Let’s say you have these two salary distributions. They have the same mean, median, and mode.

The main difference between them is the spread. One way we can see this is by looking at the **range** of each dataset.

The range in the top distribution is $78,600 – $21,180 = $57,420

The range in the bottom distribution is $116,020 – $7350 = $108,670

You can see from the range that the salaries of the general population are much more dispersed whereas salaries of those with social networking accounts are more concentrated.

While range is one method to describe the spread of data, it has limitations. Namely, if the data includes more people within that range, the range will not change. Take these four distributions, for example.

They all have the exact same range, and similar means, medians, and modes, but they all have very different shapes. The top left is relatively uniform; the top right is normal; the bottom left is bimodal; and the bottom right is also normal, but with more data points. Therefore, you see that the range itself does not adequately describe the spread of data.

**This is a preview of Lesson 4. To access the full book, please purchase a hard copy or a digital version. If you opt for the digital version, you will receive a link via email within 1 business day.**

Continue to Lesson 5, or select a lesson below.

Lesson 1: Introduction to Statistical Research Methods

Lesson 2: Visualizing Data

Lesson 3: Central Tendency

Lesson 4: Variability

Lesson 5: Standardizing

Lesson 6: Normal Distribution

Lesson 7: Sampling Distributions

Lesson 8: Estimation

Lesson 9: Hypothesis Testing

Lesson 10: t-Tests for Dependent Samples

Lesson 11: t-Tests for Independent Samples

Lesson 12: Intro to One-Way ANOVA

Lesson 13: One-Way ANOVA: Test significance of differences

Lesson 14: Correlation

Lesson 15: Linear Regression

Lesson 16: Chi-Squared Tests

Afterward

Index