Displaying and Comparing Quantitative Data(KA/SAP/U2DisplayingAndComparingQuantitativeData)

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Unit 2: Displaying and Comparing Quantitative Data

1. Displaying Quantitative Data with Graphs

Quantitative data can be displayed using various types of graphs. Common types include:

  • Histogram: Shows the frequency of data within certain ranges (bins).
  • Dot Plot: Each data point is shown as a dot above its value on a number line.
  • Box Plot: Summarizes data using the median, quartiles, and outliers.

Histogram

Dot Plot

Box Plot

Quiz: Which graph is best for showing the spread and outliers of a dataset?
Histogram
Dot Plot
Box Plot

2. Describing and Comparing Distributions

When describing distributions, consider:

  • Shape: Symmetric, skewed, unimodal, bimodal, etc.
  • Center: Mean or median.
  • Spread: Range, interquartile range (IQR), standard deviation.
  • Outliers: Data points that are far from the rest.

Comparing Two Distributions (Box Plots)

Comparing Two Distributions (Histograms)

Quiz: What does a larger IQR indicate about a distribution?
Less spread
More spread
No outliers

3. More on Data Displays

Other useful data displays include:

  • Cumulative Frequency Plot (Ogive): Shows the running total of frequencies.
  • Time Plot: Displays data points in time order, useful for trends.

Cumulative Frequency Plot (Ogive)

Time Plot

Quiz: What is the main use of a time plot?
Compare categories
Show trends over time
Show outliers

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