Question

You ask 60 of your classmates if they have any siblings. Complete the​ two-way frequency table to show the results of the survey.

Answer 1

`\begin{array}c\cline{1-4}&\sf Girls&\sf Boys&\sf Total\\\cline{1-4}\sf Yes&25&5&30\\\cline{1-4}\sf No&20&10&30\\\cline{1-4}\sf Total&45&15&60\\\cline{1-4}\end{array}`

Explanation:

A two-way frequency table is a tabular representation of categorical data that displays the frequency (count) of observations falling into two or more categorical variables.

"Yes" row

The number of boys who answered "yes" is 5, and the total number of classmates who answered "yes" is 30. To find the number of girls who answered "yes", subtract the number of boys who answered "yes" from the total number of "yes" responses:

"Yes" Girls = 30 - 5 = 25

So, we enter 25 in the "Yes" Girls cell.

Girls column

To complete the Girls column, we add the number of girls who answered "yes" (25) and the number of girls who answered "no" (20):

Total Girls = 25 + 20 = 45

So, we enter 45 in the Total Girls cell.

Boys column

The number of boys who answered "yes" is 5, and the total number of boys is 15. To find the number of boys who answered "no", subtract the number of boys who answered "yes" from the total number of boys:

"No" Boys = 15 - 5 = 10

So, we enter 10 in the "No" Boys cell.

"No" row

The number of girls who answered "no" is 20, and the number of boys who answered "no" is 10. To find the total number of classmates who answered "no", simply add these two numbers:

"No" Total = 20 + 10 = 30

So, we enter 30 in the "No" Total cell.

Total Total cell

To find the total number of classmates, we can sum either the Total row or the Total column. Let's use the Total row:

Total Total = 30 + 30 = 60

So, we enter 60 in the Total Total cell.