/100 = 0.2 or 20%

So, the joint relative frequency for students who like both math and science is 20%.

You can also calculate joint relative frequencies in other ways, such as using ratios or proportions.

It is important to note that joint relative frequency is typically used when analyzing categorical data and comparing two variables simultaneously. It helps to determine the strength of the relationship between the variables and identify any patterns or associations.

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