Question

A group of students were surveyed to find out if they like cleaning house and/or mowing lawns during the holidays. The results of the survey are shown below: 20 students like cleaning house 5 students like cleaning house but do not like mowing lawns 18 students like mowing lawns 5 students do not like cleaning house Four students created the tables below to represent the data. CH represents cleaning house and ML represents mowing lawns. Sam Like CH Do Not Like CH Total Like ML 15 3 18 Do Not Like ML 5 2 7 Total 20 5 25 Brenda Like CH Do Not Like CH Total Like ML 20 3 23 Do Not Like ML 5 5 10 Total 25 8 33 Cathy Like CH Do Not Like CH Total Like ML 3 15 18 Do Not Like ML 2 5 7 Total 5 20 25 Nathan Like CH Do Not Like CH Total Like ML 3 20 23 Do Not Like ML 5 5 10 Total 8 25 33 Which student's table is correct? Sam Brenda Cathy Nathan

Answer 1

The given data can be presented in a tabular form, and then compared

with the results.

Response:

• The student table that is correct is; Sam

Which is the correct presentation of the two-way table?

The two way tables are presented as follows;

Sam

$\begin{array}{|c|c|c|c|}&Like \ ML&Do \ Not \ Like \ ML&Total\\Like \ CH &15&\mathbf{5}&\mathbf{20}\\Do \ Not \ Like \ CH&3&2& \mathbf{5}\\Total&\mathbf{18}&7&25\end{array}\right]$

Brenda

$\begin{tabular}{|c|c|c|c|}&Like ML&Do Not Like ML&Total\\Like CH &20&5&25\\Do Not Like CH&3&5&8\\Total&23&10&33\end{array}\right]$

Cathy

$\begin{tabular}{|c|c|c|c|}&Like ML&Do Not Like ML&Total\\Like CH &3&2&5\\Do Not Like CH&15&5&20\\Total&18&7&25\end{array}\right]$

Nathan

$\begin{tabular}{|c|c|c|c|}&Like ML&Do Not Like ML&Total\\Like CH &3&5&8\\Do Not Like CH&20&5&25\\Total&23&10&33\end{array}\right]$

The survey result are;

Total number of students that like cleaning houses, CH = 20

The number that like cleaning houses, CH but Do Not Like ML = 5

Total number of students that like mowing lawns, ML = 18 students

Total number of students that Do Not Like CH = 5

• By comparing the above tables with the survey result, the student table that is correct is; Sam

Learn more about two way tables here:

brainly.com/question/16921018