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What is a random variable?

Back

A random variable is a numerical outcome of a random phenomenon. It can be discrete (taking specific values) or continuous (taking any value within a range).

Tags

CCSS.HSS.MD.A.2

Front

Define discrete random variable.

Back

A discrete random variable is one that has a countable number of possible values, such as the number of children in a household.

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Define continuous random variable.

Back

A continuous random variable can take any value within a given range, such as the height of students.

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What is the mean of a random variable?

Back

The mean (expected value) of a random variable is the average of all possible values, weighted by their probabilities.

Tags

CCSS.HSS.MD.A.2

Front

How do you calculate the standard deviation of a random variable?

Back

The standard deviation is calculated as the square root of the variance, which measures the spread of the random variable's values around the mean.

Front

What is a probability distribution?

Back

A probability distribution describes how probabilities are distributed over the values of a random variable.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Front

What is the formula for the expected value of a discrete random variable?

Back

E(X) = Σ [x * P(x)], where x is a value of the random variable and P(x) is the probability of x.

Tags

CCSS.HSS.MD.A.2

Front

What is the variance of a random variable?

Back

Variance measures how far a set of numbers are spread out from their average value. It is the average of the squared differences from the mean.

Front

What is the relationship between mean and standard deviation?

Back

The mean provides a measure of central tendency, while the standard deviation indicates the dispersion of the data around the mean.

Tags

CCSS.6.SP.A.3

Front

What does it mean if a random variable is normally distributed?

Back

A normally distributed random variable has a symmetric bell-shaped distribution, characterized by its mean and standard deviation.

Tags

CCSS.HSS.ID.A.4