Number of pets for each student in Mr. Bernhardt's class: 0,0,1,1,1,2,2,2,2,3,3,3,4,4

Number of pets for each student in Ms. Daniels class: 1,1,1,1,2,2,2,3,3,3,3

Compare the graphs showing the number of pets each student in Mr. Bernhardt’s and Ms. Daniel’s classes has. In 3–5 sentences, state whether the distributions are symmetric and provide at least two similarities and two differences.

1 answer

When comparing the distributions of pets in Mr. Bernhardt's and Ms. Daniels' classes, we observe that Mr. Bernhardt's data displays a right-skewed distribution, as there are more students with fewer pets and fewer students with a higher number of pets. In contrast, Ms. Daniels' distribution is somewhat more symmetric, peaking at one pet and tapering off evenly as the number of pets increases.

Two similarities between the two distributions are that both classes show clusters of students with 1 and 2 pets, and both distributions contain students with pets ranging from zero to four. However, two differences are that Mr. Bernhardt's class has a wider range of pets, including students with up to four pets, while Ms. Daniels' class has students with a maximum of three pets. Additionally, Mr. Bernhardt's class has a higher frequency of students with no pets compared to Ms. Daniels' class, which does not have any students with zero pets.