Foundations & Data Types
Parameters vs. Statistics
Shapes of Distributions
Visualizing & Describing Distributions
Measures of Center & Spread
100

This is a characteristic or attribute that can take on different values for different individuals or objects.

What is a variable?

100

This single letter is universally used in statistics to represent the sample size.

What is

n?

100

A distribution where the left and right sides roughly mirror each other possesses this overall shape attribute.

What is symmetric

100

In the mnemonic acronym CUSS (with context) used to describe distributions, the letter "S" stands for these two structural properties.

What are Shape and Spread?

100

Calculated as the  Q_3 - Q_1 , this measure of variability is where 50% of the data lies.

What is the Interquartile range (IQR)?

200

What is the entire group of items or individuals of interest in a statistical study called?

What is a population?

200

A single numerical summary value calculated from a measured sample, represented by symbols like  \overline{x}  or  s .

What is a statistic?

200

A graph displaying a single prominent peak is classified by this structural term.

What is unimodal?

200

This type of plot breaks numbers into two parts to display exact values while showing the overall shape of a quantitative dataset.

What is a stem-and-leaf plot?

200

This is the formula for calculating a z-score.

What is 

(x_i -\mu)/(\sigma)

300

What term refers to an individual item or row in a data set from which information is gathered?

What is an observational unit (or individual/case)?

300

A numerical value summarizing an entire population, represented by Greek letters like  \mu or  \sigma.

What is a parameter?

300

When a distribution has a long tail pointing toward higher values on the right, it exhibits this shape.

What is right-skewed (or positively skewed)?

300

Unlike a bar chart, this graph displays quantitative data grouped into contiguous intervals called "bins" or "classes".

What is a histogram?

300

The exact physical middle value of an ordered dataset, denoted as  Q_2 .

What is the median?

400

Zip codes and favorite sports teams fall under this variable type because their values are group labels rather than numerical quantities.


What is a categorical variable (or qualitative variable)?

400

In a sample of 3 students with heights 72.3, 64.8, and 67.2 inches, the value 68.1 represents this specific calculated statistic.

What is the sample mean (\overline{x})?

400

A distribution that shows two distinct, clear local peaks is described as having this shape.

What is bimodal?

400

While histograms are great for summarizing large datasets, this primary disadvantage separates them from stemplots and dotplots.

What is the inability to see individual data values?

400

This measure of spread quantifies the typical distance that data points fall away from the mean.

What is standard deviation (s or  \sigma)?

500

This subcategory of quantitative variable can take on any numerical value within an interval, such as height, weight, or time.

What is a continuous quantitative variable?

500

When a website reports that "89.3% of all 2021 graduates found jobs," that figure is considered a parameter of that graduating class rather than a statistic because of this reason.

What is because data was collected from the entire population of graduates rather than a sample?

500

A quantitative distribution where every class or bin has approximately the same frequency, appearing flat across the top, has this shape.

What is uniform?

500

When describing data distributions on the AP exam, students must always link their structural findings to this real-world element.

What is context (units/variable names)?

500

Defined as the square of the standard deviation ( s^2 ), this measure of spread has squared units that make direct interpretation tricky.

What is variance?

600

This subcategory of quantitative variable can only take on distinct, countable values with gaps in between, such as shoe sizes or number of pets.

What is a discrete quantitative variable?

600

The capital letter  N  represents the size of this group, whereas the lowercase letter n represents the size of this subgroup. (two answers)

What are the population size ( N ) and sample size ( n )?

600

When a distribution's longer tail extends far to the left toward lower values, it is described as having this specific shape.

What is left-skewed?

600

When a dataset contains extreme outliers or strong skewness, these two summary statistics are preferred over the mean and standard deviation because they are resistant to extreme values. (two answers)

 What are the median and interquartile range (or IQR)?

600

In this classic rule for identifying outliers, a observation is flagged as an outlier if it falls more than 1.5 times the Interquartile Range above this quartile or below this quartile.

What is  Q_3  and  Q_1?

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