Stats: Review Chapter 4 - Univariate Distributions

Front

What is the standard deviation?

Back

The standard deviation is a measure of the amount of variation or dispersion in a set of values. It indicates how much individual data points typically differ from the mean.

Front

How do you calculate the interquartile range (IQR)?

Back

The interquartile range (IQR) is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). IQR = Q3 - Q1.

Front

What does a stemplot represent?

Back

A stemplot (or stem-and-leaf plot) is a method of displaying quantitative data in a graphical format, similar to a histogram, that helps visualize the distribution of the data.

Front

What is the difference between mean and median?

Back

The mean is the average of a data set, while the median is the middle value when the data is ordered. The mean can be affected by outliers, whereas the median is more robust.

Front

What does it mean if the mean is greater than the median?

Back

If the mean is greater than the median, it suggests that the data set is positively skewed, meaning there are some high values that are pulling the mean up.

Front

What is the purpose of using histograms?

Back

Histograms are used to represent the frequency distribution of numerical data, allowing for visual interpretation of the data's shape, central tendency, and variability.

Front

What does the term 'variability' refer to in statistics?

Back

Variability refers to how spread out or dispersed the values in a data set are. It indicates the degree to which the data points differ from each other.

Front

What is the relationship between the mean and median in a symmetric distribution?

Back

In a symmetric distribution, the mean and median are equal, indicating that the data is evenly distributed around the center.

Front

How does one interpret a higher standard deviation?

Back

A higher standard deviation indicates that the data points are more spread out from the mean, suggesting greater variability in the data.

Front

What is a dot plot?

Back

A dot plot is a simple graphical display of data using dots to represent individual data points, making it easy to see the distribution and frequency of values.