---
url: "https://questionstar.com/principles-of-survey-research/chapter-5/slide-174.html"
title: "Measures of Dispersion"
type: "lehrbuch-slide"
chapter: 5
chapterTitle: "Data Analysis: A Concise Overview of Statistical Techniques"
slide: 174
---

# Measures of Dispersion

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

Standard Deviation

![s = √s²](/principles-of-survey-research/media/formel_s_sqrt_s2.png)

![σ = √σ²](/principles-of-survey-research/media/formel_sigma_sqrt.png)

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

![s² = 117 / (12 − 1) ≈ 10.6](/principles-of-survey-research/media/formel_s2_117.png)

square inches

![s = √10.6 ≈ 3.3](/principles-of-survey-research/media/formel_s_sqrt106.png)

inches

Which data set has a higher standard deviation?

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

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

*[Diagramm: Measures of Dispersion]*

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*Slide 174 of 274 · Chapter 5: Data Analysis: A Concise Overview of Statistical Techniques · Principles of Survey Research · Dr. Paul Marx*