Graphs for Univariate and Metric Variables

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

Which type of graph is generally considered the best for displaying the distribution of categorical data?

  • Bar chart (correct)
  • Pie chart
  • Box plot
  • Scatter plot

Ranking categories by height is generally recommended for bar charts displaying nominal data.

True (A)

What type of graph is commonly used alongside histograms to describe the distribution of a single metric variable?

box plot

In a box plot, the ______ indicates the spread of the middle 50% of the data.

<p>interquartile range</p>
Signup and view all the answers

Match the following graph types with their primary data type:

<p>Bar chart = Categorical Histogram = Metric Box Plot = Metric</p>
Signup and view all the answers

Which of the following best describes the purpose of 'whiskers' in a boxplot?

<p>To show the range of the data excluding outliers (D)</p>
Signup and view all the answers

A positive skew in a distribution means the longer tail is below the mean.

<p>False (B)</p>
Signup and view all the answers

What does kurtosis measure about a distribution?

<p>peakedness</p>
Signup and view all the answers

When categories are nominal, a good way to represent them visually is to rank the bars in a chart by ______.

<p>height</p>
Signup and view all the answers

In the context of data visualization for social research, what is one reason pie charts might be used less often than bar charts?

<p>Pie charts can be more difficult to interpret when there are many categories. (C)</p>
Signup and view all the answers

Histograms are best suited for visualizing categorical data.

<p>False (B)</p>
Signup and view all the answers

What is often fitted to a histogram to better understand the distribution's shape?

<p>curve</p>
Signup and view all the answers

A bar chart showing the mean of a metric variable across categories of a categorical variable is an example of a ______ graphic.

<p>I3d</p>
Signup and view all the answers

What does a negative kurtosis indicate about the shape of a distribution?

<p>The distribution is less peaked than the normal curve. (A)</p>
Signup and view all the answers

Adding complexities to graphs is always beneficial, as it provides more detailed information.

<p>False (B)</p>
Signup and view all the answers

What is the primary purpose of a histogram?

<p>distribution</p>
Signup and view all the answers

Skewness and ______ are about how the shape of the distribution compares to the normal distribution.

<p>kurtosis</p>
Signup and view all the answers

Match skewness and kurtosis with their graphical effects on distribution:

<p>Positive Skew = Longer tail above the mean Negative Kurtosis = Less peaked than the normal curve</p>
Signup and view all the answers

What type of variables are best represented using bar charts?

<p>Nominal variables (C)</p>
Signup and view all the answers

In smaller datasets, histograms and bar charts convey very different information.

<p>False (B)</p>
Signup and view all the answers

Flashcards

Categorical variable graphs

Visual representations, like bar charts, that display data organized by categories.

Bar chart

A graph that represents categorical data with rectangular bars. The height of each bar is proportional to the value it represents.

Infographics

Graphs like pie charts, offer visually striking ways to present univariate or multivariate statistics.

Graphs for Metric Variables

Graphs used to describe the distribution of single variables. Examples include: histograms and box plots

Signup and view all the flashcards

Histogram

A graph showing the frequency distribution of numerical data.

Signup and view all the flashcards

Boxplot

A visual representation of data distribution using quartiles, median, and outliers.

Signup and view all the flashcards

Skew

Measure of the asymmetry of a distribution around its mean; can be positive (tail above mean) or negative (tail below mean)

Signup and view all the flashcards

Kurtosis

Measure of whether the data is peaked or flat relative to a normal distribution.

Signup and view all the flashcards

Study Notes

  • Univariate descriptions with graphs are used to display graphs for categorical variables.

Graphs for Categorical Variables

  • Bar charts are typically the best way to show the distribution of categories.
  • Social research outputs often show data using pie charts and niche visualization graphics.
  • Complexities, like confidence intervals and multivariate comparisons, can be added to graphs.
  • When categories are nominal, ranking bars by height in bar charts is good practice.
  • Many users modify colors, labels, etc.

Pie Charts and Infographics

  • There are many options for generating striking images using univariate/multivariate stats
  • There is often a trade-off between a striking image and a useful graphic.

Graphs for Metric Variables

  • Histograms and box plots are used to describe the distribution of a single variable.
  • Curves are often fit to histograms - e.g., the best-fitting normal curve or some other line plot.
  • Graphics use metric measures with other variables (e.g., a bar chart showing the mean of a metric variable across categories of a categorical variable).
  • In a small dataset, a histogram is the same as a bar chart, in larger datasets it smooths the distribution.
  • A box and whiskers plot indicate the spread of values of the metric variables
  • Skew and kurtosis are about how the shape of the distribution compares to the normal distribution
  • Positive Skew: Indicates a longer tail above the mean
  • Negative Skew: Indicates a longer tail below the mean
  • Positive Kurtosis: More peaked than the normal curve
  • Negative Kurtosis: Less peaked than the normal curve

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

Sociology Notes 2025 PDF

More Like This

Measurement Levels in Data Analysis
7 questions
Statistics Chapter 2 Flashcards
17 questions
Data Visualization Techniques
10 questions
Use Quizgecko on...
Browser
Browser