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Lies, Damned Lies, or Statistics- How to Tell the Truth with Statistics, 2017a

Lies, Damned Lies, or Statistics- How to Tell the Truth with Statistics, 2017a

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12 1. ONE-VARIABLE STATISTICS: BASICS<br />

One nice feature stem-and-leaf plots have is that <strong>the</strong>y contain all of <strong>the</strong> data values,<br />

<strong>the</strong>y do not lose anything (unlike our next visualization method, f<strong>or</strong> example).<br />

1.3.2. [Frequency] His<strong>to</strong>grams. The most imp<strong>or</strong>tant visual representation of quantitative<br />

data is a his<strong>to</strong>gram. His<strong>to</strong>grams actually look a lot like a stem-and-leaf plot, except<br />

turned on its side and <strong>with</strong> <strong>the</strong> row of numbers turned in<strong>to</strong> a vertical bar, like a bar graph.<br />

The height of each of <strong>the</strong>se bars would be how many<br />

Ano<strong>the</strong>r way of saying that is that we would be making bars whose heights were determined<br />

by how many sc<strong>or</strong>es were in each group of ten. Note <strong>the</strong>re is still a question of in<strong>to</strong><br />

which bar a value right on <strong>the</strong> edge would count: e.g., does <strong>the</strong> data value 50 count in <strong>the</strong><br />

bar <strong>to</strong> <strong>the</strong> left of that number, <strong>or</strong> <strong>the</strong> bar <strong>to</strong> <strong>the</strong> right? It doesn’t actually matter which side,<br />

but it is imp<strong>or</strong>tant <strong>to</strong> state which choice is being made.<br />

EXAMPLE 1.3.2. Continuing <strong>with</strong> <strong>the</strong> sc<strong>or</strong>e data in Example 1.3.1 and putting all data<br />

values x satisfying 20 ≤ x

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