Compare location. This means comparing the medians to analyze centrality. Are the medians the same? Is one higher than the other? Lower than the other?

1. Watch these videos about five-number summary, box plots, and outliers.

2. Complete the following problems:

Problem 1: Consider the following set of numbers: (18,19,19,24,33,33,33,35,37,38,39,40) and create a box plot using these numbers.

Copy and paste the data into this Box Plot calculator.

What would be the five-number summary? Use this descriptive calculator to determine it.

Problem 2: Now let us take another set of numbers (3,5,7,7,11,13,17,19,23,29) and repeat the procedure described above.

Copy and paste the data into this Box Plot calculator.

What would be the five-number summary? Use this descriptive calculator to determine it

Problem 3: Compare the second data set to the first set. Which set of data has the largest spread?

Discussion Prompts

Respond to the following prompts in your initial post:

Compare location. This means comparing the medians to analyze centrality. Are the medians the same? Is one higher than the other? Lower than the other?

Compare spread.

Compare the range. If you are interested in the spread of all of the data, it is represented on a box plot by the distance between the smallest value and the largest value, including any outliers. Is one data set more varied than the other? Are they equivalent?

Compare the interquartile range (IQR). The length of the box is the interquartile range. The box represents the middle 50% of the data. It is calculated by finding the difference between Q3 and Q1. Is one box wider than the other? Are they the same width?