5.1 and 5.2 Probability Distributions Extra Extra Practice

Front

What is the formula to calculate the Z-score?

Back

Z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What does a Z-score represent in a probability distribution?

Back

A Z-score indicates how many standard deviations an element is from the mean.

Front

Classify the following: The number of students in a classroom.

Back

Discrete

Front

Classify the following: The height of students in a school.

Back

Continuous

Front

What is a discrete random variable?

Back

A variable that can take on a countable number of values.

Front

What is a continuous random variable?

Back

A variable that can take on an infinite number of values within a given range.

Front

If μ = 50 and σ = 10, what is the Z-score for X = 70?

Back

Z = (70 - 50) / 10 = 2.

Front

What is the significance of the mean in a probability distribution?

Back

The mean is the average value around which the data points are distributed.

Front

What does the standard deviation measure in a data set?

Back

The standard deviation measures the amount of variation or dispersion of a set of values.

Front

If the Z-score is -1.5, what does this indicate about the value?

Back

The value is 1.5 standard deviations below the mean.