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 set up the equations based on the totals.

The table is structured as follows:

- For "Like to Watch TV":
- Children: (unknown, let's call it **x**)
- Adults: 75
- Total: 130

- For "Don’t Like to Watch TV":
- Children: (unknown, let's call it **y**)
- Adults: 84
- Total: 152

Now, let's set up the equations based on the totals provided.

1. For the total of individuals who "Like to Watch TV":
\[
x + 75 = 130
\]
Solving for **x**:
\[
x = 130 - 75 = 55
\]

2. For the total of individuals who "Don’t Like to Watch TV":
\[
y + 84 = 152
\]
Solving for **y**:
\[
y = 152 - 84 = 68
\]

Now, let's summarize the completed table with the missing values:

| TV-Watching Preference | Children | Adults | Total |
|--------------------------------|----------|--------|-------|
| Like to Watch TV | 55 | 75 | 130 |
| Don’t Like to Watch TV | 68 | 84 | 152 |
| Total | 139 | 143 | 282 |

Thus, the missing values are:
- For "Like to Watch TV", Children: **55**
- For "Don’t Like to Watch TV", Children: **68**