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Chapter 5 · Data Analysis: A Concise Overview of Statistical Techniques · Slide 174/274

Measures of Dispersion

Standard deviation keeps the units of measurement of the original data.

5.1.3 · Summarizing Data NumericallyMeasures of Dispersion

Measures of Dispersion

Standard
Deviation
s = √s²σ = √σ²

Standard deviation keeps the units of measurement of the original data.

s² = 117 / (12 − 1) ≈ 10.6 square inchess = √10.6 ≈ 3.3 inches
Which data set has a higher standard deviation?
405060708090100
48 49 52 55 57 58 62 64 65 66 67 72 72 73 75 78 78 78 79 82 84 86 88 89 93 94 95
405060708090100
48 55 57 61 64 65 68 71 71 72 73 73 74 75 78 78 79 79 79 79 82 84 85 88 89 92 95
QUESTIONSTAR · Dr. Paul Marx174 / 274
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