Podcast
Questions and Answers
Which of the following is NOT a characteristic of a normal distribution?
Which of the following is NOT a characteristic of a normal distribution?
A student measures the height of all the trees in a park. Which type of random variable is the height of a tree?
A student measures the height of all the trees in a park. Which type of random variable is the height of a tree?
Which of the following statements about a standard score is TRUE?
Which of the following statements about a standard score is TRUE?
What is the relationship between the mean and standard deviation of a normal distribution?
What is the relationship between the mean and standard deviation of a normal distribution?
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Which of the following is an example of a discrete random variable?
Which of the following is an example of a discrete random variable?
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Flashcards
Random Variable
Random Variable
A set of numbers assigned to outcomes of an experiment.
Normal Distribution
Normal Distribution
The distribution of a continuous random variable, bell-shaped.
Standard Score
Standard Score
Indicates how many standard deviations a value is from the mean.
Discrete Random Variable
Discrete Random Variable
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Continuous Random Variable
Continuous Random Variable
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Study Notes
Random Variables
- A random variable assigns numerical values to experiment outcomes.
- A continuous random variable's distribution can be bell-shaped (normal distribution).
- A discrete random variable's values often result from counting.
- A continuous random variable's values often result from measurements.
Normal Distribution
- A normal distribution's graph is bell-shaped.
- A standard normal distribution has a mean of 0 and standard deviation of 1.
- A normal curve is a bell-shaped curve.
Standard Score
- A standard score indicates how many standard deviations a value is from the mean.
Measures of Central Tendency
- The mean measures the central location of a random variable.
Empirical Rule
- The Empirical Rule (68-95-99.7% rule) describes the proportion of data within certain standard deviations of the mean in a normal distribution.
Examples of Random Variables
- Time spent on social media by a high school student is a continuous random variable.
- Employee salary is a continuous random variable.
- Calories in a sandwich are a discrete random variable.
- Number of children in a family is a discrete random variable.
- Number of tails when tossing a coin twice is a discrete random variable.
Variance
- Variance can be calculated by averaging the squared deviations from the mean, weighted by their probabilities.
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Description
Explore the concepts of random variables, including continuous and discrete types, and understand the normal distribution and its properties. Learn about standard scores and the empirical rule to better grasp central tendency measures. This quiz will test your knowledge of these foundational statistics topics.
