# Algebra Week 4 Assessment

- Author:
- Katie Akesson

- Topic:
- Algebra

A group of 20 students are asked to report the number of pets they keep in their house. The results are 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 21 mean: 2.4 pets standard deviation: 4.47 pets Q1: 0.5 pets median: 1 pet Q3: 2.5 pets Would any of these values be considered outliers? Show work/explain your reasoning.

After being told that they should not count any fish in the report, the value of 3 becomes a 2 and the value of 21 becomes 1. Would these changes affect the median, mean, standard deviation, or interquartile range? If so, would each measure decrease or increase from their original values?

A new pet food company wants to sell their product online and use social media to promote themselves. To determine whether to use a dog or a cat as their mascot, they research the number of people who click on links with an image of a dog or a cat. Based on the shape of the distributions, what measure of center and measure of variability would you use to compare the distributions? Explain your reasoning.

Based on the data shown here, should the company use a dog or cat mascot? Explain your reasoning.