Marginal and Conditional Distributions Quiz

What is the definition of marginal distribution?

• The probability distribution of the variables contained in the subset.

• The distribution of variables in a controlled experiment

• The distribution of variables in the entire population

• The distribution of variables in a random sample

What is the definition of conditional distribution?

• The probability distribution of a subset of data, given that a certain condition is met.

• The distribution of data without any conditions

• The distribution of unconditional data

• The distribution of data based on random chance

If we have a table showing the number of boys and girls in a class, what type of distribution are we looking at?

• Exponential distribution

• Poisson distribution

• Bivariate distribution

• Normal distribution

If we have a table showing the number of students who like different colors based on their gender, what type of distribution are we looking at?

• Exponential distribution

• Poisson distribution

• Categorical distribution

• Normal distribution

In a conditional distribution, what do we consider as the condition?

• The average value of the data

• The variable or event that we are using to divide the data into subgroups for analysis

• The total number of observations

• The highest value in the data

If we have a table showing the number of students who like different sports based on their age group, what type of distribution are we looking at?

• Normal distribution

• Poisson distribution

• Uniform distribution

• Categorical distribution

What is the purpose of finding marginal distributions?

• To hide the relationship between variables

• To mix all the variables together

• To understand the individual behavior of each variable in a dataset.

• To confuse the data

What is the purpose of finding conditional distributions?

• To calculate the standard deviation

• To create a scatter plot

• To understand the relationship between two variables when one variable is dependent on the other.

• To determine the average of two variables

If we have a table showing the number of students who eat different snacks based on the time of day, what type of distribution are we looking at?

• Marginal distribution

• Normal distribution

• Binomial distribution

• Poisson distribution

In a marginal distribution, what do we consider for each category?

• Standard deviation for each category

• Total count or proportion for each category

• Median for each category

• Average for each category