Referenced from lesson Spread of a Data Set

Consider the following dataset, representing the annual income of ten people.

All numbers represent thousands of dollars (so 14 means "$14,000"):

60, 10, 21, 180, 14, 20, 45, 35, 45, 170

1) In the space below, rewrite this dataset in sorted order.

 

2) In the table below, compute the measures of center for this dataset.

Mean (Average) Median Mode(s)

3) In the table below, compute the five number summary of this dataset.

Minimum Q1 Q2 (Median) Q3 Maximum

4) On the number line below, draw a box plot for this dataset.

🖼Show image

5) The following statements are correct …​ but misleading. Write down the reason why.

Statement Why it’s misleading

“They’re rich! The average person makes more than $70k dollars!”

 

 

“It’s a middle-income list: the most common salary is $45k/yr!”

 

 

“This group is really diverse, with people making as little as $14,000 and as much as $280,000!”

 

 

These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, and 1738598). CCbadge Bootstrap:Data Science by Emmanuel Schanzer, Nancy Pfenning, Emma Youndtsmith, Jennifer Poole, Shriram Krishnamurthi, Joe Politz, Ben Lerner, Flannery Denny, and Dorai Sitaram with help from Eric Allatta and Joy Straub is licensed under a Creative Commons 4.0 Unported License. Based on a work at www.BootstrapWorld.org. Permissions beyond the scope of this license may be available by contacting schanzer@BootstrapWorld.org.