Vocabulary
What type of data is described using labels and categories only?
What is categorical data
I’m a variable that measures the number of hours students study.
What is Quantitative?
What does the "C" in SOCS stand for?
What is center?
What is the total area under a density curve?
What does a z-score measure?
What is how many standard deviations a value is from the mean?
What is the difference between a parameter and a statistic?
What is that parameter describes a population, a statistic describes a sample
If I ask for a person’s favorite ice cream flavor, what type of variable is that?
What is Categorical?
What is the best measure of center for a skewed distribution?
What is Median and IQR?
Can a density curve can have negative values?
What is never?
If a value has a z-score of -1.5, what does that tell us?
What is 1.5 standard deviations below the mean?
What do we call a graph that displays the five-number summary?
What is a Boxplot
A variable that tracks the temperature in Celsius every day for a month?
What is Quantitative and continuous?
What is the name of a measure of spread that is resistant to outliers?
What is IQR?
In a normal distribution, what percentage of data falls within 1 standard deviation of the mean?
What is about 68%?
A student scores 85 on a test with mean 75 and standard deviation 5. What is the z-score?
What is z= 85-75/5 = 2?
What is the difference between quantitative and categorical variables?
Quantitative variables are numerical; categorical variables are non-numerical.
You ask people to rate a movie from 1 to 5 stars?
What is Categorical and ordinal?
If a graph is symmetric and bell-shaped, what are the best measures of center and spread?
What is mean and standard deviation?
What does the peak of a density curve represent?
What is the mode?
You receive a z-score of 2.05 on a normally distributed exam. Estimate the percentile you fall in and explain why.
What is a z-score of 2.05 being just over 2 standard deviations above the mean. About 95% of data lies within 2 standard deviations, so being slightly above 2 puts you at approximately the 98th percentile?
Define and distinguish between observational studies, experiments, and simulations in terms of how data is collected.
Observational studies collect data without interference.
Experiments involve applying treatments to subjects.
Simulations model real-world processes using random digits or algorithms.
You collect data on the color of cars in a parking lot and the number of doors each car has, What are these variables?
Color = categorical
Doors = quantitative discrete
A data set has a long right tail and a mean much larger than the median. What can we infer about the shape and which measure is more appropriate?
What is a right-skewed and median appropriate distribution?
A dataset is modeled by a left-skewed density curve. How do the mean and median compare?
What is the mean being less than the median?
A value has a z-score of 3.2. Assuming a normal distribution, is this considered unusual? Why or why not?
What is z-scores greater than 2 being considered unusual?