Referenced from lesson Measures of Center

Consider the following list dataset, representing the heaviest bench press (in lbs) for ten powerlifters:

135, 95, 230, 135, 203, 55, 1075, 135, 110, 185

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

Statement Why it’s misleading

“More personal records are set at 135 lbs than any other weight!”

“The average powerlifter can bench press 235 lbs.”

“With a median of 135, that means that half the people in this group can’t even lift 135 lbs.”

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.