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 use the totals provided.

Given:

1. Totals for each category:
   • Total for Salty snacks = 43 (from Third Graders) + (missing value for Fourth Graders)
   • Total for Sweet snacks = (missing value for Third Graders) + 42 (from Fourth Graders) = 57
   • Overall Total for Third Graders = 50
   • Overall Total for Fourth Graders = 50
   • Grand Total = 100

Let's fill in the table step by step:

1. Salty Snacks:

   • Total Salty = 35 + (Fourth Graders)
   • We know the Total for Salty is 43.
   • Thus, 35 + (Fourth Graders) = 43
   • Solving this gives: \[ \text{Fourth Graders (Salty)} = 43 - 35 = 8 \]

2. Sweet Snacks:

   • Total Sweet = (Third Graders) + 42
   • We know the Total for Sweet is 57.
   • Thus, (Third Graders) + 42 = 57
   • Solving this gives: \[ \text{Third Graders (Sweet)} = 57 - 42 = 15 \]

Let's compile the results:

Now we can fill in the table:

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

Final Missing Values:

• The missing value for Fourth Graders (Salty) is 8.
• The missing value for Third Graders (Sweet) is 15.