Summary
Summary STA 205 Summarizing Quantitative Data
- Course
- STA 205
- Institution
- Northern Kentucky University
This is a comprehensive and detailed summary on;Summarizing Quantitative Data for Sta 205.
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! Packet 7: Summarizing Quantitative Data Textbook pages: 48 – 50; 53 – 72
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After completing this material, you should be able to:
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! • describe the distribution of a quantitative variable by discussing its shape, center, spread, and unusual
! characteristics.
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• calculate (using StatCrunch) measures of center and measures of spread.
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! • apply the Empirical Rule or Chebyshev’s Rule to a distribution when discussing the standard deviation.
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! • compare distributions using boxplots.
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! Recall: What is a quantitative variable?
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To summarize a quantitative variable, we need a new graphical display – a bar graph cannot be used. We will first look at
! histograms for graphically summarizing quantitative data. What exactly is a histogram?
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! Example: Money magazine undertook a study in 2009 to estimate the average cost for a visit to a hospital emergency
! room. A random sample of 175 emergency room visits in a certain urban area was taken, and the out-of-pocket costs
! associated with that visit were recorded. A histogram for the collected data is given below:
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! When summarizing or describing a distribution, the following four characteristics must be discussed:
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! 1. When asked to
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! describe a
! 2. distribution, make
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sure you address
3. these four
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! characteristics in
! 4.
! context and in
! complete sentences.
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Packet 7: Summarizing Quantitative Data page 2
! Let’s consider each of these four characteristics individually.
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Shape of the distribution
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! When describing a distribution, the first think we should consider is what shape the distribution has. We will
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consider five common shapes (shown below):
! Shape Histogram Description
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M
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! Measure of Center Notation Description
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! The calculation of these measures, while not difficult, can be tedious. Instead of calculating these summary
! statistics by hand, we will rely on the use of StatCrunch.
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! STA 205 Notes Buckley Fall 2018
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