Using Graphs to Persuade: Measures of Center and Variability

The video tutorial teaches how to use graphs for persuasion by analyzing measures of center and variability. It explains the concepts of median, mode, mean, and MAD, and how they can be used to interpret data effectively. The tutorial demonstrates the impact of individual test scores on averages and compares individual performance with class performance. It also provides a practical example of using graphs to persuade parents for a raise in allowance, emphasizing the importance of selecting appropriate measures of center to represent data accurately.

What is the Mean Absolute Deviation (MAD) used for?

• To calculate the most frequent number in a data set

• To find the number in the middle of a data set

• To measure the average distance of each data point from the mean

• To determine the highest and lowest values in a data set

Why might the median be a better representation of test scores than the mean?

• Because it is always higher than the mean

• Because it includes all data points

• Because it is not affected by extremely high or low scores

• Because it is the most frequently occurring score

How does the mode of your test scores compare to the class's mode?

• Your mode is lower than the class's mode

• Your mode is not applicable

• Your mode is higher than the class's mode

• Your mode is the same as the class's mode

What does a high MAD indicate about your test scores?

• The median is lower than the mean

• There is a lot of variability in your scores

• The mean is a good representation of your scores

• There is little variability in your scores

How can you use measures of center to persuade your parents for a raise in allowance?

• By proving that you never miss a day of chores

• By demonstrating that your median and mode exceed expectations

• By showing that your mean is lower than expected

• By highlighting that you do chores every day