Review the two-way frequency table. What are the missing values?(1 point)

Question

Favorite Snack Third Graders Fourth Graders Total
Salty 35
43
Sweet
42 57
Total 50 50 100

Answer 1

To fill in the missing values in the two-way frequency table, we can make use of the given totals for the rows and columns.

1. Let's first analyze the totals for each row and column. The table we have is structured as follows:

| Favorite Snack | Third Graders | Fourth Graders | Total | |----------------|----------------|----------------|-------| | Salty | 35 | ? | 43 | | Sweet | ? | 57 | 42 | | Total | 50 | 50 | 100 |

2. We know the following:

   • The total number of Third Graders is 50.
   • The total number of Fourth Graders is 50.
   • The total number of Salty snack lovers is 43.
   • The total number of Sweet snack lovers is 42.

3. Calculating the missing values:

   • For Fourth Graders who like Salt: \[ \text{Fourth Graders (Salty)} = \text{Total (Salty)} - \text{Third Graders (Salty)} = 43 - 35 = 8 \]

   • For Third Graders who like Sweet: \[ \text{Third Graders (Sweet)} = \text{Total (Third Graders)} - \text{Third Graders (Salty)} = 50 - 35 = 15 \]

4. Now, we can fill in the missing values in the table:

| Favorite Snack | Third Graders | Fourth Graders | Total | |----------------|----------------|----------------|-------| | Salty | 35 | 8 | 43 | | Sweet | 15 | 57 | 42 | | Total | 50 | 50 | 100 |

Thus the missing values are:

• Fourth Graders (Salty): 8
• Third Graders (Sweet): 15