This document discusses different types of graphs used in statistics including frequency distributions, histograms, scatterplots, and making your own scatterplot. It introduces concepts such as frequency, cumulative frequency, intervals, and bivariate relationships. The document is part of a lesson on graphing and distributions in a statistics course for educational research.

1. Unit 1: Background to Inferential Statistics Lesson 3: Graphing and Distributions EDER 6010: Statistics for Educational Research Dr. J. Kyle Roberts University of North Texas Next Slide

2. Frequency Distribution X = 1,2,3,3,3,4,4,4,4, 5,5,5,5,5,5,5,6,6,6,6, 6,6,7,7,7,7,8,8,9,10 Cumulative frequency Next Slide 100% 30 1 10 97% 29 1 9 93% 28 2 8 87% 26 4 7 73% 22 6 6 53% 16 7 5 30% 9 4 4 17% 5 3 3 7% 2 1 2 3% 1 1 1 Percent Cumulative frequency Frequency f Score 30 28 22 9 2 Cumulative Frequency 2 9 – 10 6 7 – 8 13 5 – 6 7 3 – 4 2 1 – 2 Frequency Score

3. Histogram Next Slide 1 10 1 9 2 8 4 7 6 6 7 5 4 4 3 3 1 2 1 1 Frequency f Score

4. Frequency Histogram Interval Based Next Slide 30 2 9 – 10 28 6 7 – 8 22 13 5 – 6 9 7 3 – 4 2 2 1 – 2 Cumulative frequency Frequency Score

5. Frequency Histogram Categorical Based (a.k.a., Nominal) Next Slide

6. Scatterplot “Paired Observations” Bivariate Relationships Next Slide Person 4 Person 3 Person 2 Person 1 Person 3 4 2 3 2 2 1 1 Y X 2 4 -2 -2 2 4 5

7. Scatterplot: Making Your Own Next Slide 2 4 -2 -2 2 4 5 Person 4 Person 3 Person 2 Person 1 Person 2 2 2 3 4 1 1 3 Y X

8. Unit 1: Background to Inferential Statistics Lesson 3: Graphing and Distributions EDER 6010: Statistics for Educational Research Dr. J. Kyle Roberts University of North Texas Next Slide