When we have histograms of different shapes, how can we use one number to describe the data?

Negatively Skewed Normal Distribution Positively Skewed

“Skewed to the Left” Symmetric “Skewed to the Right”

**Mode**

One method could be the mode, the value in the dataset that occurs the most. Since histograms are composed of bins, however, the mode would be a range of values. Try matching the following modes with the correct histogram:

Mode 1: 20-25

Mode 2: 110-120

Mode 3: 150-160

Mode 1 belongs to the positively skewed distribution; Mode 2 to the negatively skewed distribution; and Mode 3 to the normal distribution.

As the bin size decreases, the mode becomes more exact; as the bin size increases, the mode becomes more ambiguous. In *non-uniform* datasets, values are grouped around a particular area. This is where you see the hump of the distribution. For example, take the following dataset, visualized with a dot plot.

• | • | • | • | • | • | ||||

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

A histogram of this data with bin size 5 looks like this:

**This is a preview of Lesson 3. 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 4, 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

Hi! where is lesson 3? Thanks! 📊

Hi Paula! Sorry for the delay. The formatting got messed up with a new version of WordPress, so I had to re-create the preview. You should see it now!