Question

Use the two-way frequency table to answer the question. What are the missing values?(1 point)
TV-Watching Preference Children Adults Total
Like to Watch TV
75 130
Don’t Like to Watch TV 84
152
Total 139 143 282

Answer 1

To find the missing values in the two-way frequency table, we can use the information provided.

Let's label the missing values clearly:

- The number of Adults who **Like to Watch TV** is missing, let's denote this as \( x \).
- The number of Adults who **Don’t Like to Watch TV** is missing, we'll denote this as \( y \).

Now, we can set up the equations based on the information in the table.

1. Total number of people who **Like to Watch TV** and **Don’t Like to Watch TV** is given by:

\[
75 + 84 = 159
\]

Thus, \( 75 + x = 139 \).

From this equation, we can find \( x \):

\[
x = 139 - 75 = 64
\]

This means that **64 Adults Like to Watch TV**.

2. Now let's find the missing value \( y \) for Adults who **Don't Like to Watch TV**:

The total for Adults is 143, and we know that 64 Adults like to watch TV, thus:

\[
y = 143 - 64 = 79
\]

So, **79 Adults Don’t Like to Watch TV**.

Now we can fill in the two-way frequency table:

\[
\begin{array}{|c|c|c|c|}
\hline
\text{TV-Watching Preference} & \text{Children} & \text{Adults} & \text{Total} \\
\hline
\text{Like to Watch TV} & 75 & 64 & 139 \\
\hline
\text{Don’t Like to Watch TV} & 84 & 79 & 152 \\
\hline
\text{Total} & 139 & 143 & 282 \\
\hline
\end{array}
\]

Thus, the missing values are:
- **64** (Adults Like to Watch TV)
- **79** (Adults Don’t Like to Watch TV)